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var chpdata=[

{
  "subject": "Math",
  "chapter": "ch1",
  "chapterName": "Chapter 1 - Integers",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "______ is commutative for whole numbers",
        "ans": "(b) Addition",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Subtraction",
          "(b) Addition",
          "(c) Both (a) and (b)",
          "(d) None"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Zero is an additive identity for ______",
        "ans": "(c) Both (a) and (b)",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Whole numbers",
          "(b) Integers",
          "(c) Both (a) and (b)",
          "(d) None"
        ],
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "When we add ______ to any whole number, we get the some whole number",
        "ans": "(a) 0",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0",
          "(b) 1",
          "(c) –1",
          "(d) 2"
        ],
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "a + (b + c) = (a + b) + c is an ______ property",
        "ans": "(c) Associative",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Commutative",
          "(b) Additive",
          "(c) Associative",
          "(d) None"
        ],
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "(–1) + (–2) = _________",
        "ans": "(b) –3",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 3",
          "(b) –3",
          "(c) 0",
          "(d) 1"
        ],
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "a × 0 = 0 × a = _________",
        "ans": "(b) 0",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) a",
          "(b) 0",
          "(c) 1",
          "(d) None"
        ],
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "(–2) × [(–3) × 5] = _________",
        "ans": "(a) 30",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 30",
          "(b) –30",
          "(c) –15",
          "(d) 15"
        ],
        "val": 7
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The product of three integers does not depend upon the grouping of integers and this is called the ______ property for Multiplication of integers.",
        "ans": "(a) associative",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) associative",
          "(b) distributive",
          "(c) Both",
          "(d) None"
        ],
        "val": 8
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "a × 1 = 1 × a = _________",
        "ans": "(c) a",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 1",
          "(b) 0",
          "(c) a",
          "(d) None"
        ],
        "val": 9
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "(–3) × [(–2) + 4] = _________",
        "ans": "(d) [(–3) × (–2)] + [(–3) × 4]",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) [3 × (–2)] – 4",
          "(b) [(–3) × (–2)] + 4",
          "(c) [(–3) × (–2)] – [(–3) × (–4)]",
          "(d) [(–3) × (–2)] + [(–3) × 4]"
        ],
        "val": 10
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Number of whole numbers lying between –3 and 3 is",
        "ans": "(b) 3",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 2",
          "(b) 3",
          "(c) 4",
          "(d) 5"
        ],
        "val": 11
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Every integer less than 0 has the sign",
        "ans": "(a) –",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) –",
          "(b) +",
          "(c) ×",
          "(d) ÷"
        ],
        "val": 12
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The predecessor of the integer –1 is",
        "ans": "(c) –2",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0",
          "(b) 1",
          "(c) –2",
          "(d) 2"
        ],
        "val": 13
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The successor of the predecessor of –30 is",
        "ans": "(c) –30",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) –29",
          "(b) –31",
          "(c) –30",
          "(d) 30"
        ],
        "val": 14
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "When a negative integer is subtracted from another negative integer, the sign of the result",
        "ans": "(d) depends on the numerical value of the integers.",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) is always negative",
          "(b) is always positive",
          "(c) is never negative",
          "(d) depends on the numerical value of the integers."
        ],
        "val": 15
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "\n\t\tWhen a positive integer and a negative integer are added, we always get a negative integer.\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tAdditive inverse of an integer 5 is (–5).\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\t(–12) + 5 = 12 – 5\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tWhen two negative integers are added we get a positive integer.\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\t15, 10, –5, 0, 5, is a correct pattern.\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\ta – b = b – a\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\ta + 0 = a = 0 + a\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tZero is an additive identity for whole number.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 8
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\t5 + (–6) = 6 + (–5)\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 9
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tIf a and b are two integers then a – b is also an integer.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 10
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tProduct of two negative integers is a positive integer.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 11
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\t(–3) × (–2) × (–2) = 12\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 12
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tMultiplication is commutative for integers.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 13
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\ta × b = b × a\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 14
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tIf the number of negative integers in a product is odd, then the product is a negative integer.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 15
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tDivision is commutative for whole numbers.\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 16
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\ta ÷ 1 = 1\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 17
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\t(–a) ÷ (–b) = a ÷ b, where b ≠ 0.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 18
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\ta ÷ (–1) = –a\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 19
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tFor any integer a, a ÷ 0 is not defined.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 20
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tTwo integers whose sum is zero are called additive inverses of each other.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 21
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tEvery negative integer is less than 0.\n\t\t_________\n\t",
        "ans": "True",
        "code": "TF",
        "val": 22
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tEvery integer is either positive or negative.\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 23
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tZero is not an integer as it is neither positive nor negative.\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 24
      },
      {
        "heading": "State True or False.",
        "qus": "\n\t\tSince 6 > 4, –6 > –4.\n\t\t_________\n\t",
        "ans": "False",
        "code": "TF",
        "val": 25
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "17, 12, 7, ________.",
        "ans": "2",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "When two positive integers are added we get a ________ integer.",
        "ans": "positive",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–10) + 4 = ________ – 10",
        "ans": "4",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "3, 9, 15, 21, ________.",
        "ans": "27",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–15) + 6 = ________.",
        "ans": "–9",
        "code": "FIB",
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "For any two integers a and b, a + b is an ________.",
        "ans": "integer",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "________ is not commutative for integers.",
        "ans": "Subtraction",
        "code": "FIB",
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "5 + (–6) = ________.",
        "ans": "–1",
        "code": "FIB",
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "a + (b+c) = ________ + c.",
        "ans": "(a+b)",
        "code": "FIB",
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "When we add ________ to any whole number, we get the same whole number.",
        "ans": "zero",
        "code": "FIB",
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–3) + (–7) = (–7) + ________.",
        "ans": "(–3)",
        "code": "FIB",
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–27) + ________ = –27",
        "ans": "0",
        "code": "FIB",
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "33 + ________ = 0",
        "ans": "(–33)",
        "code": "FIB",
        "val": 13
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "[14 + (–10)] + 8 = 14 + ________",
        "ans": "[(–10) + 8]",
        "code": "FIB",
        "val": 14
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–7) + [12 + (–3)] = ________ + (–3)",
        "ans": "[(–7) + 12]",
        "code": "FIB",
        "val": 15
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–4) × 3 = ________",
        "ans": "–12",
        "code": "FIB",
        "val": 16
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Multiplying a positive integer and a negative integer we get a ________ integer.",
        "ans": "negative",
        "code": "FIB",
        "val": 17
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "a × (–b) = (–a) × b = ________",
        "ans": "–(a×b)",
        "code": "FIB",
        "val": 18
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–7) × (–7) = ________",
        "ans": "49",
        "code": "FIB",
        "val": 19
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If the number of negative integers in a product is even, then the product is a ________ integer.",
        "ans": "positive",
        "code": "FIB",
        "val": 20
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Division is the inverse operation of ________.",
        "ans": "Multiplication",
        "code": "FIB",
        "val": 21
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–20) ÷ 4 = ________.",
        "ans": "(–5)",
        "code": "FIB",
        "val": 22
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–201) ÷ (–3) = ________.",
        "ans": "67",
        "code": "FIB",
        "val": 23
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "a ÷ (–b) = ________ ÷ b",
        "ans": "(–a)",
        "code": "FIB",
        "val": 24
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "0 ÷ a = ________ for, a ≠ 0.",
        "ans": "0",
        "code": "FIB",
        "val": 25
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–63) ÷ _______ = –1",
        "ans": "63",
        "code": "FIB",
        "val": 26
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "277 ÷ _______ = 277",
        "ans": "1",
        "code": "FIB",
        "val": 27
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "–159 ÷ _______ = 159",
        "ans": "(–1)",
        "code": "FIB",
        "val": 28
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "–93 ÷ ________ = 1",
        "ans": "(–93)",
        "code": "FIB",
        "val": 29
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "________ ÷ 1 = 36",
        "ans": "36",
        "code": "FIB",
        "val": 30
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "________ ÷ 29 = – 1",
        "ans": "–29",
        "code": "FIB",
        "val": 31
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "18 ÷ _________ = – 9",
        "ans": "(–2)",
        "code": "FIB",
        "val": 32
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "________ ÷ 4 = –7",
        "ans": "(–28)",
        "code": "FIB",
        "val": 33
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "On the number line, –9 is to the ________ of zero.",
        "ans": "left",
        "code": "FIB",
        "val": 34
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The additive inverse of 0 is ________",
        "ans": "0",
        "code": "FIB",
        "val": 35
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "(–63) + 8 ________ (–52) – (9) (<, >, =)",
        "ans": ">",
        "code": "FIB",
        "val": 36
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "–1 ________ 0 (<, >, =)",
        "ans": "<",
        "code": "FIB",
        "val": 37
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "________ – 347 = –470",
        "ans": "–123",
        "code": "FIB",
        "val": 38
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": " ",
        "ans": "(i) Bharuch – 5, Baroda – 16, Ahmedabad – 20, Mumbai – 30",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1a1.jpg",
          "width": "310",
          "height": "175"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "  ",
        "ans": "(ii) 25",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1a2.jpg",
          "width": "310",
          "height": "175"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "   ",
        "ans": "(iii) 10",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1a3.jpg",
          "width": "310",
          "height": "175"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers.<br>If John’s scores in five successive rounds were 30, 20, –8, 10, –5. what was his total at the end?",
        "ans": "30 + 20 + (–8) + 10 + (–5)<br>= 30 + 20 – 8 + 10 – 5 = 47",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "At Ooty, temperature was –3 °C on Sunday and then it dropped by 1 °C on Monday. What was the temperature on Monday? On Tuesday, it rose by 3 °C. What was the temperature on Tuesday?",
        "ans": "Ooty's temperature on Monday = –3 –1 = –4°C <br> Ooty's temperature on Tuesday = –4 + 3 = –1°C",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A plane is flying at the height of 3000 m above the sea level. At a particular point, it is exactly above a submarine floating 1300 m below the sea level. What is the vertical distance between them?",
        "ans": "Vertical distance between a plane and a submarine = 3000 + 1300 = 4300 m",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Nayna deposits <span>&#8377;</span>1500 in his bank account and withdraws <span>&#8377;</span>893 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Nayna’s account after the withdrawal?",
        "ans": "Balance in Nayna’s account after withdrawal = 1500 – 893 = <span>&#8377;</span>607",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "    ",
        "ans": "                                                                                                                                                                                                                                                                                                                                                                             ",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1a4.jpg",
          "width": "310",
          "height": "90"
        },
        "ansimg": {
          "image": "ch1a4a.jpg",
          "width": "110",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "     ",
        "ans": "img src='ch1ans7.jpg', width=\"275\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1a7.jpg",
          "width": "300",
          "height": "40"
        },
        "ansimg": {
          "image": "ch1ans7.jpg",
          "width": "275",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "      ",
        "ans": "img src='ch1ans7a.jpg', width=\"275\", height=\"75\"",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1b7.jpg",
          "width": "300",
          "height": "40"
        },
        "ansimg": {
          "image": "ch1ans7a.jpg",
          "width": "275",
          "height": "75"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "       ",
        "ans": "img src='ch1ans7b.jpg', width=\"275\", height=\"75\"",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1c7.jpg",
          "width": "300",
          "height": "40"
        },
        "ansimg": {
          "image": "ch1ans7b.jpg",
          "width": "275",
          "height": "75"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "        ",
        "ans": "img src='ch1ans7c.jpg', width=\"275\", height=\"75\"",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch1d7.jpg",
          "width": "300",
          "height": "40"
        },
        "ansimg": {
          "image": "ch1ans7c.jpg",
          "width": "275",
          "height": "75"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A water tank has steps inside it. A monkey is sitting on the topmost step (i.e. the first step). The water level is at the tenth step:<br>(i) He jumps 2 steps down and then jumps back 1 step up. In how many jumps will he reach the water level?",
        "ans": "(i) First jump = 1 + 2 = 3 step; Second jump = 3 – 1 = 2 step <br>Third jump = 2 + 2 = 4 step; Fourth jump = 4 – 1 = 3 step<br>Fifth jump = 3 + 2 = 5 step; Sixth jump = 5 – 1 = 4 step<br>Seventh jump = 4 + 2 = 6 step; Eighth jump = 6 – 1 = 5 step<br>Ninth jump = 5 + 2 = 7 step; Tenth jump 7 – 1 = 6 step<br>Eleventh jump = 6 + 2 = 8 step; Twelveth jump = 8 – 1 = 7 step<br>Thirteenth jump = 7 + 2 = 9 step; Fourteenth jump = 9 – 1 = 8 step<br>Fifteenth jump = 8 + 2 = 10 step; Sixteenth jump = 10 – 1 = 9 step<br>Seventeenth jump = 9 + 2 = 11 step; Eighteenth jump = 11 – 1 = 10 step<br>Thus, Monkey will reach at 10th step in Eighteen jumps.",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A water tank has steps inside it. A monkey is sitting on the topmost step (i.e. the first step). The water level is at the tenth step:<br>((ii) After drinking water, he want to go back. For this, he jumps 3 steps up and 1 step down in every move.In how many jumps will he reach the top level?",
        "ans": "img src='ch1ans8ii.jpg', width=\"350\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans8ii.jpg",
          "width": "350",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write down a pair of integers whose:<br>(i) Sum is –9",
        "ans": "img src='ch1ans1.2a.jpg', width=\"120\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.2a.jpg",
          "width": "120",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write down a pair of integers whose:<br>((ii) difference is –7",
        "ans": "img src='ch1ans1.2b.jpg', width=\"120\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.2b.jpg",
          "width": "120",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write down a pair of integers whose:<br>(iii) Sum is 0",
        "ans": "img src='ch1ans1.2c.jpg', width=\"120\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.2c.jpg",
          "width": "120",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "(i) Write a pair of negative integers whose difference gives 7",
        "ans": "img src='ch1ans1.2a2.jpg', width=\"120\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.2a2.jpg",
          "width": "120",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "(ii) Write a negative Integer and a positive integer whose sum is –2",
        "ans": "img src='ch1ans1.2b2.jpg', width=\"120\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.2b2.jpg",
          "width": "120",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "(i) Write a pair of negative integers whose difference gives 7<br>(ii) Write a negative Integer and a positive integer whose sum is –2<br>(iii) Write a positive integer and a negative integer whose sum is –3",
        "ans": "img src='ch1ans1.2c2.jpg', width=\"120\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.2c2.jpg",
          "width": "450",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a quiz, team A scored –25, 9, 0 and team B scored 0, –25, 9 in three successive rounds. Which team has scored more? Can we say that we can add integers in any order?",
        "ans": "img src='ch1ans1.2a3.jpg', width=\"325\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.2a3.jpg",
          "width": "325",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(i)(–1) × 124",
        "ans": "(i) – 124",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(ii) 8 × (–1)",
        "ans": "(ii) –8",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(iii) (–13) × (–40)",
        "ans": "(iii) 520",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(iv) (–217) × (–1)",
        "ans": "(iv) 217",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(v) (–19) × 21 × 0",
        "ans": "(v) 0",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(vi) (–11) × (–15) × 10",
        "ans": "(vi) 1650",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(vii) 7 × (–2) × (–3)",
        "ans": "(vii) 42",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(viii) (–12) × (–4) × (–6)",
        "ans": "(viii) –288",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>((ix) (–2) × (–3) × (–1) × 3",
        "ans": "(ix) –18",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find each of the following products:<br>(x) (–2) × (–1) × (–3) × (–9)",
        "ans": "(x) 54",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Verify the following:<br>(i) 17 × [6+ (–2)] = [17 × 6] + [17 × (–2)]",
        "ans": "img src='ch1ans1.3a2.jpg', width=\"250\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 32,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3a2.jpg",
          "width": "250",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Verify the following:<br>(ii) (–23) × [(–9) + (–5)] = [(–23) × (–9)]+[(–23) × (–5)]",
        "ans": "img src='ch1ans1.3b2.jpg', width=\"250\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 33,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3b2.jpg",
          "width": "250",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Determine the integer whose product with (–1) is<br>(i) 29 <br>(ii) –17<br> (iii) 0",
        "ans": "(i) (–29)<br> (ii) 17<br> (iii) 0",
        "code": "AFQ",
        "options": null,
        "val": 34,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Starting from (–1) × 3, write various products showing some pattern to show (–1) × (–1) = 1",
        "ans": "(–1) × 3 = –3<br>(–1) × 9 = –9<br>(–1) × (–7) = 7<br>(–1) × 21 = –21<br>(–1) × (–16) = 16<br>(–1) × (–12) = 12<br>(–1) × 5 = –5<br>(–1) × (–17) = 17<br>This shows that multiplication of a negative integer with positive integer gives negative integer and multiplication of a negative integer with negative integer gives positive integer.",
        "code": "AFQ",
        "options": null,
        "val": 35,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the product, using suitable properties.<br>(i) 13 × (–17) × (–10) × (–3)",
        "ans": "(i) –6630",
        "code": "AFQ",
        "options": null,
        "val": 36,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the product, using suitable properties.<br>(ii) 8 × (–26) + (–26) × (–13)",
        "ans": "img src='ch1ans1.3a5.jpg', width=\"280\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 37,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3a5.jpg",
          "width": "280",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the product, using suitable properties.<br>(iii) (–13) × 91",
        "ans": "img src='ch1ans1.3b5.jpg', width=\"200\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 38,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3b5.jpg",
          "width": "200",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the product, using suitable properties.<br>(iv) 8 × (40 – 3)",
        "ans": "img src='ch1ans1.3c5.jpg', width=\"130\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 39,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3c5.jpg",
          "width": "130",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the product, using suitable properties.<br>(v) (–43) × (–19) + 43",
        "ans": "img src='ch1ans1.3d5.jpg', width=\"170\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 40,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3d5.jpg",
          "width": "170",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A certain Freezing process requires that room temperature be lowered from 35°C at the rate of 7°C every hour. What will be the room temperature 6 hours after the process begins?",
        "ans": "Present room temperature = 35°C<br>Decreasing the temperature every hour = 7°C<br>Room temperature after 6 hours = 35°C + 6 × (–7°C) = 35°C– 42°C = –7°C<br>Thus the room temperature after 6 hours is –7°C",
        "code": "AFQ",
        "options": null,
        "val": 41,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a class test containing 12 questions, 4 marks are awarded for every correct answer and (–1) marks awarded for every incorrect answer and 0 for questions not attempted.<br>(i) Hitesh gets 9 correct and 3 incorrect answers. What is his score?",
        "ans": "img src='ch1ans1.3a7.jpg', width=\"310\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 42,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3a7.jpg",
          "width": "310",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a class test containing 12 questions, 4 marks are awarded for every correct answer and (–1) marks awarded for every incorrect answer and 0 for questions not attempted.<br>(ii) Amyrah gets 6 correct and 6 incorrect answers, what is her score?",
        "ans": "img src='ch1ans1.3b7.jpg', width=\"310\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 43,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3b7.jpg",
          "width": "310",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a class test containing 12 questions, 4 marks are awarded for every correct answer and (–1) marks awarded for every incorrect answer and 0 for questions not attempted.<br>(iii) Jay gets 3 correct and 5 incorrect answers out of 8 questions he attempts. What is his score?",
        "ans": "img src='ch1ans1.3c7.jpg', width=\"330\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 44,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3c7.jpg",
          "width": "330",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A shirt manufacturing company earns a profit of <span>&#8377;</span> 9 per shirt of Type–A sold and a loss of <span>&#8377;</span>4 per shirt of Type–B shirt sold.<br>(i) The company sells 2500 shirts of Type–A and 4000 shirts of Type–B in a month. What is its profit or loss?",
        "ans": "img src='ch1ans1.3a8.jpg', width=\"350\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 45,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3a8.jpg",
          "width": "350",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A shirt manufacturing company earns a profit of <span>&#8377;</span> 9 per shirt of Type–A sold and a loss of <span>&#8377;</span>4 per shirt of Type–B shirt sold.<br>(ii) What is the number of Type–A shirts it must sell to have neither profit nor loss, if the number of Type–B shirts sold is 3375.",
        "ans": "img src='ch1ans1.3b8.jpg', width=\"390\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 46,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.3b8.jpg",
          "width": "390",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Replace the blank with an integer to make it a true statement.<br>(i) (–4) × ______ = –28",
        "ans": "(i) 7",
        "code": "AFQ",
        "options": null,
        "val": 47,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Replace the blank with an integer to make it a true statement.<br>(ii) (–7) × ______ = 63",
        "ans": "(ii) (–9)",
        "code": "AFQ",
        "options": null,
        "val": 48,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Replace the blank with an integer to make it a true statement.<br>(iii) (–5) × ______= 25",
        "ans": "(iii) (–5)",
        "code": "AFQ",
        "options": null,
        "val": 49,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Replace the blank with an integer to make it a true statement.<br>(iv) 11 × ______ = – 110",
        "ans": "(iv) (–10)",
        "code": "AFQ",
        "options": null,
        "val": 50,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(i) 40 ÷ (–5)",
        "ans": "(i) –8",
        "code": "AFQ",
        "options": null,
        "val": 51,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(ii) (–30) ÷ 6",
        "ans": "(ii) –5",
        "code": "AFQ",
        "options": null,
        "val": 52,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(iii) (–48) ÷ (–8)",
        "ans": "(iii) 6",
        "code": "AFQ",
        "options": null,
        "val": 53,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(iv) (–37) ÷ (37)",
        "ans": "(iv) –1",
        "code": "AFQ",
        "options": null,
        "val": 54,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(v) 19 ÷ [(–2)+1]",
        "ans": "(v) –19",
        "code": "AFQ",
        "options": null,
        "val": 55,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(vi) 0 ÷ (–6)",
        "ans": "(vi) 0",
        "code": "AFQ",
        "options": null,
        "val": 56,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(vii) (–29) ÷ [(–28) + (–1)]",
        "ans": "(vii) 1",
        "code": "AFQ",
        "options": null,
        "val": 57,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(viii) [(–33) ÷ 11] ÷ (–3)",
        "ans": "(viii) 1",
        "code": "AFQ",
        "options": null,
        "val": 58,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Evaluate each of the following:<br>(ix) [(–9)+5] ÷ 2",
        "ans": "(ix) –2",
        "code": "AFQ",
        "options": null,
        "val": 59,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for each of the following values of a, b and c <br>(i) a = 24, b = –2, c = 4",
        "ans": "img src='ch1ans1.4a2.jpg', width=\"400\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 60,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.4a2.jpg",
          "width": "400",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for each of the following values of a, b and c <br>(ii) a = (–8), b = 1, c =1",
        "ans": "img src='ch1ans1.4b2.jpg', width=\"400\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 61,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.4b2.jpg",
          "width": "400",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write five pairs of integers (a,b) such that a ÷ b = –4. One such pair is (24,–6) because 24 ÷ (–6) = (–4)",
        "ans": "(i) (16, –4)<br> (ii) (–12, 3)<br> (iii) (–8, 2)<br> (iv) (36, –9)<br> (v) (40, –10)",
        "code": "AFQ",
        "options": null,
        "val": 62,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The temperature at 12 noon was 8°C above zero. If it decreases at the rate of 4°C per hour until midnight, at what time would the temperature be 16°C below zero? What would be the temperature at midnight?",
        "ans": "img src='ch1ans1.4a5.jpg', width=\"340\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 63,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.4a5.jpg",
          "width": "340",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a class test (+2) marks are given for every correct answer and (–1) mark are given for every incorrect answer and no marks for not attempting any question.<br> (i) Vasu scored 35 marks. If he has got 20 correct answers, how many questions has he attempted incorrectly?",
        "ans": "                                                                                                                                                                                                                                                                                                                                                                     ",
        "code": "AFQ",
        "options": null,
        "val": 64,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.4a6.jpg",
          "width": "450",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a class test (+2) marks are given for every correct answer and (–1) mark are given for every incorrect answer and no marks for not attempting any question.<br> (ii) Monika scored 30 marks. If she has got 21 correct answers, how many questions has she attempted incorrectly?",
        "ans": "img src='ch1ans1.4b6.jpg', width=\"340\", height=\"140\"",
        "code": "AFQ",
        "options": null,
        "val": 65,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.4b6.jpg",
          "width": "340",
          "height": "140"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "An elevator descends into a mine shaft at the rate of 7 m/ min. If the descent starts from 15 m above the ground level how long will it take to reach –475 m?",
        "ans": "img src='ch1ans1.4a7.jpg', width=\"550\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 66,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch1ans1.4a7.jpg",
          "width": "550",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Temperature of a place at 12:00 noon was + 3°C. Temperature increased by 1°C in the first hour and decreased by 2°C in the second hour. What was the temperature at 2:00 p.m.?",
        "ans": "Temperature at 12.00 noon was +3°C<br>Temperature increased by 1°C in first hour = 3 + 1 = 4°C<br>Temperature decreased by 2°C in the second hour = 4 – 2 = 2°C<br>Thus, the temperature at 2:00 p.m. was 2°C",
        "code": "AFQ",
        "options": null,
        "val": 67,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write Five distinct pairs of integers whose sum is 9",
        "ans": "(a) 1 + 8 = 9<br> (b) 2 + 7 = 9<br> (c) 3 + 6 = 9<br> (d) 4 + 5 = 9<br> (e) 12 + ( –3) = 12 – 3 = 9",
        "code": "AFQ",
        "options": null,
        "val": 68,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Arrange the following integers in the descending order: 10, –7, 3, –2, 0, –1, 5",
        "ans": "10, 5, 3, 0, –1, –2, –7",
        "code": "AFQ",
        "options": null,
        "val": 69,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the value of 49 – (–40) – (–3) + 69",
        "ans": "49 + 40 + 3 + 69 = 161",
        "code": "AFQ",
        "options": null,
        "val": 70,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write two integers which are greater than –10 but their sum is smaller than –10.",
        "ans": "Let first integer =–4 and second integer = –7 [∴ – 4 > (–10) and –7 > –10]<br>sum = –4 + (–7)<br>= –4 – 7 = –11&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[∴ –11 < –10]",
        "code": "AFQ",
        "options": null,
        "val": 71,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      }
    ],
    [],
    [],
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    []
  ],
  "grade": "Grade 7",
  "co": "ch1_co",
  "fib": "ch1_fib",
  "mtf": "ch1_mtf",
  "mcq": "ch1_mcq",
  "saq": "ch1_saq",
  "vsaq": "ch1_vsaq",
  "laq": "ch1_laq",
  "tf": "ch1_tf",
  "nf": "ch1_nf",
  "yn": "ch1_yn",
  "afq": "ch1_afq",
  "pbq": "ch1_pbq",
  "gowf": "ch1_gowf",
  "afow": "ch1_afow",
  "cs": "ch1_cs",
  "ctco": "ch1_ctco",
  "map": "ch1_map",
  "dtf": "ch1_dtf",
  "grf": "ch1_grf",
  "snc": "ch1_snc",
  "jtf": "ch1_jtf",
  "ctt": "ch1_ctt",
  "un": "ch1_un"
},

{
  "subject": "Math",
  "chapter": "ch2",
  "chapterName": "Chapter 2 - Fractions and Decimals",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is not an example of proper fraction?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a3a.jpg",
          "ch2a3b.jpg",
          "ch2a3c.jpg",
          "ch2a3d.jpg"
        ],
		"ansimg": {
          "image": "ch2a3c.jpg",
          "width": "40",
          "height": "30"
        },
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is an example of mixed fraction?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2b3a.jpg",
          "ch2b3b.jpg",
          "ch2b3c.jpg",
          "ch2b3d.jpg"
        ],
		"ansimg": {
          "image": "ch2b3d.jpg",
          "width": "40",
          "height": "30"
        },
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "         ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2c3a.jpg",
          "ch2c3b.jpg",
          "ch2c3c.jpg",
          "ch2c3d.jpg"
        ],
		"pic": {
          "image": "ch2c3.jpg",
          "width": "310",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2c3d.jpg",
          "width": "40",
          "height": "30"
        },
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "          ",
        "ans": "(a) Less",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Less",
          "(b) Greater",
          "(c) Equal",
          "(d) None of the above"
        ],
		"pic": {
          "image": "ch2d3.jpg",
          "width": "190",
          "height": "30"
        },
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is an example of improper fraction?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2d3a.jpg",
          "ch2d3b.jpg",
          "ch2d3c.jpg",
          "ch2d3d.jpg"
        ],
		 "ansimg": {
          "image": "ch2d3b.jpg",
          "width": "40",
          "height": "30"
        },
        
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the unit for area of the rectangle?",
        "ans": "(b) cm<superscript>2</superscript>",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) cm<superscript>3</superscript>",
          "(b) cm<superscript>2</superscript>",
          "(c) cm",
          "(d) mm"
        ],
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "           ",
        "ans": "(a) 10",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 10",
          "(b) 20",
          "(c) 40",
          "(d) 22"
        ],
		"pic": {
          "image": "ch2a18q.jpg",
          "width": "105",
          "height": "30"
        },
        "val": 7
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "            ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a19a.jpg",
          "ch2a19b.jpg",
          "ch2a19c.jpg",
          "ch2a19d.jpg"
        ],
		"pic": {
          "image": "ch2a19q.jpg",
          "width": "105",
          "height": "30"
        },
		"ansimg": {
          "image": "ch2a19d.jpg",
          "width": "30",
          "height": "30"
        },
        "val": 8
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "             ",
        "ans": "(b) 9",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 12",
          "(b) 9",
          "(c) 4",
          "(d) 3"
        ],
		"pic": {
          "image": "ch2a20q.jpg",
          "width": "260",
          "height": "30"
        },
        "val": 9
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is multiplied to a whole number in the fraction?",
        "ans": "(a) Numerator",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Numerator",
          "(b) Denominator",
          "(c) Mixed fraction",
          "(d) None"
        ],
        "val": 10
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the product of 1/3 and 1/4?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a61q1.jpg",
          "ch2a61q2.jpg",
          "ch2a61q3.jpg",
          "ch2a61q4.jpg"
        ],
		"ansimg": {
          "image": "ch2a61q3.jpg",
          "width": "40",
          "height": "40"
        },
		
        "val": 11
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The product of two improper fractions is",
        "ans": "(c) Greater than each of the two fractions",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Less than each of two fractions",
          "(b) Greater than one fraction and less than the other",
          "(c) Greater than each of the two fractions",
          "(d) None of the above."
        ],
        "val": 12
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the product of 2/5 and 5/9 ?",
        "ans": "(d) 2/9",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 9/2",
          "(b) 2/5",
          "(c) 9/5",
          "(d) 2/9"
        ],
        "val": 13
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "              ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a62q1.jpg",
          "ch2a62q2.jpg",
          "ch2a62q3.jpg",
          "ch2a62q4.jpg"
        ],
		"pic": {
          "image": "ch2a62q.jpg",
          "width": "280",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a62q1.jpg",
          "width": "40",
          "height": "40"
        },
        "val": 14
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "               ",
        "ans": "(b) More",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Less",
          "(b) More",
          "(c) Equal",
          "(d) None"
        ],
		"pic": {
          "image": "ch2a63q.jpg",
          "width": "140",
          "height": "30"
        },
        "val": 15
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                ",
        "ans": "(d) 12",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 3",
          "(b) 6",
          "(c) 9",
          "(d) 12"
        ],
		"pic": {
          "image": "ch2a91q.jpg",
          "width": "240",
          "height": "40"
        },
        "val": 16
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                 ",
        "ans": "(a) 11",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a92a.jpg",
          "ch2a92b.jpg",
          "ch2a92c.jpg",
          "ch2a92d.jpg"
        ],
		"pic": {
          "image": "ch2a92q.jpg",
          "width": "140",
          "height": "40"
        },
		
        "val": 17
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                  ",
        "ans": "(c) 3",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a93a.jpg",
          "ch2a93b.jpg",
          "ch2a93c.jpg",
          "ch2a93d.jpg"
        ],
		"pic": {
          "image": "ch2a93q.jpg",
          "width": "240",
          "height": "40"
        },
        "val": 18
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The multiplication of a number and its reciprocal is",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a94a.jpg",
          "ch2a94b.jpg",
          "ch2a94c.jpg",
          "ch2a94d.jpg"
        ],
		"ansimg": {
          "image": "ch2a94a.jpg",
          "width": "40",
          "height": "30"
        },
        "val": 19
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "To divide a whole number by any fraction,________________ that whole number by the reciprocal of that fraction.",
        "ans": "(b) multiply",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) add",
          "(b) multiply",
          "(c) divide",
          "(d) subtract"
        ],
        "val": 20
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "While dividing a whole number by a mixed fraction, first convert the mixed fraction into __________ and then solve it.",
        "ans": "(a) improper fraction",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) improper fraction",
          "(b) proper fraction",
          "(c) none"
        ],
        "val": 21
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the greatest?",
        "ans": "(d) 0.33",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0.03",
          "(b) 0.3",
          "(c) 0.003",
          "(d) 0.33"
        ],
        "val": 22
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the smallest?",
        "ans": "(c) 0.80",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0.88",
          "(b) 0.89",
          "(c) 0.80",
          "(d) 0.99"
        ],
        "val": 23
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What is the value of 3.85 + 1.14?",
        "ans": "(b) 4.99",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 4.89",
          "(b) 4.99",
          "(c) 5.99",
          "(d) 3.99"
        ],
        "val": 24
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What is the value of 4.91 + 5.32?",
        "ans": "(a) 10.23",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 10.23",
          "(b) 10.32",
          "(c) 10.91",
          "(d) 4.23"
        ],
        "val": 25
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the greatest?",
        "ans": "(c) 25.716",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 25.176",
          "(b) 25.167",
          "(c) 25.716",
          "(d) 25.010"
        ],
        "val": 26
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "11.8 can be written in which of following ways in fraction form?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a134a1.jpg",
          "ch2a134a2.jpg",
          "ch2a134a3.jpg",
          "ch2a134a4.jpg"
        ],
		"ansimg": {
          "image": "ch2a134a3.jpg",
          "width": "60",
          "height": "30"
        },
        "val": 27
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What is the product of 0.2 × 0.3?",
        "ans": "(b) 0.06",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0.6",
          "(b) 0.06",
          "(c) 6",
          "(d) 1.6"
        ],
        "val": 28
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The product of 1.25 and 1.1 is",
        "ans": "(a) 1.375",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 1.375",
          "(b) 1.1",
          "(c) 1.75",
          "(d) 1.9"
        ],
        "val": 29
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "When 28.9 is divided by 10, the answer will be_____________.",
        "ans": "(c) 2.89",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 289",
          "(b) 0.289",
          "(c) 2.89",
          "(d) 28.9"
        ],
        "val": 30
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What will be the answer when 7.8 is divided by 0.6?",
        "ans": "(d) 13",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0.13",
          "(b) 1.3",
          "(c) 13.3",
          "(d) 13"
        ],
        "val": 31
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "2.5 ÷ 0.05 is equal to?",
        "ans": "(a) 50",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 50",
          "(b) 500",
          "(c) 5000",
          "(d) 5"
        ],
        "val": 32
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "6.6 ÷ 0.11 is equal to?",
        "ans": "(a) 60",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 60",
          "(b) 6",
          "(c) 66",
          "(d) 600"
        ],
        "val": 33
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                   ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a193a1.jpg",
          "ch2a193a2.jpg",
          "ch2a193a3.jpg",
          "ch2a193a4.jpg"
        ],
		"pic": {
          "image": "ch2a193q.jpg",
          "width": "150",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a193a3.jpg",
          "width": "40",
          "height": "40"
        },
        "val": 34
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                    ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a194a1.jpg",
          "ch2a194a2.jpg",
          "ch2a194a3.jpg",
          "ch2a194a4.jpg"
        ],
		"pic": {
          "image": "ch2a194q.jpg",
          "width": "130",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a194a1.jpg",
          "width": "40",
          "height": "40"
        },
        "val": 35
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                     ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a195a1.jpg",
          "ch2a195a2.jpg",
          "ch2a195a3.jpg",
          "ch2a195a4.jpg"
        ],
		"pic": {
          "image": "ch2a195q.jpg",
          "width": "290",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a195a2.jpg",
          "width": "40",
          "height": "40"
        },
        "val": 36
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                      ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a196a1.jpg",
          "ch2a196a2.jpg",
          "ch2a196a3.jpg",
          "ch2a196a4.jpg"
        ],
		"pic": {
          "image": "ch2a196q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a196a4.jpg",
          "width": "40",
          "height": "40"
        },
        "val": 37
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                       ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a197a1.jpg",
          "ch2a197a2.jpg",
          "ch2a197a3.jpg",
          "ch2a197a4.jpg"
        ],
		"pic": {
          "image": "ch2a197q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a197a4.jpg",
          "width": "40",
          "height": "40"
        },
        "val": 38
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                        ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch2a198a1.jpg",
          "ch2a198a2.jpg",
          "ch2a198a3.jpg",
          "ch2a198a4.jpg"
        ],
		"pic": {
          "image": "ch2a198q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a198a2.jpg",
          "width": "40",
          "height": "40"
        },
        "val": 39
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The product of 0.4 and 0.05 is",
        "ans": "(c) 0.020",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0.20",
          "(b) 20",
          "(c) 0.020",
          "(d) 20.5"
        ],
        "val": 40
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "                         ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a2a.jpg",
          "width": "270",
          "height": "30"
        },
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "                          ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a2b.jpg",
          "width": "270",
          "height": "30"
        },
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "                           ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch2a2c.jpg",
          "width": "270",
          "height": "30"
        },
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "                            ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a2d.jpg",
          "width": "325",
          "height": "30"
        },
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "                             ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch2a2e.jpg",
          "width": "200",
          "height": "30"
        },
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "The denominator remains same when whole number is multiplied with proper or improper fraction",
        "ans": "True",
        "code": "TF",
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "                              ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a15q.jpg",
          "width": "60",
          "height": "30"
        },
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "‘of’ operator represents addition.",
        "ans": "False",
        "code": "TF",
        "val": 8
      },
      {
        "heading": "State True or False.",
        "qus": "                               ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch2a16q.jpg",
          "width": "80",
          "height": "30"
        },
        "val": 9
      },
      {
        "heading": "State True or False.",
        "qus": "                                ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch2a17q.jpg",
          "width": "80",
          "height": "30"
        },
        "val": 10
      },
      {
        "heading": "State True or False.",
        "qus": "To multiply a mixed fraction to a whole number, first convert the mixed fraction to an improper fraction and then multiply.",
        "ans": "True",
        "code": "TF",
        "val": 11
      },
      {
        "heading": "State True or False.",
        "qus": "The product of two improper fractions is less than each of the two fractions.",
        "ans": "False",
        "code": "TF",
        "val": 12
      },
      {
        "heading": "State True or False.",
        "qus": "The product of two proper fractions is less than each of the two fractions.",
        "ans": "True",
        "code": "TF",
        "val": 13
      },
      {
        "heading": "State True or False.",
        "qus": "                                 ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a59q.jpg",
          "width": "80",
          "height": "40"
        },
        "val": 14
      },
      {
        "heading": "State True or False.",
        "qus": "                                  ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a60q.jpg",
          "width": "50",
          "height": "40"
        },
        "val": 15
      },
      {
        "heading": "State True or False.",
        "qus": "In multiplication of two fractions, the numerators of two fractions are multiplied with each other and denominators are multiplied with each other.",
        "ans": "True",
        "code": "TF",
        "val": 16
      },
      {
        "heading": "State True or False.",
        "qus": "The reciprocal of 1/9 is 9.",
        "ans": "True",
        "code": "TF",
        "val": 17
      },
      {
        "heading": "State True or False.",
        "qus": "The multiplication of a fraction and its reciprocal is always equal to 1.",
        "ans": "True",
        "code": "TF",
        "val": 18
      },
      {
        "heading": "State True or False.",
        "qus": "                                   ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch2a89q.jpg",
          "width": "170",
          "height": "40"
        },
        "val": 19
      },
      {
        "heading": "State True or False.",
        "qus": "                                    ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a90q.jpg",
          "width": "240",
          "height": "40"
        },
        "val": 20
      },
      {
        "heading": "State True or False.",
        "qus": "When 6 is divided by 1/3 answer is 18.",
        "ans": "True",
        "code": "TF",
        "val": 21
      },
      {
        "heading": "State True or False.",
        "qus": "0.53 is greater than 0.59.",
        "ans": "False",
        "code": "TF",
        "val": 22
      },
      {
        "heading": "State True or False.",
        "qus": "3 grams is equal to 0.003 kg.",
        "ans": "True",
        "code": "TF",
        "val": 23
      },
      {
        "heading": "State True or False.",
        "qus": "0.06 is smaller than 0.6",
        "ans": "True",
        "code": "TF",
        "val": 24
      },
      {
        "heading": "State True or False.",
        "qus": "In the value 236.45, 4 shows thousandth place.",
        "ans": "False",
        "code": "TF",
        "val": 25
      },
      {
        "heading": "State True or False.",
        "qus": "In the value 34567.890, 5 shows hundreds.",
        "ans": "True",
        "code": "TF",
        "val": 26
      },
      {
        "heading": "State True or False.",
        "qus": "When a decimal is multiplied by 10,100 or 1000, the digits in the product remains same.",
        "ans": "True",
        "code": "TF",
        "val": 27
      },
      {
        "heading": "State True or False.",
        "qus": "                                     ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a133q.jpg",
          "width": "180",
          "height": "40"
        },
        "val": 28
      },
      {
        "heading": "State True or False.",
        "qus": "The multiplication of 1.76 and 1000 gives 176 as a product.",
        "ans": "False",
        "code": "TF",
        "val": 29
      },
      {
        "heading": "State True or False.",
        "qus": "The multiplication of 0.7 and 0.2 is 0.14.",
        "ans": "True",
        "code": "TF",
        "val": 30
      },
      {
        "heading": "State True or False.",
        "qus": "When 6.5 is divided by 10, answer is 65.",
        "ans": "False",
        "code": "TF",
        "val": 31
      },
      {
        "heading": "State True or False.",
        "qus": "The answer of 1.2 ÷ 0.2 is 24.",
        "ans": "False",
        "code": "TF",
        "val": 32
      },
      {
        "heading": "State True or False.",
        "qus": "7 ÷ 3.5 is equal to 5.",
        "ans": "False",
        "code": "TF",
        "val": 33
      },
      {
        "heading": "State True or False.",
        "qus": "36 ÷ 0.2 is equal to 72",
        "ans": "False",
        "code": "TF",
        "val": 34
      },
      {
        "heading": "State True or False.",
        "qus": "When 9.2 is divided by 4, answer is 2.3.",
        "ans": "True",
        "code": "TF",
        "val": 35
      },
      {
        "heading": "State True or False.",
        "qus": "1 is the only number which is not its own reciprocal.",
        "ans": "False",
        "code": "TF",
        "val": 36
      },
      {
        "heading": "State True or False.",
        "qus": "                                      ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch2a191q.jpg",
          "width": "150",
          "height": "40"
        },
        "val": 37
      },
      {
        "heading": "State True or False.",
        "qus": "When a decimal number is divided by 10, the decimal point moves on the right of the number by one place.",
        "ans": "False",
        "code": "TF",
        "val": 38
      },
      {
        "heading": "State True or False.",
        "qus": "The reciprocal of improper fraction is a proper fraction.",
        "ans": "True",
        "code": "TF",
        "val": 39
      },
      {
        "heading": "State True or False.",
        "qus": "                                       ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch2a192q.jpg",
          "width": "80",
          "height": "40"
        },
        "val": 40
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "A fraction that represents a part of a whole is known as ________.",
        "ans": "proper fraction",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "An ________ fraction is combination of whole and a proper fraction.",
        "ans": "Improper",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "An improper fraction can also be written as ________ fraction.",
        "ans": "mixed",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                        ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a4.jpg",
          "width": "370",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2ans4.jpg",
          "width": "30",
          "height": "30"
        },
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                         ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a5.jpg",
          "width": "270",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2ans5.jpg",
          "width": "30",
          "height": "25"
        },
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The area of rectangle is equal to _________ × _________",
        "ans": "length, breadth",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                          ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a12q.jpg",
          "width": "400",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a12a.jpg",
          "width": "20",
          "height": "30"
        },
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "To multiply a whole number with a proper fraction or an improper fraction, we multiply the whole number with the _________ of a fraction, keeping the denominator same.",
        "ans": "numerator",
        "code": "FIB",
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                           ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a13q.jpg",
          "width": "100",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a13a.jpg",
          "width": "20",
          "height": "30"
        },
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                            ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a14q.jpg",
          "width": "110",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a14a.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                             ",
        "ans": "four",
        "code": "FIB",
		"pic": {
          "image": "ch2a55q.jpg",
          "width": "400",
          "height": "40"
        },
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                              ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a56q.jpg",
          "width": "100",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a56a.jpg",
          "width": "25",
          "height": "40"
        },
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The value of the product of two proper fractions is _______ than each of the two fraction.",
        "ans": "less",
        "code": "FIB",
        "val": 13
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                               ",
        "ans": "4",
        "code": "FIB",
		"pic": {
          "image": "ch2a57q.jpg",
          "width": "80",
          "height": "40"
        },
        
        "val": 14
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                ",
        "ans": "11",
        "code": "FIB",
		"pic": {
          "image": "ch2a58q.jpg",
          "width": "80",
          "height": "40"
        },
        "val": 15
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                 ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a83q.jpg",
          "width": "340",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a83a.jpg",
          "width": "25",
          "height": "40"
        },
        "val": 16
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                  ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a84q.jpg",
          "width": "340",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a84a.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 17
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                   ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a85q.jpg",
          "width": "340",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a85a.jpg",
          "width": "25",
          "height": "30"
        },
        "val": 18
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                    ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a86q.jpg",
          "width": "340",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a86a.jpg",
          "width": "60",
          "height": "30"
        },
        "val": 19
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                     ",
        "ans": "4",
        "code": "FIB",
		"pic": {
          "image": "ch2a87q.jpg",
          "width": "240",
          "height": "40"
        },
        "val": 20
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The non-zero numbers whose product with each other is 1, are called the _________ of each other.",
        "ans": "reciprocal",
        "code": "FIB",
        "val": 21
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The reciprocal of 1 is _________.",
        "ans": "1",
        "code": "FIB",
        "val": 22
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                      ",
        "ans": "1/8",
        "code": "FIB",
		"pic": {
          "image": "ch2a88q.jpg",
          "width": "170",
          "height": "40"
        },
        "val": 23
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The reciprocal of 3/11 is ________",
        "ans": "11/3",
        "code": "FIB",
        "val": 24
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "30 paise = ________ rupees.",
        "ans": "0.30",
        "code": "FIB",
        "val": 25
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "1 kg = ________ grams.",
        "ans": "1000",
        "code": "FIB",
        "val": 26
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "8 cm = ________ m.",
        "ans": "0.08",
        "code": "FIB",
        "val": 27
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The addition of 8.15 and 9.23 is ________.",
        "ans": "17.38",
        "code": "FIB",
        "val": 28
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The value of 9.89 – 4.11 is ________.",
        "ans": "5.78",
        "code": "FIB",
        "val": 29
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Write the following decimal numbers in the expanded form.<br>(i) 3.965 = __________",
        "ans": "3 + 0.9 + 0.06 + 0.005",
        "code": "FIB",
        "val": 30
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Write the following decimal numbers in the expanded form.<br>(ii) 95 = __________",
        "ans": "90 + 5",
        "code": "FIB",
        "val": 31
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Write the following decimal numbers in the expanded form.<br>((iii) 28.11 = __________",
        "ans": "20 + 8 + 0.1 + 0.01",
        "code": "FIB",
        "val": 32
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Write the following decimal numbers in the expanded form.<br>(iv) 300.1 = __________",
        "ans": "300 + 0.1",
        "code": "FIB",
        "val": 33
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Write the following decimal numbers in the expanded form.<br>(v) 876.5 = __________",
        "ans": "800 + 70 + 6 + 0.5",
        "code": "FIB",
        "val": 34
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "0.1 × 0.1 = __________",
        "ans": "0.01",
        "code": "FIB",
        "val": 35
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "0.5 × 1.5 = __________",
        "ans": "0.75",
        "code": "FIB",
        "val": 36
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "0.2 × 5 = __________",
        "ans": "1",
        "code": "FIB",
        "val": 37
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "1.25 × 10 = __________",
        "ans": "12.5",
        "code": "FIB",
        "val": 38
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "0.4 × 0.2 = __________",
        "ans": "0.08",
        "code": "FIB",
        "val": 39
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "43 – 5 ÷10 is equal to __________",
        "ans": "42.5",
        "code": "FIB",
        "val": 40
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "7 ÷1.5 = __________",
        "ans": "4.66",
        "code": "FIB",
        "val": 41
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "0.8 ÷ 100 = __________",
        "ans": "0.008",
        "code": "FIB",
        "val": 42
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "When 6.5 is divide by 1.3, the answer is __________",
        "ans": "5",
        "code": "FIB",
        "val": 43
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "0.8 ÷ 4 = __________",
        "ans": "0.2",
        "code": "FIB",
        "val": 44
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                       ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a185q.jpg",
          "width": "240",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a185a.jpg",
          "width": "30",
          "height": "40"
        },
        "val": 45
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "To divide a decimal number by 1000, we shift the decimal point in the number to the _______ by _______ places.",
        "ans": "left, three",
        "code": "FIB",
        "val": 46
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                        ",
        "ans": "24",
        "code": "FIB",
		"pic": {
          "image": "ch2a186q.jpg",
          "width": "110",
          "height": "40"
        },
        "val": 47
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                         ",
        "ans": "5",
        "code": "FIB",
		"pic": {
          "image": "ch2a187q.jpg",
          "width": "110",
          "height": "40"
        },
        "val": 48
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                          ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch2a188q.jpg",
          "width": "150",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a188a.jpg",
          "width": "30",
          "height": "40"
        },
        "val": 49
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                           ",
        "ans": "0.0099",
        "code": "FIB",
		"pic": {
          "image": "ch2a189q.jpg",
          "width": "160",
          "height": "40"
        },
        "val": 50
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                            ",
        "ans": "×",
        "code": "FIB",
		"pic": {
          "image": "ch2a190q.jpg",
          "width": "110",
          "height": "40"
        },
        "val": 51
      }
    ],
    [
      {
        "heading": "Answer the following questions in detail.",
        "qus": "Rajni went from city A to city B and from there to city C. Jayesh went from city D to city A and from there to city B. Distance between city A and B is 8.3 km, distance from B to C is 3.5 km. Similarly distance from city D to A is 5.5 km. Who travelled more and by how much?",
        "ans": "Distance from A to B = 8.3 km <br> Distance from B to C = 3.5 km<br>Distance from D to A = 5.5 km<br>→ Rajni travelled = AB + BC = 8.3 + 3.5 = 11.8 km<br>→ Jayesh travelled = DA + AB = 5.5 + 8.3 = 13.8 km<br>∴ Jayesh travelled more than Rajni by 13.8 – 11.8 = 2.0 km.",
        "code": "LATQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions in detail.",
        "qus": "Radha bought 6 kg 200 gm of apples and 3 kg 300 gm of bananas. Raju bought 7 kg 500 gm of mangoes and 2 kg 600 gm of oranges. Who bought more fruits?",
        "ans": "img src='ch2a131a.jpg', width=\"350\", height=\"260\"",
        "code": "LATQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a131a.jpg",
          "width": "350",
          "height": "260"
        }
      },
      {
        "heading": "Answer the following questions in detail.",
        "qus": "                                                             ",
        "ans": "img src='ch2a201a.jpg', width=\"310\", height=\"140\"",
        "code": "LATQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a201q.jpg",
          "width": "350",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a201a.jpg",
          "width": "310",
          "height": "140"
        }
      },
      {
        "heading": "Answer the following questions in detail.",
        "qus": "                                                              ",
        "ans": "img src='ch2a203a.jpg', width=\"310\", height=\"140\"",
        "code": "LATQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a203q.jpg",
          "width": "350",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a203a.jpg",
          "width": "320",
          "height": "200"
        }
      }
    ],
    [],
    [
      {
        "heading": "Answer the following questions in short.",
        "qus": "A two-wheeler covers a distance of 48.5 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?",
        "ans": "img src='ch2a150a.jpg', width=\"330\", height=\"110\"",
        "code": "SATQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a150a.jpg",
          "width": "330",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "A vehicle covers a distance of 10.50 km in 2.5 litres of petrol. How much distance will it cover in one litre of petrol?",
        "ans": "img src='ch2a184a.jpg', width=\"400\", height=\"70\"",
        "code": "SATQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a184a.jpg",
          "width": "400",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "                                                               ",
        "ans": "img src='ch2a199a.jpg', width=\"370\", height=\"90\"",
        "code": "SATQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a199q.jpg",
          "width": "340",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a199a.jpg",
          "width": "370",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "What will be the cost of cutting a 30.2 m cloth, if the rate is <span>&#8377;</span>10 per metre?",
        "ans": "img src='ch2a200a.jpg', width=\"280\", height=\"70\"",
        "code": "SATQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a200a.jpg",
          "width": "280",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "Kajol travels 360 km in 12.5 litres of fuel. How much distance can she travel in 1 litre of fuel?",
        "ans": "img src='ch2a202a.jpg', width=\"240\", height=\"90\"",
        "code": "SATQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a202a.jpg",
          "width": "240",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "                                                                ",
        "ans": "img src='ch2a204a.jpg', width=\"370\", height=\"80\"",
        "code": "SATQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a204q.jpg",
          "width": "350",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a204a.jpg",
          "width": "370",
          "height": "80"
        }
      }
    ],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                 ",
        "ans": "img src='ch2a4a.jpg', width=\"130\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a4q.jpg",
          "width": "80",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a4a.jpg",
          "width": "130",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                  ",
        "ans": "img src='ch2a4b.jpg', width=\"130\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2b4q.jpg",
          "width": "80",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a4b.jpg",
          "width": "130",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                   ",
        "ans": "img src='ch2b4a.jpg', width=\"135\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2c4q.jpg",
          "width": "80",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2b4a.jpg",
          "width": "135",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                    ",
        "ans": "img src='ch2b4b.jpg', width=\"170\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2d4q.jpg",
          "width": "80",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2b4b.jpg",
          "width": "170",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                     ",
        "ans": "img src='ch2e4a.jpg', width=\"130\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2e4q.jpg",
          "width": "80",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2e4a.jpg",
          "width": "130",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                      ",
        "ans": "img src='ch2f4a.jpg', width=\"180\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2f4q.jpg",
          "width": "100",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2f4a.jpg",
          "width": "180",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                       ",
        "ans": "img src='ch2g4a.jpg', width=\"180\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2g4q.jpg",
          "width": "90",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2g4a.jpg",
          "width": "180",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                        ",
        "ans": "img src='ch2h4a.jpg', width=\"190\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2h4q.jpg",
          "width": "90",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2h4a.jpg",
          "width": "190",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                         ",
        "ans": "img src='ch2a5a.jpg', width=\"300\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a5q.jpg",
          "width": "240",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a5a.jpg",
          "width": "300",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                          ",
        "ans": "No. It is not a magic square as the sum of the diagonals is not equal to the sides.",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a6q.jpg",
          "width": "400",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                           ",
        "ans": "img src='ch2a7a.jpg', width=\"400\", height=\"230\"",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a7q.jpg",
          "width": "350",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a7a.jpg",
          "width": "400",
          "height": "230"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                            ",
        "ans": "img src='ch2a8a.jpg', width=\"440\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a8q.jpg",
          "width": "380",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a8a.jpg",
          "width": "440",
          "height": "200"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                             ",
        "ans": "img src='ch2a9a.jpg', width=\"360\", height=\"140\"",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a9q.jpg",
          "width": "430",
          "height": "70"
        },
        "ansimg": {
          "image": "ch2a9a.jpg",
          "width": "360",
          "height": "140"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                              ",
        "ans": "img src='ch2a10a.jpg', width=\"310\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a10q.jpg",
          "width": "400",
          "height": "70"
        },
        "ansimg": {
          "image": "ch2a10a.jpg",
          "width": "310",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                               ",
        "ans": "img src='ch2a11a.jpg', width=\"390\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a11q.jpg",
          "width": "400",
          "height": "70"
        },
        "ansimg": {
          "image": "ch2a11a.jpg",
          "width": "390",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                ",
        "ans": "(i) (b) ",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a21q.jpg",
          "width": "260",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                 ",
        "ans": "(ii) (d)",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a22q.jpg",
          "width": "260",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                  ",
        "ans": "(iii) (a)",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a23q.jpg",
          "width": "260",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                   ",
        "ans": "(iv) (c)",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a24q.jpg",
          "width": "260",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                    ",
        "ans": "img src='ch2a25a.jpg', width=\"190\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a25q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a25a.jpg",
          "width": "190",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                     ",
        "ans": "img src='ch2a26a.jpg', width=\"190\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a26q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a26a.jpg",
          "width": "190",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                      ",
        "ans": "img src='ch2a27a.jpg', width=\"200\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a27q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a27a.jpg",
          "width": "200",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                       ",
        "ans": "img src='ch2a28a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a28q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a28a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                        ",
        "ans": "img src='ch2a29a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a29q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a29a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                         ",
        "ans": "img src='ch2a30a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a30q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a30a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                          ",
        "ans": "img src='ch2a31a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a31q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a31a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                           ",
        "ans": "img src='ch2a32a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a32q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a32a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                            ",
        "ans": "img src='ch2a33a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a33q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a33a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                               ",
        "ans": "img src='ch2a35a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a35q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a35a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                ",
        "ans": "img src='ch2a36a.jpg', width=\"90\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a36q.jpg",
          "width": "370",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a36a.jpg",
          "width": "90",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                 ",
        "ans": "img src='ch2a37a.jpg', width=\"200\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 32,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a37q.jpg",
          "width": "200",
          "height": "180"
        },
        "ansimg": {
          "image": "ch2a37a.jpg",
          "width": "200",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                  ",
        "ans": "img src='ch2a38a.jpg', width=\"200\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 33,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a38q.jpg",
          "width": "200",
          "height": "180"
        },
        "ansimg": {
          "image": "ch2a38a.jpg",
          "width": "200",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                   ",
        "ans": "img src='ch2a39a.jpg', width=\"200\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 34,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a39q.jpg",
          "width": "200",
          "height": "180"
        },
        "ansimg": {
          "image": "ch2a39a.jpg",
          "width": "200",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                    ",
        "ans": "img src='ch2a40a.jpg', width=\"130\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 35,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a40q.jpg",
          "width": "150",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a40a.jpg",
          "width": "130",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                     ",
        "ans": "img src='ch2a41a.jpg', width=\"150\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 36,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a41q.jpg",
          "width": "150",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a41a.jpg",
          "width": "150",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                      ",
        "ans": "img src='ch2a42a.jpg', width=\"150\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 37,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a42q.jpg",
          "width": "150",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a42a.jpg",
          "width": "150",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                       ",
        "ans": "img src='ch2a43a.jpg', width=\"150\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 38,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a43q.jpg",
          "width": "150",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a43a.jpg",
          "width": "150",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                        ",
        "ans": "img src='ch2a45a.jpg', width=\"150\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 39,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a45q.jpg",
          "width": "230",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a45a.jpg",
          "width": "150",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                         ",
        "ans": "img src='ch2a46a.jpg', width=\"80\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 40,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a46q.jpg",
          "width": "230",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a46a.jpg",
          "width": "80",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                          ",
        "ans": "img src='ch2a47a.jpg', width=\"150\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 41,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a47q.jpg",
          "width": "230",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a47a.jpg",
          "width": "150",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                           ",
        "ans": "img src='ch2a48a.jpg', width=\"150\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 42,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a48q.jpg",
          "width": "230",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a48a.jpg",
          "width": "150",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                            ",
        "ans": "img src='ch2a49a.jpg', width=\"150\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 43,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a49q.jpg",
          "width": "230",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a49a.jpg",
          "width": "150",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                             ",
        "ans": "img src='ch2a50a.jpg', width=\"150\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 44,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a50q.jpg",
          "width": "230",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a50a.jpg",
          "width": "150",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                              ",
        "ans": "img src='ch2a51a.jpg', width=\"270\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 45,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a51q.jpg",
          "width": "150",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a51a.jpg",
          "width": "270",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                               ",
        "ans": "img src='ch2a52a.jpg', width=\"270\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 46,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a52q.jpg",
          "width": "150",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a52a.jpg",
          "width": "270",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                ",
        "ans": "img src='ch2a53a.jpg', width=\"270\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 47,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a53q.jpg",
          "width": "150",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a53a.jpg",
          "width": "270",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                 ",
        "ans": "img src='ch2a54a.jpg', width=\"400\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 48,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a54q.jpg",
          "width": "400",
          "height": "100"
        },
        "ansimg": {
          "image": "ch2a54a.jpg",
          "width": "400",
          "height": "170"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                  ",
        "ans": "img src='ch2a64a.jpg', width=\"200\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 49,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a64q.jpg",
          "width": "220",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a64a.jpg",
          "width": "200",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                   ",
        "ans": "img src='ch2a65a.jpg', width=\"200\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 50,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a65q.jpg",
          "width": "220",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a65a.jpg",
          "width": "200",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                    ",
        "ans": "img src='ch2a66a.jpg', width=\"200\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 51,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a66q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a66a.jpg",
          "width": "200",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                     ",
        "ans": "img src='ch2a67a.jpg', width=\"100\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 52,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a67q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a67a.jpg",
          "width": "100",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                      ",
        "ans": "img src='ch2a68a.jpg', width=\"100\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 53,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a68q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a68a.jpg",
          "width": "100",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                       ",
        "ans": "img src='ch2a69a.jpg', width=\"200\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 54,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a69q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a69a.jpg",
          "width": "200",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                        ",
        "ans": "img src='ch2a70a.jpg', width=\"110\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 55,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a70q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a70a.jpg",
          "width": "110",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                         ",
        "ans": "img src='ch2a71a.jpg', width=\"150\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 56,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a71q.jpg",
          "width": "260",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a71a.jpg",
          "width": "150",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                          ",
        "ans": "img src='ch2a72a.jpg', width=\"150\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 57,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a72q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a72a.jpg",
          "width": "150",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                           ",
        "ans": "img src='ch2a73a.jpg', width=\"200\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 58,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a73q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a73a.jpg",
          "width": "200",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                            ",
        "ans": "img src='ch2a74a.jpg', width=\"160\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 59,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a74q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a74a.jpg",
          "width": "160",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                             ",
        "ans": "img src='ch2a75a.jpg', width=\"200\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 60,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a75q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a75a.jpg",
          "width": "200",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                              ",
        "ans": "img src='ch2a76a.jpg', width=\"150\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 61,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a76q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a76a.jpg",
          "width": "150",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                               ",
        "ans": "img src='ch2a77a.jpg', width=\"180\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 62,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a77q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a77a.jpg",
          "width": "180",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                ",
        "ans": "img src='ch2a78a.jpg', width=\"220\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 63,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a78q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a78a.jpg",
          "width": "220",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                 ",
        "ans": "img src='ch2a79a.jpg', width=\"220\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 64,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a79q.jpg",
          "width": "180",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a79a.jpg",
          "width": "220",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                  ",
        "ans": "img src='ch2a80a.jpg', width=\"300\", height=\"115\"",
        "code": "AFQ",
        "options": null,
        "val": 65,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a80q.jpg",
          "width": "400",
          "height": "70"
        },
        "ansimg": {
          "image": "ch2a80a.jpg",
          "width": "300",
          "height": "115"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                   ",
        "ans": "img src='ch2a81a.jpg', width=\"410\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 66,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a81q.jpg",
          "width": "400",
          "height": "50"
        },
        "ansimg": {
          "image": "ch2a81a.jpg",
          "width": "410",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                    ",
        "ans": "img src='ch2a81a.jpg', width=\"410\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 67,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a82q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch2a82aq.jpg",
          "width": "410",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                     ",
        "ans": "img src='ch2a94aa.jpg', width=\"80\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 68,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a94q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a94aa.jpg",
          "width": "80",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                      ",
        "ans": "img src='ch2a95a.jpg', width=\"90\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 69,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a95q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a95a.jpg",
          "width": "90",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                       ",
        "ans": "img src='ch2a96a.jpg', width=\"410\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 70,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a96q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a96a.jpg",
          "width": "410",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                        ",
        "ans": "img src='ch2a97a.jpg', width=\"140\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 71,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a97q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a97a.jpg",
          "width": "140",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                         ",
        "ans": "img src='ch2a98a.jpg', width=\"140\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 72,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a98q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a98a.jpg",
          "width": "140",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                          ",
        "ans": "img src='ch2a99a.jpg', width=\"140\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 73,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a99q.jpg",
          "width": "110",
          "height": "40"
        },
        "ansimg": {
          "image": "ch2a99a.jpg",
          "width": "140",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                           ",
        "ans": "img src='ch2a100a.jpg', width=\"140\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 74,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a100q.jpg",
          "width": "410",
          "height": "80"
        },
        "ansimg": {
          "image": "ch2a100a.jpg",
          "width": "140",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                            ",
        "ans": "img src='ch2a101a.jpg', width=\"140\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 75,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a101q.jpg",
          "width": "410",
          "height": "80"
        },
        "ansimg": {
          "image": "ch2a101a.jpg",
          "width": "140",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                             ",
        "ans": "img src='ch2a102a.jpg', width=\"140\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 76,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a102q.jpg",
          "width": "410",
          "height": "80"
        },
        "ansimg": {
          "image": "ch2a102a.jpg",
          "width": "140",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                              ",
        "ans": "img src='ch2a103a.jpg', width=\"140\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 77,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a103q.jpg",
          "width": "410",
          "height": "80"
        },
        "ansimg": {
          "image": "ch2a103a.jpg",
          "width": "140",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                               ",
        "ans": "img src='ch2a104a.jpg', width=\"170\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 78,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a104q.jpg",
          "width": "410",
          "height": "80"
        },
        "ansimg": {
          "image": "ch2a104a.jpg",
          "width": "170",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                ",
        "ans": "img src='ch2a105a.jpg', width=\"170\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 79,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a105q.jpg",
          "width": "410",
          "height": "80"
        },
        "ansimg": {
          "image": "ch2a105a.jpg",
          "width": "170",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                 ",
        "ans": "img src='ch2a106a.jpg', width=\"90\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 80,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a106q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a106a.jpg",
          "width": "90",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                  ",
        "ans": "img src='ch2a107a.jpg', width=\"140\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 81,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a107q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a107a.jpg",
          "width": "140",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                   ",
        "ans": "img src='ch2a108a.jpg', width=\"140\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 82,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a108q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a108a.jpg",
          "width": "140",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                    ",
        "ans": "img src='ch2a109a.jpg', width=\"140\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 83,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a109q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a109a.jpg",
          "width": "140",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                     ",
        "ans": "img src='ch2a110a.jpg', width=\"140\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 84,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a110q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a110a.jpg",
          "width": "140",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                      ",
        "ans": "img src='ch2a111a.jpg', width=\"140\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 85,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a111q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a111a.jpg",
          "width": "140",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                       ",
        "ans": "img src='ch2a112a.jpg', width=\"140\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 86,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a112q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a112a.jpg",
          "width": "140",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                        ",
        "ans": "img src='ch2a113a.jpg', width=\"140\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 87,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a113q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a113a.jpg",
          "width": "140",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                         ",
        "ans": "img src='ch2a114a.jpg', width=\"160\", height=\"50\"",
        "code": "AFQ",
        "options": null,
        "val": 88,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a114q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a114a.jpg",
          "width": "160",
          "height": "50"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                          ",
        "ans": "img src='ch2a115a.jpg', width=\"140\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 89,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a115q.jpg",
          "width": "130",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a115a.jpg",
          "width": "140",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                           ",
        "ans": "img src='ch2a116a.jpg', width=\"190\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 90,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a116q.jpg",
          "width": "130",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a116a.jpg",
          "width": "190",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                            ",
        "ans": "img src='ch2a117a.jpg', width=\"140\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 91,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch2a117q.jpg",
          "width": "130",
          "height": "30"
        },
        "ansimg": {
          "image": "ch2a117a.jpg",
          "width": "140",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Which is greater? <br> (i) 0.55 or 0.055",
        "ans": "img src='ch2a118a.jpg', width=\"160\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 92,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a118a.jpg",
          "width": "160",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Which is greater? <br> (ii) 0.85 or 0.89",
        "ans": "img src='ch2a119a.jpg', width=\"200\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 93,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a119a.jpg",
          "width": "200",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Which is greater? <br> (iii) 1.84 or 1.74",
        "ans": "img src='ch2a120a.jpg', width=\"200\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 94,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a120a.jpg",
          "width": "200",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Which is greater? <br> (iv) 0.39 or 0.51.",
        "ans": "img src='ch2a121a.jpg', width=\"200\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 95,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a121a.jpg",
          "width": "200",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Express as rupees using decimals: <br> (i) 10 paise",
        "ans": "img src='ch2a122a.jpg', width=\"240\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 96,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a122a.jpg",
          "width": "240",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Express as rupees using decimals: <br> (ii) 12 rupees 5 paise",
        "ans": "img src='ch2a123a.jpg', width=\"240\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 97,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a123a.jpg",
          "width": "240",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Express as rupees using decimals: <br> (iii) 185 paise",
        "ans": "img src='ch2a124a.jpg', width=\"240\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 98,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a124a.jpg",
          "width": "240",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Express as rupees using decimals: <br> (iv) 80 rupees 99 paise",
        "ans": "img src='ch2a125a.jpg', width=\"240\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 99,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a125a.jpg",
          "width": "240",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "(i) Express 4 cm in metre and kilometre.",
        "ans": "img src='ch2a126a.jpg', width=\"280\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 100,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a126a.jpg",
          "width": "280",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "(ii) Express 23 mm in cm, m and km.",
        "ans": "img src='ch2a127a.jpg', width=\"260\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 101,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a127a.jpg",
          "width": "260",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Express in kg: <br> (i) 250 gm",
        "ans": "img src='ch2a128a.jpg', width=\"200\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 102,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a128a.jpg",
          "width": "200",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Express in kg: <br> (ii) 1850 gm",
        "ans": "img src='ch2a129a.jpg', width=\"200\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 103,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a129a.jpg",
          "width": "200",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Express in kg: <br> (iii) 5 kg 90 gm",
        "ans": "img src='ch2a130a.jpg', width=\"200\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 104,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a130a.jpg",
          "width": "200",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "How much is 25 km less than 42.5 km? How much less is 25 km than 42.5 km?",
        "ans": "img src='ch2a132a.jpg', width=\"150\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 105,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a132a.jpg",
          "width": "150",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (i) 0.2 × 6",
        "ans": "img src='ch2a135a.jpg', width=\"80\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 106,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a135a.jpg",
          "width": "80",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ii) 0.8 × 4",
        "ans": "img src='ch2a136a.jpg', width=\"80\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 107,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a136a.jpg",
          "width": "80",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iii) 42.2 × 3.",
        "ans": "img src='ch2a137a.jpg', width=\"90\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 108,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a137a.jpg",
          "width": "90",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iv) 61.8 × 1.2",
        "ans": "img src='ch2a138a.jpg', width=\"90\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 109,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a138a.jpg",
          "width": "90",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (v) 350.1 × 9",
        "ans": "img src='ch2a139a.jpg', width=\"110\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 110,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a139a.jpg",
          "width": "110",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vi) 0.09 × 5",
        "ans": "img src='ch2a140a.jpg', width=\"90\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 111,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a140a.jpg",
          "width": "90",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (i) 1.8 ×10",
        "ans": "img src='ch2a141a.jpg', width=\"90\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 112,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a141a.jpg",
          "width": "90",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ii) 26.9 × 10",
        "ans": "img src='ch2a142a.jpg', width=\"90\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 113,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a142a.jpg",
          "width": "90",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iii) 111.11 × 1000",
        "ans": "img src='ch2a143a.jpg', width=\"140\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 114,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a143a.jpg",
          "width": "140",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iv) 68.68 × 10",
        "ans": "img src='ch2a144a.jpg', width=\"100\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 115,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a144a.jpg",
          "width": "100",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (v) 0.006 × 10",
        "ans": "img src='ch2a145a.jpg', width=\"100\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 116,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a145a.jpg",
          "width": "100",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vi) 0.565 × 100",
        "ans": "img src='ch2a146a.jpg', width=\"100\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 117,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a146a.jpg",
          "width": "100",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vii) 42.1 × 1000",
        "ans": "img src='ch2a147a.jpg', width=\"100\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 118,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a147a.jpg",
          "width": "100",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (viii) 0.089 × 10",
        "ans": "img src='ch2a148a.jpg', width=\"100\", height=\"50\"",
        "code": "AFQ",
        "options": null,
        "val": 119,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a148a.jpg",
          "width": "100",
          "height": "50"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ix) 10.05 × 10",
        "ans": "img src='ch2a149a.jpg', width=\"100\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 120,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a149a.jpg",
          "width": "100",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (i) 0.3 × 2.8",
        "ans": "img src='ch2a151a.jpg', width=\"110\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 121,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a151a.jpg",
          "width": "110",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ii) 0.2 × 5.11",
        "ans": "img src='ch2a152a.jpg', width=\"110\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 122,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a152a.jpg",
          "width": "110",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iii) 0.02 × 0.2",
        "ans": "img src='ch2a153a.jpg', width=\"120\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 123,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a153a.jpg",
          "width": "120",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iv) 10.09 × 0.55",
        "ans": "img src='ch2a154a.jpg', width=\"130\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 124,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a154a.jpg",
          "width": "130",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (v) 100.1 × 10.5",
        "ans": "img src='ch2a155a.jpg', width=\"140\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 125,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a155a.jpg",
          "width": "140",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vi) 0.08 × 0.9",
        "ans": "img src='ch2a156a.jpg', width=\"140\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 126,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a156a.jpg",
          "width": "140",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vii) 11.2 × 0.3",
        "ans": "img src='ch2a157a.jpg', width=\"140\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 127,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a157a.jpg",
          "width": "140",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (viii) 9.9 × 10.5",
        "ans": "img src='ch2a158a.jpg', width=\"140\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 128,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a158a.jpg",
          "width": "140",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ix) 77.1 × 0.1",
        "ans": "img src='ch2a159a.jpg', width=\"140\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 129,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a159a.jpg",
          "width": "140",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (i) 0.6 ÷ 6",
        "ans": "img src='ch2a160a.jpg', width=\"110\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 130,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a160a.jpg",
          "width": "110",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ii) 0.49 ÷ 7",
        "ans": "img src='ch2a161a.jpg', width=\"110\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 131,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a161a.jpg",
          "width": "110",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iii) 32.4 ÷ 60",
        "ans": "img src='ch2a162a.jpg', width=\"180\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 132,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a162a.jpg",
          "width": "180",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iv) 651.2 ÷16",
        "ans": "img src='ch2a163a.jpg', width=\"120\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 133,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a163a.jpg",
          "width": "120",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (v) 49.49 ÷ 49",
        "ans": "img src='ch2a164a.jpg', width=\"130\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 134,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a164a.jpg",
          "width": "130",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vi) 0.90 ÷ 30",
        "ans": "img src='ch2a165a.jpg', width=\"130\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 135,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a165a.jpg",
          "width": "130",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (i) 9.5 ÷ 100",
        "ans": "img src='ch2a166a.jpg', width=\"130\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 136,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a166a.jpg",
          "width": "130",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ii) 66.80 ÷ 100",
        "ans": "img src='ch2a167a.jpg', width=\"130\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 137,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a167a.jpg",
          "width": "130",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iii) 0.89 ÷ 100",
        "ans": "img src='ch2a168a.jpg', width=\"130\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 138,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a168a.jpg",
          "width": "130",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iv) 0.012 ÷ 100",
        "ans": "img src='ch2a169a.jpg', width=\"130\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 139,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a169a.jpg",
          "width": "130",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (v) 651 ÷ 100",
        "ans": "img src='ch2a170a.jpg', width=\"130\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 140,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a170a.jpg",
          "width": "130",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vi) 33 ÷ 100",
        "ans": "img src='ch2a171a.jpg', width=\"130\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 141,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a171a.jpg",
          "width": "130",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (i) 8.1 ÷ 1000",
        "ans": "img src='ch2a172a.jpg', width=\"130\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 142,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a172a.jpg",
          "width": "130",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ii) 28.4 ÷ 1000",
        "ans": "img src='ch2a173a.jpg', width=\"130\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 143,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a173a.jpg",
          "width": "130",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iii) 1111 ÷ 1000",
        "ans": "img src='ch2a174a.jpg', width=\"60\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 144,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a174a.jpg",
          "width": "60",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iv) 2.35 ÷ 1000",
        "ans": "img src='ch2a175a.jpg', width=\"130\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 145,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a175a.jpg",
          "width": "130",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (v) 999 ÷ 1000",
        "ans": "img src='ch2a176a.jpg', width=\"60\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 146,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a176a.jpg",
          "width": "60",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vi) 86.3 ÷ 1000",
        "ans": "img src='ch2a177a.jpg', width=\"130\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 147,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a177a.jpg",
          "width": "130",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (i) 14 ÷ 3.5",
        "ans": "img src='ch2a178a.jpg', width=\"120\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 148,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a178a.jpg",
          "width": "120",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (ii) 88 ÷ 0.4",
        "ans": "img src='ch2a179a.jpg', width=\"120\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 149,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a179a.jpg",
          "width": "120",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iii) 729 ÷ 0.9",
        "ans": "img src='ch2a180a.jpg', width=\"120\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 150,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a180a.jpg",
          "width": "120",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (iv) 6.25 ÷ 25",
        "ans": "img src='ch2a181a.jpg', width=\"120\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 151,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a181a.jpg",
          "width": "120",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (v) 16.9 ÷ 1.3",
        "ans": "img src='ch2a182a.jpg', width=\"120\", height=\"60\"",
        "code": "AFQ",
        "options": null,
        "val": 152,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a182a.jpg",
          "width": "120",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find: <br> (vi) 1.44 ÷ 12",
        "ans": "img src='ch2a183a.jpg', width=\"120\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 153,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch2a183a.jpg",
          "width": "120",
          "height": "70"
        }
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "mcq": "ch2_mcq",
  "grade": "Grade 7",
  "co": "ch2_co",
  "fib": "ch2_fib",
  "mtf": "ch2_mtf",
  "saq": "ch2_saq",
  "vsaq": "ch2_vsaq",
  "laq": "ch2_laq",
  "tf": "ch2_tf",
  "nf": "ch2_nf",
  "yn": "ch2_yn",
  "afq": "ch2_afq",
  "pbq": "ch2_pbq",
  "gowf": "ch2_gowf",
  "afow": "ch2_afow",
  "cs": "ch2_cs",
  "ctco": "ch2_ctco",
  "map": "ch2_map",
  "dtf": "ch2_dtf",
  "grf": "ch2_grf",
  "snc": "ch2_snc",
  "jtf": "ch2_jtf",
  "ctt": "ch2_ctt",
  "un": "ch2_un"
},

{
  "subject": "Math",
  "chapter": "ch3",
  "chapterName": "Chapter 3 - Data Handling",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "The mode of the given set of numbers 1, 1, 2, 3, 2, 2, 1, 4, 2, 4, 3 is",
        "ans": "(b) 2",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 3",
          "(b) 2",
          "(c) 1",
          "(d) 4"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The median of the data 3, 7, 11, 16, 19, 21, 24 is",
        "ans": "(d) 16",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 19",
          "(b) 21",
          "(c) 11",
          "(d) 16"
        ],
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which measure of central tendency best represents the data of the most popular politician after a debate?",
        "ans": "(c) Mode",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Mean",
          "(b) Median",
          "(c) Mode",
          "(d) Any of above"
        ],
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What is the range of given integers: 0, 15, –11, –17, 20, 6, –4?",
        "ans": "(b) 37",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 31",
          "(b) 37",
          "(c) 20",
          "(d) 3"
        ],
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "In a school, only 3 out of 5 students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?",
        "ans": "(a) 60%",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 60%",
          "(b) 40%",
          "(c) 30%",
          "(d) 50%"
        ],
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The median of the data: 3, 4, 5, 6, 7, 3, 4, is",
        "ans": "(d) 4",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 5",
          "(b) 3",
          "(c) 6",
          "(d) 4"
        ],
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which measures of central tendency gets affected if the extreme observations on both the ends of a data arranged in descending order are removed?",
        "ans": "(a) mean and mode",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) mean and mode",
          "(b) mean and median",
          "(c) mode and median",
          "(d) none"
        ],
        "val": 7
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                             ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch3a2q.jpg",
          "width": "200",
          "height": "40"
        },
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "The mode of a set of observations is the observation that occurs most often.",
        "ans": "True",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "In a given data, arranged in ascending or descending order, the Median gives us the middle observation.",
        "ans": "True",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "The measures of central tendency may not lie between the maximum and minimum value of data.",
        "ans": "False, since measures of central tendency always lie between maximum and minimum value of data.",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "When a coin is tossed, there are 2 possible outcomes.",
        "ans": "True",
        "code": "TF",
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "The probability of getting an ace out of deck of cards is greater than 1.",
        "ans": null,
        "code": "TF",
		"ansimg": {
          "image": "ch3a37a.jpg",
          "width": "410",
          "height": "50"
        },
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "Median of the data may or may not be from the given data.",
        "ans": "True",
        "code": "TF",
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "Mean can never be a fraction.",
        "ans": "False, mean may be a fraction",
        "code": "TF",
        "val": 8
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "The most common representative value of a group of data is the ________ or the ________.",
        "ans": "arithmetic mean, mean",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The result found by subtracting the lowest observation from the highest observation is called ________.",
        "ans": "range",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Means of 5 and 11 is ________.",
        "ans": "8",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Tally marks are represented in groups of ________.",
        "ans": "5",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The number 11 is represented using tally marks as ________.",
        "ans": null,
        "code": "FIB",
		"ansimg": {
          "image": "ch3a1a.jpg",
          "width": "70",
          "height": "30"
        },
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The highest occurring event is called the ________ of the data.",
        "ans": "Mode",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "________ refers to the value which lies in the middle of the data (when arranged in an increasing or decreasing order).",
        "ans": "Median",
        "code": "FIB",
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                              ",
        "ans": "blue",
        "code": "FIB",
		"pic": {
          "image": "ch3a17q.jpg",
          "width": "440",
          "height": "270"
        },
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                               ",
        "ans": "green",
        "code": "FIB",
		"pic": {
          "image": "ch3a18q.jpg",
          "width": "440",
          "height": "270"
        },
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                ",
        "ans": "5",
        "code": "FIB",
		"pic": {
          "image": "ch3a19q.jpg",
          "width": "440",
          "height": "270"
        },
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Those events which have no chance of happening have probability _________.",
        "ans": "0",
        "code": "FIB",
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Those events that are bound to happen have probability _________.",
        "ans": "1",
        "code": "FIB",
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The difference between the highest and the lowest observations of data is _________.",
        "ans": "range",
        "code": "FIB",
        "val": 13
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In a set of observations, the observation that occurs the most often is called _________.",
        "ans": "mode",
        "code": "FIB",
        "val": 14
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Mean, median, mode are the measures of _________.",
        "ans": "central tendency",
        "code": "FIB",
        "val": 15
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In throwing a die, the number of possible outcomes is _________.",
        "ans": "6",
        "code": "FIB",
        "val": 16
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "_________ can be used to compare two collections of data.",
        "ans": "A double bar graph",
        "code": "FIB",
        "val": 17
      }
    ],
    [
      {
        "heading": "Answer the following questions in detail.",
        "qus": "Organise the following marks in a class assessment in a tabular form<br>3, 2, 8, 5, 9, 7, 6, 5, 4, 3, 6, 7, 2, 1, 7<br>(i) Which number is the highest?<br>(ii) Which number is the lowest?<br>(iii) What is the range of the data?<br>(iv) Find the arithmetic mean.",
        "ans": "img src='ch3a3a.jpg', width=\"440\", height=\"300\"",
        "code": "LATQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a3a.jpg",
          "width": "440",
          "height": "300"
        }
      }
    ],
    [],
    [
      {
        "heading": "Answer the following questions in short.",
        "qus": "Tell whether the following is certain to happen, impossible, can happen but not certain<br>(i) Sun rising from East",
        "ans": "(i) Certain to happen",
        "code": "SATQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "Tell whether the following is certain to happen, impossible, can happen but not certain<br>(ii) India winning a test match",
        "ans": "(ii) Can happen but not certain",
        "code": "SATQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "Tell whether the following is certain to happen, impossible, can happen but not certain<br>(iii) A cube made with 8 sides.",
        "ans": "(iii) Impossible",
        "code": "SATQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "There are 8 marbles in a box with numbers from 1 to 8 marked on each of them<br>(i) What is the probability of drawing a marble with number 7?",
        "ans": "img src='ch3a34a.jpg', width=\"320\", height=\"60\"",
        "code": "SATQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a34a.jpg",
          "width": "320",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "There are 8 marbles in a box with numbers from 1 to 8 marked on each of them<br>(ii) What is the probability of drawing a marble with number 4?",
        "ans": "img src='ch3a35a.jpg', width=\"320\", height=\"60\"",
        "code": "SATQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a35a.jpg",
          "width": "320",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "A coin is flipped to decide whether you will answer a question or not. What is the probability that you have to answer?",
        "ans": "img src='ch3a36a.jpg', width=\"380\", height=\"60\"",
        "code": "SATQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a36a.jpg",
          "width": "380",
          "height": "60"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "Following cards are put facing down A, E, I, O, U<br>What is the chance of drawing out<br> (a) a vowel?<br> (b) A or I?<br> (c) a card marked E?<br> (d) a card consonant?",
        "ans": "img src='ch3a40a.jpg', width=\"380\", height=\"140\"",
        "code": "SATQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a40a.jpg",
          "width": "380",
          "height": "140"
        }
      },
      {
        "heading": "Answer the following questions in short.",
        "qus": "What is the probability that a student chosen at random out of 3 girls and 4 boys is a boy?",
        "ans": "img src='ch3a41a.jpg', width=\"170\", height=\"80\"",
        "code": "SATQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a41a.jpg",
          "width": "170",
          "height": "80"
        }
      }
    ],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "Organise the following marks in a class assessment in a tabular form<br>3, 2, 8, 5, 9, 7, 6, 5, 4, 3, 6, 7, 2, 1, 7<br>(i) Which number is the highest?<br>(ii) Which number is the lowest?<br>(iii) What is the range of the data?<br>(iv) Find the arithmetic mean.",
        "ans": "img src='ch3a3a.jpg', width=\"440\", height=\"300\"",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a3a.jpg",
          "width": "440",
          "height": "300"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the mean of first five natural numbers.",
        "ans": "img src='ch3a4a.jpg', width=\"350\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a4a.jpg",
          "width": "350",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                 ",
        "ans": "img src='ch3a5a.jpg', width=\"390\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch3a5q.jpg",
          "width": "440",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a5a.jpg",
          "width": "390",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                  ",
        "ans": "(ii) We should divide the total points by 3 because player B played only three games.",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch3a6q.jpg",
          "width": "400",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                   ",
        "ans": "img src='ch3a7a.jpg', width=\"390\", height=\"70\"",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch3a7q.jpg",
          "width": "400",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a7a.jpg",
          "width": "390",
          "height": "70"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                    ",
        "ans": "img src='ch3a8a.jpg', width=\"390\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch3a8q.jpg",
          "width": "400",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a8a.jpg",
          "width": "390",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The Marks (out of 100) obtained by a group of student in a mathematics test are 67, 75, 49, 81, 79, 73, 92, 66, 72 and 56. Find the:<br> (i) Highest and the lowest marks obtained by the students.",
        "ans": "Arrange the marks obtained by students in ascending order and add<br>49 + 56 + 66 + 67 + 72 + 73 + 75 + 79 + 81 + 92 = 710<br>(i) Highest marks obtained by a student is 92. Lowest marks obtained by a student is 49.",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The Marks (out of 100) obtained by a group of student in a mathematics test are 67, 75, 49, 81, 79, 73, 92, 66, 72 and 56. Find the:<br> (ii) Range of the marks obtained.",
        "ans": "Arrange the marks obtained by students in ascending order and add<br>49 + 56 + 66 + 67 + 72 + 73 + 75 + 79 + 81 + 92 = 710<br>(ii) Range of the marks obtained = Highest marks – Lowest marks <br>= 92 – 49 = 43",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The Marks (out of 100) obtained by a group of student in a mathematics test are 67, 75, 49, 81, 79, 73, 92, 66, 72 and 56. Find the:<br> (iii) Mean marks obtained by the group.",
        "ans": "img src='ch3a9a.jpg', width=\"380\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a9a.jpg",
          "width": "380",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The enrolment in a school during seven consecutive years was as follows:<br>1355, 1401, 1479, 1533, 1603, 1642, 1711. Find the mean enrolment.",
        "ans": "img src='ch3a10a.jpg', width=\"400\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a10a.jpg",
          "width": "400",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                     ",
        "ans": "(i) Range = Maximum rainfall – Minimum rainfall<br>= 12.1 – 5.5 = 6.6 mm",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch3a11q.jpg",
          "width": "440",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                      ",
        "ans": "img src='ch3a12a.jpg', width=\"360\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch3a12q.jpg",
          "width": "440",
          "height": "100"
        },
        "ansimg": {
          "image": "ch3a12a.jpg",
          "width": "360",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                       ",
        "ans": "(iii) On 3 days of the week Rainfall was less than the mean Rainfall, i.e on Monday (7.3), Tuesday (5.5) Wednesday (8.2)",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch3a13q.jpg",
          "width": "440",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The height of 10 girls were measured in cm and the results are as follows:<br> 127, 139, 124, 159, 133, 147, 151, 143, 132, 134.<br>(i) What is the height of the tallest girl?",
        "ans": "Arrange the height of 10 girls in ascending order and add<br>124 + 127 + 132 + 133 + 134 + 139 + 143 + 147 + 151 + 159 = 1389<br>(i) Height of the tallest girl is 159 cm",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The height of 10 girls were measured in cm and the results are as follows:<br> 127, 139, 124, 159, 133, 147, 151, 143, 132, 134.<br>(ii) What is the height of the shortest girl?",
        "ans": "Arrange the height of 10 girls in ascending order and add<br>124 + 127 + 132 + 133 + 134 + 139 + 143 + 147 + 151 + 159 = 1389<br>(ii) Height of the shortest girl is 124 cm",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The height of 10 girls were measured in cm and the results are as follows:<br> 127, 139, 124, 159, 133, 147, 151, 143, 132, 134.<br>(iii) What is the range of the data?",
        "ans": "Arrange the height of 10 girls in ascending order and add<br>124 + 127 + 132 + 133 + 134 + 139 + 143 + 147 + 151 + 159 = 1389<br>(iii) Range = Maximum height – Minimum height <br>= 159 – 124 = 35 cm",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The height of 10 girls were measured in cm and the results are as follows:<br> 127, 139, 124, 159, 133, 147, 151, 143, 132, 134.<br>(iv) What is the mean height of the girls?",
        "ans": "img src='ch3a14a.jpg', width=\"400\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a14a.jpg",
          "width": "400",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The height of 10 girls were measured in cm and the results are as follows:<br> 127, 139, 124, 159, 133, 147, 151, 143, 132, 134.<br>(v) How many girls have heights more than the mean height?",
        "ans": "Arrange the height of 10 girls in ascending order and add<br>124 + 127 + 132 + 133 + 134 + 139 + 143 + 147 + 151 + 159 = 1389<br>(v) 5 girls have the height more than the mean height.",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The scores in mathematics test (out of 30) of 15 students are as follows: 20, 18, 19, 23, 21, 17, 25, 19, 18, 19, 20, 15, 17, 19, 26. Find the mode and median of this data. Are they same?",
        "ans": "Let us arrange the data 15, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 21, 23, 25, 26<br>Here mode is 19 as it appears maximum times (4)<br>Median is also 19 (middle value of the data), so mode and median are same.",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The runs scored in a cricket match by 13 players are as follows: 34, 19, 23, 14, 36, 47, 29, 36, 42, 58, 71, 36, 23. Find the mean, mode and median of this data. Are the three same?",
        "ans": "img src='ch3a15a.jpg', width=\"440\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a15a.jpg",
          "width": "440",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The weights (in kg) of 13 students of a class are:<br>37, 39, 33, 32, 41, 33, 37, 45, 43, 39, 33, 40, 39<br>(i) Find the mode and median of this data.",
        "ans": "Let’s arrange the data in ascending order<br>32, 33, 33, 33, 37, 37, 39, 39, 39, 40, 41, 43, 45,<br>(i) Mode of data is 33 and 39 as they appear thrice- maximum number of observations.<br>Median of the data is 39 as it is the middle most observation.",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The weights (in kg) of 13 students of a class are:<br>37, 39, 33, 32, 41, 33, 37, 45, 43, 39, 33, 40, 39<br>(ii) Is there more than one mode?",
        "ans": "Let’s arrange the data in ascending order<br>32, 33, 33, 33, 37, 37, 39, 39, 39, 40, 41, 43, 45,<br>(ii) Yes, there are two modes for the given data.",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the mode and median of the data:<br>12, 16, 15, 13, 14, 15, 19, 11, 20",
        "ans": "Let’s arrange the data in ascending order 11, 12, 13, 14, 15, 15, 16, 19, 20<br>Mode of the data is 15.<br>Median of the data is also 15.",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Tell whether the statement is true or false:<br>(i) The mode is not always one of the numbers in data.",
        "ans": "False, mode is always one of the number in a data",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Tell whether the statement is true or false:<br>(ii) The mean can never be one of the numbers in a data.",
        "ans": "False",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Tell whether the statement is true or false:<br>(iii) The median is not always one of the numbers in a data.",
        "ans": "False (It may or may not be)",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Tell whether the statement is true or false:<br>The data 4, 3, 5, 2, 1 has mean 5.",
        "ans": "img src='ch3a16a.jpg', width=\"340\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a16a.jpg",
          "width": "340",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "If number of observations in a data is odd number, then median must be a number from the data.",
        "ans": "True",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Calculate the mean, median and mode of the following data: 5, 10, 10, 12, 13,",
        "ans": "img src='ch3a39a.jpg', width=\"380\", height=\"140\"",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch3a39a.jpg",
          "width": "380",
          "height": "140"
        }
      }
    ],
    [],
    [],
    [],
    [
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                        ",
        "ans": "(i) From the figure it is clear that most students (14) have dogs as their pets so dogs are the most popular pet.",
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a20q.jpg",
          "width": "300",
          "height": "270"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 1
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                         ",
        "ans": "(ii) 2 students have cat as a pet.",
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a21q.jpg",
          "width": "300",
          "height": "270"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 2
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                          ",
        "ans": "(i) In the year 1991 about 375 T-shirts were sold.<br>In the year 1993 about 450 T-shirts were sold.<br>In the year 1995 about 500 T-shirts were sold.",
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a22q.jpg",
          "width": "350",
          "height": "270"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 3
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                           ",
        "ans": "(ii) In the year 1994 about 225 T-shirts were sold.<br>In the year 1992 about 600 T-shirts were sold.",
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a23q.jpg",
          "width": "350",
          "height": "270"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 4
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                            ",
        "ans": "(iii) In the year 1994 fewer than 300 T-shirts were sold.",
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a24q.jpg",
          "width": "350",
          "height": "270"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 5
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                             ",
        "ans": "(iv) It can be seen that more than 350 T-shirts and less than 400 T-shirts were sold, so approximately 375 T-shirts were sold.",
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a25q.jpg",
          "width": "350",
          "height": "270"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 6
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                              ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a26q.jpg",
          "width": "380",
          "height": "110"
        },
        "ansimg": {
          "image": "ch3a26a.jpg",
          "width": "340",
          "height": "250"
        },
        "val": 7
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                               ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a27q.jpg",
          "width": "410",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a27a.jpg",
          "width": "340",
          "height": "250"
        },
        "val": 8
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                                ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a28q.jpg",
          "width": "410",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a28a.jpg",
          "width": "340",
          "height": "320"
        },
        "val": 9
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                                 ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a29q.jpg",
          "width": "410",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a29a.jpg",
          "width": "340",
          "height": "320"
        },
        "val": 10
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                                  ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a30q.jpg",
          "width": "410",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a30a.jpg",
          "width": "340",
          "height": "320"
        },
        "val": 11
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                                   ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a31q.jpg",
          "width": "410",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a31a.jpg",
          "width": "400",
          "height": "300"
        },
        "val": 12
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                                    ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a32q.jpg",
          "width": "410",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a32a.jpg",
          "width": "400",
          "height": "300"
        },
        "val": 13
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                                     ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a33q.jpg",
          "width": "410",
          "height": "140"
        },
        "ansimg": {
          "image": "ch3a33a.jpg",
          "width": "400",
          "height": "300"
        },
        "val": 14
      },
      {
        "heading": "Picture-based questions.",
        "qus": "                                                                                                                                                                                      ",
        "ans": null,
        "code": "PBQ",
        "option1": null,
        "option2": null,
        "option3": null,
        "aoption1": null,
        "aoption2": null,
        "aoption3": null,
        "pic": {
          "image": "ch3a42q.jpg",
          "width": "410",
          "height": "120"
        },
        "ansimg": {
          "image": "ch3a42a.jpg",
          "width": "350",
          "height": "300"
        },
        "val": 15
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
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    [],
    [],
    [],
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    [],
    [],
    [],
    [],
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    [],
    [],
    [],
    [],
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    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "grade": "Grade 7",
  "co": "ch3_co",
  "fib": "ch3_fib",
  "mtf": "ch3_mtf",
  "un": "ch3_un",
  "snc": "ch3_snc",
  "jtf": "ch3_jtf",
  "ctt": "ch3_ctt",
  "afq": "ch3_afq",
  "pbq": "ch3_pbq",
  "gowf": "ch3_gowf",
  "afow": "ch3_afow",
  "cs": "ch3_cs",
  "ctco": "ch3_ctco",
  "map": "ch3_map",
  "dtf": "ch3_dtf",
  "grf": "ch3_grf",
  "nf": "ch3_nf",
  "yn": "ch3_yn",
  "mcq": "ch3_mcq",
  "saq": "ch3_saq",
  "vsaq": "ch3_vsaq",
  "tf": "ch3_tf",
  "laq": "ch3_laq"
},

{
  "subject": "Math",
  "chapter": "ch4",
  "chapterName": "Chapter 4 - Simple Equations",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "6 added to thrice of a number gives 10, Equation for given statement is",
        "ans": "(b) 3x + 6 =10",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 2x – 6 = 10",
          "(b) 3x + 6 =10",
          "(c) 2x + 10 = 6",
          "(d) 2x – 10 = 6"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If a/3 = 3, then a = _________.",
        "ans": "(c) 9",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 4",
          "(b) 6",
          "(c) 9",
          "(d) 12"
        ],
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is not an equation?",
        "ans": "(a) x > 10",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) x > 10",
          "(b) 2x = 5",
          "(c) x + 1 = 9",
          "(d) 2a + b = 11"
        ],
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "One-third of number minus 2 is 15.",
        "ans": "(c) x/3 – 2 = 15",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) x/2 – 3 = 15",
          "(b) x/3 – 15 = –2",
          "(c) x/3 – 2 = 15",
          "(d) x/2 – 2 = 15"
        ],
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "x = 3 is the solution of the equation:",
        "ans": "(d) x – 3 = 0",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) x + 3 = 0",
          "(b) –x – 3 = 0",
          "(c) –3 = x",
          "(d) x – 3 = 0"
        ],
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "By adding 3 to both sides of the equation x – 3 = 5, we get",
        "ans": "(b) x = 8",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) x = 3",
          "(b) x = 8",
          "(c) x = 5",
          "(d) x = 0"
        ],
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                       ",
        "ans": "ch4b6b.jpg",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch4b6a.jpg",
          "ch4b6b.jpg",
          "ch4b6c.jpg",
          "ch4b6d.jpg"
		  
        ],
		"pic": {
          "image": "ch4a6q.jpg",
          "width": "225",
          "height": "40"
        },
		"ansimg": {
          "image": "ch4b6a.jpg",
          "width": "60",
          "height": "40"
        },
		
        
        "val": 7
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Solution of the equation 5y = 30 is",
        "ans": "(a) y = 6",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) y = 6",
          "(b) y = 5",
          "(c) y = 35",
          "(d) y = 25"
        ],
        "val": 8
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The value of x which satisfies the equation 2x + 11 = –3",
        "ans": "(b) –7",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 7",
          "(b) –7",
          "(c) 5",
          "(d) –5"
        ],
        "val": 9
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Every equation has ___________ solution.",
        "ans": "(a) one",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) one",
          "(b) two",
          "(c) three",
          "(d) many"
        ],
        "val": 10
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The value for which the expression 2a + 1 and 3a – 4 becomes equal is _______",
        "ans": "(c) 5",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 3",
          "(b) 4",
          "(c) 5",
          "(d) 6"
        ],
        "val": 11
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The solution of 4 + 2 (b + 3) = 20 is _______",
        "ans": "(c) 5",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 4",
          "(b) 6",
          "(c) 5",
          "(d) 10"
        ],
        "val": 12
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following equation can be formed using the equation x = 3?",
        "ans": "(a) 2x + 2 = 8",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 2x + 2 = 8",
          "(b) 3x + 3 = 5",
          "(c) x + 3 = 12",
          "(d) x/3 – 2 = 0"
        ],
        "val": 13
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The equation which cannot be solved in integers is",
        "ans": "(c) 3c – 1 = 3",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 4a + 9 = 25",
          "(b) 2a + 1 = 11",
          "(c) 3c – 1 = 3",
          "(d) x + 5 = 9"
        ],
        "val": 14
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The sum of two times a number and 4 is 14. The number is",
        "ans": "(c) 5",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 3",
          "(b) 4",
          "(c) 5",
          "(d) 6"
        ],
        "val": 15
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "A number whose two-third is 7 more than 9. The number is",
        "ans": "(c) 24",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 1",
          "(b) 2",
          "(c) 24",
          "(d) 4"
        ],
        "val": 16
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The solution of equation ax + b = 0 is",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch4a16q.jpg",
          "ch4b16q.jpg",
          "ch4c16q.jpg",
          "ch4d16q.jpg"
        ],
		"ansimg": {
          "image": "ch4c16q.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 17
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The equation which cannot be solved in integer is",
        "ans": "(c) 4x + 9 = 12",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) x + 3 = 5",
          "(b) 2x – 1 = 5",
          "(c) 4x + 9 = 12",
          "(d) 3x + 2 = 17"
        ],
        "val": 18
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If x – 1 = 3, then 2x + 9 is",
        "ans": "(c) 17",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 15",
          "(b) 16",
          "(c) 17",
          "(d) 18"
        ],
        "val": 19
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Shifting one term from one side of an equation to another side with a change of sign is known as",
        "ans": "(b) transposition",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Commutativity",
          "(b) transposition",
          "(c) distributivity",
          "(d) associativity"
        ],
        "val": 20
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                        ",
        "ans": "(a) 19",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 19",
          "(b) 10",
          "(c) 15",
          "(d) 14"
        ],
		"pic": {
          "image": "ch4a17q.jpg",
          "width": "200",
          "height": "30"
        },
       
        "val": 21
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "x + 5 < 11 is an equation",
        "ans": "False",
        "code": "TF",
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "The value of constant is always fixed",
        "ans": "True",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "In an equation there is always an equality sign.",
        "ans": "True",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "x + 5 = 0, for x = –5.",
        "ans": "True",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "If we add the same number to both sides of an equality, it still holds.",
        "ans": "True",
        "code": "TF",
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "If we multiply or divide both sides of the equality by the same non-zero number, it does not hold.",
        "ans": "False",
        "code": "TF",
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "If different weight is added to both sides of the pan, the balance is tilted.",
        "ans": "True",
        "code": "TF",
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "If L.H.S. is not equal to R.H.S. the equality may hold.",
        "ans": "False",
        "code": "TF",
        "val": 8
      },
      {
        "heading": "State True or False.",
        "qus": "3 is the solution of 2x + 5 = 11.",
        "ans": "True",
        "code": "TF",
        "val": 9
      },
      {
        "heading": "State True or False.",
        "qus": "3/7 is the solution of the equation 3x + 1 = 12.",
        "ans": "False",
        "code": "TF",
        "val": 10
      },
      {
        "heading": "State True or False.",
        "qus": "One-fourth of a number added to itself gives 12, can be represented x/4 + x = 12.",
        "ans": "True",
        "code": "TF",
        "val": 11
      },
      {
        "heading": "State True or False.",
        "qus": "If 5x + 3 = 33, then x = 7.",
        "ans": "False",
        "code": "TF",
        "val": 12
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "Think of a number, multiply it by 3 and add 4 to it then equation formed is ________.",
        "ans": "3x + 4",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "For x = 2, 3x + 2 = ________.",
        "ans": "8",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In an equation there is always an ________ sign.",
        "ans": "equality",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In equation R.H.S. is generally a ________.",
        "ans": "number",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "An equation is a condition on a ________.",
        "ans": "variable",
        "code": "FIB",
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A ________ takes on different numerical values; its value is not fixed.",
        "ans": "variable",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A balanced equation is like a weighing balance with equal ________ in the two pans.",
        "ans": "weights",
        "code": "FIB",
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "By subtracting 3 from both sides of the equation x + 3 = 7, we get x = ________.",
        "ans": "4",
        "code": "FIB",
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The solution of the equation –x + 5 = 0 is ________.",
        "ans": "5",
        "code": "FIB",
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The solution of the equation 5a = 45 is, a = ________.",
        "ans": "9",
        "code": "FIB",
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "While transposing a number, ________ of the number is changed.",
        "ans": "sign",
        "code": "FIB",
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Changing the side of the number is same as ________ a number.",
        "ans": "transposing",
        "code": "FIB",
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Solution of equation 2 (a + 3) = 10 is a = ________.",
        "ans": "2",
        "code": "FIB",
        "val": 13
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Solution of equation –3(x + 2) + 2 = 35 is x = ________.",
        "ans": "–13",
        "code": "FIB",
        "val": 14
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In a test, Vibha gets twice the marks as that of Anjali. Two times Vibha’s marks and three times Anjali’s marks make 350.<br> 1- If Anjali gets x marks, Vibha gets _________ marks.",
        "ans": "2x",
        "code": "FIB",
        "val": 15
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In a test, Vibha gets twice the marks as that of Anjali. Two times Vibha’s marks and three times Anjali’s marks make 350.<br> 2- The equation formed is _________ .",
        "ans": "7x = 350",
        "code": "FIB",
        "val": 16
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In a test, Vibha gets twice the marks as that of Anjali. Two times Vibha’s marks and three times Anjali’s marks make 350.<br> 3- The solution of the equation is _________ .",
        "ans": "x = 50",
        "code": "FIB",
        "val": 17
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In a test, Vibha gets twice the marks as that of Anjali. Two times Vibha’s marks and three times Anjali’s marks make 350.<br> 4- Marks obtained by Anjali is _________ .",
        "ans": "50",
        "code": "FIB",
        "val": 18
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "2x + _________ = 15 has solution –5..",
        "ans": "25",
        "code": "FIB",
        "val": 19
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If 3x + 1 = 4 then value of 2x + 2 is _________ .",
        "ans": "4",
        "code": "FIB",
        "val": 20
      },
      {
        "heading": "Fill in the blanks.",
        "qus": " _________ is the solution of 6x + 9 = 45.",
        "ans": "6",
        "code": "FIB",
        "val": 21
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "x – 3 = _________ ; when x/2 = 4.",
        "ans": "5",
        "code": "FIB",
        "val": 22
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                          ",
        "ans": "0",
        "code": "FIB",
		"pic": {
          "image": "ch4a15q.jpg",
          "width": "230",
          "height": "30"
        },
        "val": 23
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If 8 less than a number is 40, then the number is _______.",
        "ans": "48",
        "code": "FIB",
        "val": 24
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                           ",
        "ans": "img src='ch4a1a.jpg', width=\"450\", height=\"230\"",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4a1q.jpg",
          "width": "450",
          "height": "230"
        },
        "ansimg": {
          "image": "ch4a1a.jpg",
          "width": "450",
          "height": "230"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Check whether the value given in the brackets is a solution to the given equation or not: <br> (i) a + 9 = 11 (a = 2)",
        "ans": "img src='ch4a2a.jpg', width=\"250\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a2a.jpg",
          "width": "250",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Check whether the value given in the brackets is a solution to the given equation or not: <br> (ii) 3a + 6 = 12 (a = 2)",
        "ans": "img src='ch4a2b.jpg', width=\"250\", height=\"125\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a2b.jpg",
          "width": "250",
          "height": "125"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Check whether the value given in the brackets is a solution to the given equation or not: <br> (iii) 2b + 3 = 15 (b = 5 )",
        "ans": "img src='ch4a2c.jpg', width=\"275\", height=\"125\"",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a2c.jpg",
          "width": "275",
          "height": "125"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Check whether the value given in the brackets is a solution to the given equation or not: <br> (iv) 5b – 5 = 5 (b = 2)",
        "ans": "img src='ch4a2d.jpg', width=\"275\", height=\"125\"",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a2d.jpg",
          "width": "275",
          "height": "125"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Check whether the value given in the brackets is a solution to the given equation or not: <br> (v) 6p – 10 = 30 (p = 6)",
        "ans": "img src='ch4a2e.jpg', width=\"300\", height=\"125\"",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a2e.jpg",
          "width": "300",
          "height": "125"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Check whether the value given in the brackets is a solution to the given equation or not: <br> (vi) 6p – 12 = –12 (p = 0)",
        "ans": "img src='ch4a2f.jpg', width=\"300\", height=\"125\"",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a2f.jpg",
          "width": "300",
          "height": "125"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equation by trial and error method.<br>3b + 5 = 14",
        "ans": "img src='ch4a3a.jpg', width=\"300\", height=\"275\"",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a3a.jpg",
          "width": "300",
          "height": "275"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (i) The sum of two numbers y and 10 is 20.",
        "ans": "(i) y + 10 = 20",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (ii) 8 subtracted from z gives 12.",
        "ans": "(ii) z – 8 = 12",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (iii) 5 times b is 30.",
        "ans": "(iii) 5b = 30",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (iv) One-third of p is 14.",
        "ans": "(iv) p/3 = 14",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (v) The number m divided by 6 gives 36.",
        "ans": "img src='ch4a4a.jpg', width=\"70\", height=\"30\"",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a4a.jpg",
          "width": "70",
          "height": "30"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (vi) If you take 5 from four times x, you get 40.",
        "ans": "(vi) 4x – 5 = 40",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (vii) 10 times z plus 10 gets you 90.",
        "ans": "(vii) 10z + 10 = 90",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (viii) If you take away 7 from two-third of n, you get 25.",
        "ans": "(viii) (2/3) n – 7 = 25",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write equations for the following statements. <br> (ix) If you add 2 to 6 times of x you get 44.",
        "ans": "(ix) 6x + 2 = 44",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write the following equations in statements form: <br> (i) a + 3 = 7",
        "ans": "(i) The sum of a and 3 is 7.",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write the following equations in statements form: <br> (ii) P – 2 = 5",
        "ans": "(ii) 2 subtracted from P gives 5.",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                            ",
        "ans": "(iii) Half of a number x is 4.",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4a5q.jpg",
          "width": "70",
          "height": "30"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write the following equations in statements form: <br> (iv) 3n = 18",
        "ans": "(iv) Three times n is 18.",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                             ",
        "ans": "(v) Two-fifth of a is 3.",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4b5q.jpg",
          "width": "70",
          "height": "30"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write the following equations in statements form: <br> (vi) 3m – 4 = 6",
        "ans": "(vi) 4 subtracted from 3 times m gives 6.",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write the following equations in statements form: <br> (vii) 5b + 1 = 7",
        "ans": "(vii) 1 added to 5 times b gives 7.",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Write the following equations in statements form: <br> (viii) y/4 + 3 = 9",
        "ans": "(viii) 3 added to one-fourth of y gives 9.",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation in the following cases. <br> (i) Vijay says that he has 5 chocolates more than 3 times the chocolates Piyush has. Vijay has 32 chocolates<br>(Take x to be the number of chocolates Piyush has).",
        "ans": "(i) Let ‘x’ be the number of chocolates Piyush has.<br>3 times Piyush’s chocolates = 3x<br>Vijay has 5 more chocolates than 3x<br>∴ Vijay has 3x + 5 chocolates.<br>Total chocolates Vijay has are 32.<br> ∴ Equation is 3x + 5 = 32",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation in the following cases. <br> (ii) Hitesh’s father is 52 years old. He is 6 years older than two times Hitesh’s age.<br>(Take Hitesh’s age to be y years).",
        "ans": "(ii) Let Hitesh’s age be ‘y’ years. Hitesh’s father’s age is 52 which is 6 years more than 2 times Hitesh’s age.<br> (2 times y) + 6 = Hitesh’s father’s age<br>∴ 2y + 6 = 52",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation in the following cases. <br> (iii) The teacher tells the class that the highest marks obtained by a student in her class is thrice the lowest marks plus 2. The highest score is 85.<br>(Take the lowest score to be b.)",
        "ans": "(iii) Let lowest marks be ‘b’<br> Thrice of lowest marks = 3b<br>Highest marks are thrice the lowest marks + 2 which is 85.<br>∴ 3b + 2 = 85",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation in the following cases. <br> (iv) Rakesh has 2 marbles more than 2 times the marble Parth has. Rakesh has 20 marbles.<br>(Take p to be number of Parth’s marble)",
        "ans": "(iv) Let ‘x’ be the number of marbles Parth has.<br>2 times Parth’s marble = 2x<br>Rakesh has 2 more marbles than 2x<br>∴ Rakesh has 2x + 2 marbles.<br>Total marbles Rakesh has 20<br>∴ equation is 2x + 2 = 20",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(i) x + 2 = 1",
        "ans": "(i) First step is to subtract 2 from both the sides<br>x + 2 – 2 = 1 – 2<br>∴ x = –1 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(ii) x + 4 = 0",
        "ans": "(ii) First step is to subtract 4 from both the sides<br>x + 4 – 4 = 0 – 4<br>∴ x = –4 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(iii) x – 3 = 3",
        "ans": "(iii) First step is to add 3 on both the sides<br>x – 3 + 3 = 3 + 3<br>∴ x = 6 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 32,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(vi) a + 5 = 2",
        "ans": "(iv) First step is to subtract 5 from both the sides<br>a + 5 – 5 = 2 – 5<br>∴ a = –3 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 33,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(v) a – 7 = 8",
        "ans": "(v) First step is to add 7 on both the sides<br>a – 7 + 7 = 8 + 7<br>∴ a = 15 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 34,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(vi) a + 7 = 8",
        "ans": "(vi) First step is to subtract 7 from both the sides<br>a + 7 – 7 = 8 – 7<br>∴ a = 1 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 35,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(vii) m – 3 = –1",
        "ans": "(vii) First step is to add 3 on both the sides<br>m – 3 + 3 = –1 + 3<br>∴ m = 2 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 36,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(viii) m + 3 = 1",
        "ans": "(viii) First step is to subtract 3 from both the sides<br>m + 3 – 3 = 1 – 3<br>∴ m = –2 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 37,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first the step you will take to separate the variable and then solve the equation<br>(ix) m + 5 = 9",
        "ans": "(ix) First step is to subtract 5 from both the sides<br>m + 5 – 5 = 9 – 5<br>∴ m = 4 is the solution",
        "code": "AFQ",
        "options": null,
        "val": 38,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(i) 2x = 12",
        "ans": "img src='ch4a7a.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 39,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7a.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(ii) a/3 = 4",
        "ans": "img src='ch4a7b.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 40,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7b.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(iii) 5m = 35",
        "ans": "img src='ch4a7c.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 41,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7c.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(iv) 6y = 42",
        "ans": "img src='ch4a7d.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 42,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7d.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(v) n/2 = 6/5",
        "ans": "img src='ch4a7e.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 43,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7e.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(vi) p/4 = 2/3",
        "ans": "img src='ch4a7f.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 44,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7f.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(vii) 8b = –24",
        "ans": "img src='ch4a7g.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 45,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7g.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(viii) 10c = 80",
        "ans": "img src='ch4a7h.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 46,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7h.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give first step you will use to separate the variable and then solve the equation<br>(ix) k/7 = 1",
        "ans": "img src='ch4a7i.jpg', width=\"250\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 47,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a7i.jpg",
          "width": "250",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give the steps you will use to separate the variable and then solve the equation<br>(i) 2a + 3 = 27",
        "ans": "img src='ch4a8a.jpg', width=\"250\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 48,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a8a.jpg",
          "width": "250",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give the steps you will use to separate the variable and then solve the equation<br>(ii) 4b – 4 = 20",
        "ans": "img src='ch4a8b.jpg', width=\"250\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 49,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a8b.jpg",
          "width": "250",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Give the steps you will use to separate the variable and then solve the equation<br>(iii) 10m/3 = 30",
        "ans": "img src='ch4a8c.jpg', width=\"250\", height=\"190\"",
        "code": "AFQ",
        "options": null,
        "val": 50,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a8c.jpg",
          "width": "250",
          "height": "190"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                              ",
        "ans": "img src='ch4a8d.jpg', width=\"250\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 51,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4a8q.jpg",
          "width": "100",
          "height": "40"
        },
        "ansimg": {
          "image": "ch4a8d.jpg",
          "width": "250",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(i) 6a = 36",
        "ans": "img src='ch4a9a.jpg', width=\"100\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 52,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9a.jpg",
          "width": "100",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(ii) 5b + 5 = 25",
        "ans": "img src='ch4a9b.jpg', width=\"150\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 53,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9b.jpg",
          "width": "150",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(iii) m/4 = 6",
        "ans": "img src='ch4a9c.jpg', width=\"110\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 54,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9c.jpg",
          "width": "110",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(iv) –m/6 = 2",
        "ans": "img src='ch4a9d.jpg', width=\"110\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 55,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9d.jpg",
          "width": "110",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                               ",
        "ans": "img src='ch4a9e.jpg', width=\"110\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 56,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4a9q.jpg",
          "width": "100",
          "height": "40"
        },
        "ansimg": {
          "image": "ch4a9e.jpg",
          "width": "110",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(vi) 5k = –15",
        "ans": "img src='ch4a9f.jpg', width=\"100\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 57,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9f.jpg",
          "width": "100",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(vii) 7a + 35 = 0",
        "ans": "img src='ch4a9g.jpg', width=\"150\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 58,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9g.jpg",
          "width": "150",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(viii) 10b = 0",
        "ans": "img src='ch4a9h.jpg', width=\"100\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 59,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9h.jpg",
          "width": "100",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(ix) 2q – 8 = 0",
        "ans": "img src='ch4a9i.jpg', width=\"130\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 60,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9i.jpg",
          "width": "130",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(x) 4r = 16",
        "ans": "img src='ch4a9j.jpg', width=\"90\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 61,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9j.jpg",
          "width": "90",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(xi) 3c – 6 = 0",
        "ans": "img src='ch4a9k.jpg', width=\"130\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 62,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9k.jpg",
          "width": "130",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(xii) 3c + 6 = 15",
        "ans": "img src='ch4a9l.jpg', width=\"140\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 63,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a9l.jpg",
          "width": "140",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                ",
        "ans": "img src='ch4a10a.jpg', width=\"170\", height=\"225\"",
        "code": "AFQ",
        "options": null,
        "val": 64,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4a10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10a.jpg",
          "width": "170",
          "height": "225"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br> (ii) 3y + 10 = 32",
        "ans": "img src='ch4a10b.jpg', width=\"170\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 65,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a10b.jpg",
          "width": "170",
          "height": "170"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                 ",
        "ans": "img src='ch4a10c.jpg', width=\"180\", height=\"190\"",
        "code": "AFQ",
        "options": null,
        "val": 66,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4b10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10c.jpg",
          "width": "180",
          "height": "190"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                  ",
        "ans": "img src='ch4a10d.jpg', width=\"180\", height=\"190\"",
        "code": "AFQ",
        "options": null,
        "val": 67,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4d10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10d.jpg",
          "width": "180",
          "height": "190"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                   ",
        "ans": "img src='ch4a10e.jpg', width=\"180\", height=\"240\"",
        "code": "AFQ",
        "options": null,
        "val": 68,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4e10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10e.jpg",
          "width": "180",
          "height": "240"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                    ",
        "ans": "img src='ch4a10f.jpg', width=\"180\", height=\"190\"",
        "code": "AFQ",
        "options": null,
        "val": 69,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4f10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10f.jpg",
          "width": "180",
          "height": "190"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                     ",
        "ans": "img src='ch4a10g.jpg', width=\"180\", height=\"230\"",
        "code": "AFQ",
        "options": null,
        "val": 70,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4g10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10g.jpg",
          "width": "180",
          "height": "230"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                      ",
        "ans": "img src='ch4a10h.jpg', width=\"180\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 71,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4h10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10h.jpg",
          "width": "180",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                       ",
        "ans": "img src='ch4a10i.jpg', width=\"180\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 72,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4i10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10i.jpg",
          "width": "180",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                        ",
        "ans": "img src='ch4a10j.jpg', width=\"220\", height=\"230\"",
        "code": "AFQ",
        "options": null,
        "val": 73,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch4j10q.jpg",
          "width": "170",
          "height": "50"
        },
        "ansimg": {
          "image": "ch4a10j.jpg",
          "width": "220",
          "height": "230"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(i) 3 (a + 3 ) = 15",
        "ans": "img src='ch4a11a.jpg', width=\"220\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 74,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a11a.jpg",
          "width": "220",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(ii) 2 (m – 2) = 18",
        "ans": "img src='ch4a11b.jpg', width=\"220\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 75,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a11b.jpg",
          "width": "220",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(iii) –5 (p + 7 )= 25",
        "ans": "img src='ch4a11c.jpg', width=\"220\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 76,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a11c.jpg",
          "width": "220",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(iv) 4 (q – 6)= –20",
        "ans": "img src='ch4a11d.jpg', width=\"220\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 77,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a11d.jpg",
          "width": "220",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(v) 7 (5 – m ) = 21",
        "ans": "img src='ch4a11e.jpg', width=\"220\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 78,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a11e.jpg",
          "width": "220",
          "height": "170"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(i) 2 = 3 (a – 1)",
        "ans": "img src='ch4a12a.jpg', width=\"220\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 79,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a12a.jpg",
          "width": "220",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(ii) –2 = 3 (a – 1)",
        "ans": "img src='ch4a12b.jpg', width=\"220\", height=\"210\"",
        "code": "AFQ",
        "options": null,
        "val": 80,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a12b.jpg",
          "width": "220",
          "height": "210"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(iii) 28 = 3 + 5 (m + 3)",
        "ans": "img src='ch4a12c.jpg', width=\"220\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 81,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a12c.jpg",
          "width": "220",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(iv) 6 + 3 (n – 1) = 36",
        "ans": "img src='ch4a12d.jpg', width=\"220\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 82,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a12d.jpg",
          "width": "220",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following equations:<br>(v) 0 = 14 + 7 (b + 4 )",
        "ans": "img src='ch4a12e.jpg', width=\"220\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 83,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a12e.jpg",
          "width": "220",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "(a) Construct three equations starting with x = 3.",
        "ans": "(a)<br> (i) x = 3<br>∴ 2x = 6 (Multiply both sides by 2)<br>∴ 2x + 3 = 9 (Add 3 on both the sides)<br>(ii) x = 3<br>∴ 3x = 9 (Multiply both sides by 3)<br>∴ 3x +2 = 11 (Add 2 on both the sides)<br><br>(iii) x = 3<br>∴ 5x = 15 (Multiply both sides by 5)<br>5x + 2 = 17 (Add 2 on both the sides)",
        "code": "AFQ",
        "options": null,
        "val": 84,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "(b) Construct three equations starting with x = –3.",
        "ans": "(b)<br> (i) x = –3<br>∴ 2x = –6 (Multiply both sides by 2)<br>∴ 2x +3 = –3 (Add 3 on both the sides)<br>(ii) x = –3<br>∴ 3x =–9 (Multiply both sides by 3)<br>∴ 3x +10 =1 (Add 10 on both the sides)<br>(iii) x = –3<br>4x = –12 (Multiply both sides by 4)<br>4x +15 = 3 (Add 15 on both the sides)",
        "code": "AFQ",
        "options": null,
        "val": 85,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up equations and solve them to find the unknown number in the following cases.<br>(i) Add 2 to 5 times a number, you get 32",
        "ans": "img src='ch4a13a.jpg', width=\"230\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 86,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a13a.jpg",
          "width": "230",
          "height": "170"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up equations and solve them to find the unknown number in the following cases.<br>(ii) One-third of number minus 3 gives 8",
        "ans": "img src='ch4a13b.jpg', width=\"280\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 87,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a13b.jpg",
          "width": "280",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up equations and solve them to find the unknown number in the following cases.<br>((iii) If I take two-third of a number and add 4 to it, I get 18",
        "ans": "img src='ch4a13c.jpg', width=\"280\", height=\"275\"",
        "code": "AFQ",
        "options": null,
        "val": 88,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a13c.jpg",
          "width": "280",
          "height": "275"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up equations and solve them to find the unknown number in the following cases.<br>(iv) When I subtracted 9 from thrice a number, the result was 15.",
        "ans": "img src='ch4a13d.jpg', width=\"240\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 89,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a13d.jpg",
          "width": "240",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up equations and solve them to find the unknown number in the following cases.<br>(v) Aryan subtracts four times the number of note books he has from 60, he finds the result to be 24",
        "ans": "img src='ch4a13e.jpg', width=\"270\", height=\"210\"",
        "code": "AFQ",
        "options": null,
        "val": 90,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a13e.jpg",
          "width": "270",
          "height": "210"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up equations and solve them to find the unknown number in the following cases.<br>(vi) Roy thinks of a number and adds 10 to it. Now he divides the sum by 7 and gets 5 as an answer",
        "ans": "img src='ch4a13f.jpg', width=\"270\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 91,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a13f.jpg",
          "width": "270",
          "height": "200"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up equations and solve them to find the unknown number in the following cases.<br>(vii) Tarun thinks of a number. If he takes away 4 from 2/5 of the number, the result is 14",
        "ans": "img src='ch4a13g.jpg', width=\"270\", height=\"280\"",
        "code": "AFQ",
        "options": null,
        "val": 92,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a13g.jpg",
          "width": "270",
          "height": "280"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>(i) The teacher tells the class that the highest marks obtained by a student in her class is thrice the lowest mark minus 5. The highest score is 82. What is the lowest score?",
        "ans": "img src='ch4a14a.jpg', width=\"320\", height=\"230\"",
        "code": "AFQ",
        "options": null,
        "val": 93,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a14a.jpg",
          "width": "320",
          "height": "230"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>(ii) In an isosceles triangle, the base angles are equal. The vertex angle is 60°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°.)",
        "ans": "img src='ch4a14b.jpg', width=\"450\", height=\"260\"",
        "code": "AFQ",
        "options": null,
        "val": 94,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a14b.jpg",
          "width": "450",
          "height": "260"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>(iii) Virat scored thrice as many runs as Rishabh. Together, their runs fell four runs short of a double century. How many runs did each one score?",
        "ans": "img src='ch4a14c.jpg', width=\"450\", height=\"260\"",
        "code": "AFQ",
        "options": null,
        "val": 95,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a14c.jpg",
          "width": "450",
          "height": "260"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>(i) Kartik says that he has 5 chocolates more than four times the chocolates Anup has. Kartik has 57 chocolates. How many chocolates does Anup have?",
        "ans": "img src='ch4a14d.jpg', width=\"410\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 96,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a14d.jpg",
          "width": "410",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>(ii) Viraj’s father is 52 years old. He is 2 years older than five times Viraj’s age. What is Viraj’s age?",
        "ans": "img src='ch4a14e.jpg', width=\"260\", height=\"240\"",
        "code": "AFQ",
        "options": null,
        "val": 97,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a14e.jpg",
          "width": "260",
          "height": "240"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>(iii) A farmer planted trees in his field. Some of the trees were fruit trees. The number of non-fruit trees were three more than two times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 45?",
        "ans": "img src='ch4a14f.jpg', width=\"300\", height=\"240\"",
        "code": "AFQ",
        "options": null,
        "val": 98,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a14f.jpg",
          "width": "300",
          "height": "240"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation for each of the following statements:<br>Three times a number increased by 6 equals 12.",
        "ans": "Let the number be x<br>So, 3 times the number = 3x<br>On adding 6 to it, we get 3x + 6<br>3x + 6 = 12 is the required equation.",
        "code": "AFQ",
        "options": null,
        "val": 99,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation for each of the following statements:<br>One-fourth of a number is subtracted from 15 which gives 5 as a result.",
        "ans": "img src='ch4a18a.jpg', width=\"230\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 100,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a18a.jpg",
          "width": "230",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation for each of the following statements:<br>8 times a number is 9 less than 12 times the same number.",
        "ans": "Let the number be x<br>8 times the number is 8x<br>8x is 9 less than 12x<br>∴ 8x + 9 = 12x is the required equation or 4x = 9 is the required equation.",
        "code": "AFQ",
        "options": null,
        "val": 101,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation for each of the following statements:<br>Subtracting 7 from q, the result is 4.",
        "ans": "q – 7 =4",
        "code": "AFQ",
        "options": null,
        "val": 102,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Set up an equation for each of the following statements:<br>Subtracting 7 from q, the result is 4.",
        "ans": "img src='ch4a19a.jpg', width=\"230\", height=\"110\"",
        "code": "AFQ",
        "options": null,
        "val": 103,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a19a.jpg",
          "width": "230",
          "height": "110"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>A number which is 7 more than one-third of itself.",
        "ans": "img src='ch4a20a.jpg', width=\"250\", height=\"270\"",
        "code": "AFQ",
        "options": null,
        "val": 104,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a20a.jpg",
          "width": "250",
          "height": "270"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>A number exceeds the other number by 10. If their sum is 80, find the number.",
        "ans": "img src='ch4a21a.jpg', width=\"260\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 105,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a21a.jpg",
          "width": "260",
          "height": "200"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>The age of Mohanlal is three times that of his son. If the difference of their ages is 32 years. Find the age of his son.",
        "ans": "img src='ch4a22a.jpg', width=\"220\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 106,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a22a.jpg",
          "width": "220",
          "height": "200"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>After 18 years, Yash will be 4 times as old as he is now. Find his present age.",
        "ans": "img src='ch4a23a.jpg', width=\"240\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 107,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a23a.jpg",
          "width": "240",
          "height": "170"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>A man travelled two-fifth of his journey by train, one-third by bus, one-fourth by car and the remaining 3 km by foot. What is the total length of his journey?",
        "ans": "img src='ch4a24a.jpg', width=\"250\", height=\"330\"",
        "code": "AFQ",
        "options": null,
        "val": 108,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch4a24a.jpg",
          "width": "250",
          "height": "330"
        }
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "mcq": "ch4_mcq",
  "grade": "Grade 7",
  "co": "ch4_co",
  "fib": "ch4_fib",
  "mtf": "ch4_mtf",
  "saq": "ch4_saq",
  "vsaq": "ch4_vsaq",
  "laq": "ch4_laq",
  "tf": "ch4_tf",
  "nf": "ch4_nf",
  "yn": "ch4_yn",
  "afq": "ch4_afq",
  "pbq": "ch4_pbq",
  "gowf": "ch4_gowf",
  "afow": "ch4_afow",
  "cs": "ch4_cs",
  "ctco": "ch4_ctco",
  "map": "ch4_map",
  "dtf": "ch4_dtf",
  "grf": "ch4_grf",
  "snc": "ch4_snc",
  "jtf": "ch4_jtf",
  "ctt": "ch4_ctt",
  "un": "ch4_un"
},
{
  "subject": "Math",
  "chapter": "ch5",
  "chapterName": "Chapter 5 - Lines and Angles",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the complementary angle of 90º?",
        "ans": "(d) 0º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 90º",
          "(b) 60º",
          "(c) 70º",
          "(d) 0º"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is an example of linear pair?",
        "ans": "(b) Vegetable chopping board",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Closed book",
          "(b) Vegetable chopping board",
          "(c) Newspaper",
          "(d) None"
        ],
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is not the property of adjacent angle?",
        "ans": "(c) Both angles are always same.",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) They have a common vertex.",
          "(b) They have a common arm.",
          "(c) Both angles are always same.",
          "(d) Non-common arms are on either side of common arm."
        ],
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the supplementary angle of 75º?",
        "ans": "(c) 105º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 15º",
          "(b) 35º",
          "(c) 105º",
          "(d) 115º"
        ],
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If two parallel lines are cut by a transversal, each pair of alternate interior angles are",
        "ans": "(b) Same",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Different",
          "(b) Same",
          "(c) Unique",
          "(d) Zero"
        ],
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If ∠A and ∠C form a pair of corresponding angles and ∠C measures 90°, what will be the measure of ∠A?",
        "ans": "(a) 90º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 90º",
          "(b) 60º",
          "(c) 180º",
          "(d) 45º"
        ],
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The sum of pair of consecutive interior angles is",
        "ans": "(b) 180º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 90º",
          "(b) 180º",
          "(c) 270º",
          "(d) 60º"
        ],
        "val": 7
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Pair of interior angles on same side of the transversal are",
        "ans": "(d) Supplementary",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Complementary",
          "(b) Equal",
          "(c) Half",
          "(d) Supplementary"
        ],
        "val": 8
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is not the property of alternate interior angle?",
        "ans": "(c) Have sum of 180º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) Have different vertices",
          "(b) Lies between two lines",
          "(c) Have sum of 180º",
          "(d) Are on opposite side of transversal"
        ],
        "val": 9
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The measure of an angle which is five times its supplement is",
        "ans": "(d) 150º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 30º",
          "(b) 60º",
          "(c) 120º",
          "(d) 150º"
        ],
        "val": 10
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The difference of two complementary angles is 80º. Then, the angles are",
        "ans": "(c) 85º, 5º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 90º, 10º",
          "(b) 100º, 80º",
          "(c) 85º, 5º",
          "(d) 180º, 100º"
        ],
        "val": 11
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "In a diagram, ∠x and ∠y are vertically opposite angles. If ∠y=60º then what will be the value of ∠x?",
        "ans": "(a) 60º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 60º",
          "(b) 30º",
          "(c) 120º",
          "(d) 90º"
        ],
        "val": 12
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If a and b are two angles, and 5a + b = 180. Also, ∠b = 30º then what will be the value of ∠a?",
        "ans": "(b) 30º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 60º",
          "(b) 30º",
          "(c) 90º",
          "(d) 150º"
        ],
        "val": 13
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                         ",
        "ans": "(d) 20º",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 10º",
          "(b) 30º",
          "(c) 40º",
          "(d) 20º"
        ],
		"pic": {
          "image": "ch5a1q.jpg",
          "width": "290",
          "height": "85"
        },
        "val": 14
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "The sum of two angles is 90º in complementary angles.",
        "ans": "True",
        "code": "TF",
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "The complementary angle of 79º is 21º.",
        "ans": "False",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "∠A = 125º and ∠B is 55º, then ∠A and ∠B form supplementary angles.",
        "ans": "True",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "Adjacent angles have common vertex and common arm.",
        "ans": "True",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "An open book is an example of linear pair.",
        "ans": "False",
        "code": "TF",
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "The sum of an angle and its supplement is 90°.",
        "ans": "False",
        "code": "TF",
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "The sum of interior angles on the same side of a transversal with two parallel lines is 180°.",
        "ans": "True",
        "code": "TF",
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "Vertically opposite angles are not equal.",
        "ans": "False",
        "code": "TF",
        "val": 8
      },
      {
        "heading": "State True or False.",
        "qus": "If the sum of two angles is 90°, then they are complementary angles.",
        "ans": "True",
        "code": "TF",
        "val": 9
      },
      {
        "heading": "State True or False.",
        "qus": "A linear pair can never have two acute angles.",
        "ans": "True",
        "code": "TF",
        "val": 10
      },
      {
        "heading": "State True or False.",
        "qus": "Two right angles are complementary to each other.",
        "ans": "False",
        "code": "TF",
        "val": 11
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "A ________ has two end points.",
        "ans": "line segment",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A ________ has no end points.",
        "ans": "line",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The complementary angle of 45° is ________ .",
        "ans": "45°",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A pen stand is an example of ________ pair in our daily life.",
        "ans": "linear",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The sum of two angles is ________ if they are supplementary.",
        "ans": "180°",
        "code": "FIB",
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The common point in two lines where they intersect is known as ________.",
        "ans": "point of intersection",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A line that intersects two or more lines at distinct points is called a ________.",
        "ans": "transversal",
        "code": "FIB",
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Alternate interior angles are on ________ sides of the transversal and lie ________ the two lines..",
        "ans": "opposite, between",
        "code": "FIB",
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "When a transversal cuts two lines such that pairs of corresponding angles are equal, lines have to be ________.",
        "ans": "parallel",
        "code": "FIB",
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The angles forming pair of alternate angles have ________ measure.",
        "ans": "same",
        "code": "FIB",
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Adjacent angles have a common vertex, a common ________ and no-common _____________.",
        "ans": "arm, interior point",
        "code": "FIB",
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "An angle is 25°. Its complementary angle will be ________ .",
        "ans": "65°",
        "code": "FIB",
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The supplement of a right angle will always be a ________ .",
        "ans": "right angle.",
        "code": "FIB",
        "val": 13
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "Find the complement of each of the following angles.<br> (i) 40º",
        "ans": "Sum of two angles is 90º<br>So, 40º + x = 90º<br>∴ x = 90º – 40º<br>∴ x = 50º",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                          ",
        "ans": "49º + x = 90º<br>∴ x = 90º – 49º<br>∴ x = 41º",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a1q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                           ",
        "ans": "25º + x = 90º<br>∴ x = 90º – 25º<br>∴ x = 65º",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b1q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                            ",
        "ans": "Sum of two angles is 180º<br>∴ x + 135º = 180º<br>∴ x = 180º – 135º<br>∴ x = 45º",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a2q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                             ",
        "ans": "Sum of two angles is 180º<br>∴ = x + 95º = 180º<br>∴ x = 85º",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b2q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                              ",
        "ans": "Sum of two angles is 180º<br>x + 60º = 180º<br>∴ x = 180º – 60º<br>∴ x = 120º",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5c2q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Identify which of the following pairs of angles are complementary and which are supplementary.<br>(i) 85°, 95°",
        "ans": "(i) Here, sum of 2 angle is<br>180°, Hence supplementary angles",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Identify which of the following pairs of angles are complementary and which are supplementary.<br>(ii) 25°, 65°",
        "ans": "(ii) Sum of two angles is 90°.<br>They are complementary angles",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Identify which of the following pairs of angles are complementary and which are supplementary.<br>(iii) 9°, 8°",
        "ans": "(iii) They are neither complementary angles nor supplementary angles. 9°, 8° are acute angles.",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Identify which of the following pairs of angles are complementary and which are supplementary.<br>(iv) 45°, 45°",
        "ans": "(iv) Complementary angles",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Identify which of the following pairs of angles are complementary and which are supplementary.<br>(v) 90°, 90°",
        "ans": "(v) Supplementary angles",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Identify which of the following pairs of angles are complementary and which are supplementary.<br>(vi) 70°, 110°",
        "ans": "(vi) Supplementary angles",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the angle which is equal to its complement.",
        "ans": "img src='ch5a3a.jpg', width=\"300\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch5a3a.jpg",
          "width": "300",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                               ",
        "ans": "For both the angles to be complement their sum should always be equal to 90°. If the value of ∠A is increased then the value of ∠B should be decreased in such a way that their sum remains to be 90°.",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a4q.jpg",
          "width": "300",
          "height": "120"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Can two angles be supplementary if both of them are:<br>(i) Right",
        "ans": "Yes. If both the angles are 90º, then they can be supplementary angles",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Can two angles be supplementary if both of them are:<br>(ii) Acute",
        "ans": "No, two acute angles cannot be supplementary angles",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Can two angles be supplementary if both of them are:<br>(iii) Obtuse",
        "ans": "No, if two angles are obtuse, they cannot be supplementary angles",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                ",
        "ans": "(i) No, ∠2 is not adjacent to ∠1.",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a5q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                 ",
        "ans": "(ii) Yes, ∠AOC is adjacent to ∠AOE.",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b5q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                  ",
        "ans": "(iii) Yes, ∠ COE and ∠ EOD form a linear pair.",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5c5q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                   ",
        "ans": "(iv) Yes, ∠DOA and ∠BOD are supplementary.",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5d5q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                    ",
        "ans": "(v) No, ∠5 is not vertically opposite to ∠3.",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5e5q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                     ",
        "ans": "(i) ∠4 and ∠3 form vertically opposite angles",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a6q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                      ",
        "ans": "(ii) ∠1 and ∠4 form a linear pair.",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b6q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                       ",
        "ans": "Here ∠y is vertically opposite to 75°<br>Hence, ∠y = 75°<br>∠z and 75° form a linear pair so their sum is 180°<br>∴ ∠z + 75° = 180°<br>∴ ∠z = 180° – 75° =105°<br>And ∠z is vertically opposite to ∠x<br>∴ ∠x = 105°.",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a7q.jpg",
          "width": "290",
          "height": "70"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                        ",
        "ans": "(i) When parallel lines are intersected by a transversal then pair of corresponding angles formed are equal.",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a8q.jpg",
          "width": "300",
          "height": "120"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                         ",
        "ans": "(ii) When a transversal cuts two lines and pair of alternate interior angles are equal, then the lines intersected by transversal are parallel.",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b8q.jpg",
          "width": "300",
          "height": "120"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                          ",
        "ans": "(iii) When a transversal cuts two lines such that pair of interior angles on the same side of the transversal are supplementary, then the lines are parallel.",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5c8q.jpg",
          "width": "300",
          "height": "120"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                           ",
        "ans": "(i) Pair of corresponding angles are:<br>∠a and ∠e, ∠b and ∠f, ∠d and ∠h , ∠c and ∠g",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a9q.jpg",
          "width": "300",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                            ",
        "ans": "(ii) Pair of alternate interior angles are:<br>∠c and ∠e, ∠b and ∠h.",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b9q.jpg",
          "width": "300",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                             ",
        "ans": "(iii) Vertically opposite angles are<br>∠a and ∠c, ∠b and ∠d, ∠e and ∠g, ∠f and ∠h.",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5c9q.jpg",
          "width": "300",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                              ",
        "ans": "Hence, ∠z is in correspondence to 109°<br>Here ∠z = 109°<br>∠z and ∠q are pair of interior angles on same side of transversal<br>∠q +∠z = 180°<br>∠q = 180° – 109°<br>∴ ∠q = 71°<br>∴ ∠q = ∠p as they are vertically opposite angle<br>∠p = 71°<br>Similarly, ∠w =∠p as they form corresponding angle<br>∠w = 71°<br>∠w = ∠y ∴ ∠y = 71° and ∠z = ∠x, Thus ∠x = 109°",
        "code": "AFQ",
        "options": null,
        "val": 32,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a10q.jpg",
          "width": "300",
          "height": "120"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                               ",
        "ans": "(i) Here, ∠y and ∠m are vertically opposite angles.<br>So, ∠y = ∠m. Thus, ∠m = 95°<br>∠m + ∠x = 180° (Pair of interior angles on the same side)<br>∴ ∠x = 85°",
        "code": "AFQ",
        "options": null,
        "val": 33,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a11q.jpg",
          "width": "320",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                ",
        "ans": "(ii) Here, ∠x and 120° are corresponding angles<br>∴ ∠x = 120°",
        "code": "AFQ",
        "options": null,
        "val": 34,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b11q.jpg",
          "width": "320",
          "height": "150"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                 ",
        "ans": "img src='ch5a12a.jpg', width=\"425\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 35,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a12q.jpg",
          "width": "320",
          "height": "150"
        },
        "ansimg": {
          "image": "ch5a12a.jpg",
          "width": "425",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                  ",
        "ans": "img src='ch5b12q.jpg', width=\"320\", height=\"85\"",
        "code": "AFQ",
        "options": null,
        "val": 36,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5b12q.jpg",
          "width": "320",
          "height": "150"
        },
        "ansimg": {
          "image": "ch5a12b.jpg",
          "width": "425",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                   ",
        "ans": "Here, ∠AFC = 70º, ∠FED = 40º<br>∠FED and ∠AFE form pair of alternate angles<br>∴ ∠FED = ∠AFE<br>∠AFE = 40º<br>Now, ∠AFC + ∠AFE+ ∠EFD = 180º<br>∴ 70º + 40º + ∠EFD = 180º<br>∠EFD = 180º – 110º = 70º",
        "code": "AFQ",
        "options": null,
        "val": 37,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a14q.jpg",
          "width": "425",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                    ",
        "ans": "Here, ∠AOE + ∠EOD + ∠DOB = 180º<br>∴ 50º + ∠EOD + 25º = 180º<br>∴ ∠EOD = 180º − 75º<br>∴ ∠EOD = 105º<br>Now, ∠COF and ∠EOD are vertically opposite angles.<br>∴ ∠COF = 105º",
        "code": "AFQ",
        "options": null,
        "val": 38,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a15q.jpg",
          "width": "425",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                     ",
        "ans": "img src='ch5a16a.jpg', width=\"275\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 39,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a16q.jpg",
          "width": "375",
          "height": "50"
        },
        "ansimg": {
          "image": "ch5a16a.jpg",
          "width": "275",
          "height": "200"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                      ",
        "ans": "img src='ch5a17a.jpg', width=\"200\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 40,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a17q.jpg",
          "width": "380",
          "height": "120"
        },
        "ansimg": {
          "image": "ch5a17a.jpg",
          "width": "200",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                       ",
        "ans": "Here, ∠a and 79º form pair of corresponding angles.<br>Hence, ∠a =79º<br>Similarly ∠b and 79º forms pair of supplementary angles<br>or ∠b and 79º form a linear pair.<br>∴ ∠b + 79º = 180º<br>∴ ∠b = 180º – 79º = 101º<br>Now, 5a + 3b = 5(79º) + 3(101º)<br>= 395º + 303º<br>= 698º",
        "code": "AFQ",
        "options": null,
        "val": 41,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch5a18q.jpg",
          "width": "425",
          "height": "100"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "∠x and ∠y form a linear pair. If ∠x is twice that of ∠y, then find both the angles.",
        "ans": "img src='ch5a18a.jpg', width=\"200\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 42,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch5a18a.jpg",
          "width": "200",
          "height": "200"
        }
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "grade": "Grade 7",
  "co": "ch5_co",
  "fib": "ch5_fib",
  "mtf": "ch5_mtf",
  "mcq": "ch5_mcq",
  "saq": "ch5_saq",
  "vsaq": "ch5_vsaq",
  "laq": "ch5_laq",
  "tf": "ch5_tf",
  "nf": "ch5_nf",
  "yn": "ch5_yn",
  "afq": "ch5_afq",
  "pbq": "ch5_pbq",
  "gowf": "ch5_gowf",
  "afow": "ch5_afow",
  "cs": "ch5_cs",
  "ctco": "ch5_ctco",
  "map": "ch5_map",
  "dtf": "ch5_dtf",
  "grf": "ch5_grf",
  "snc": "ch5_snc",
  "jtf": "ch5_jtf",
  "ctt": "ch5_ctt",
  "un": "ch5_un"
},
{
  "subject": "Math",
  "chapter": "ch6",
  "chapterName": "Chapter 6 - The Triangle and Its Properties",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "In a right-angled triangle, the angles other than the right angle are",
        "ans": "(c) acute",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) obtuse",
          "(b) right",
          "(c) acute",
          "(d) straight"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Lengths of sides of a triangle are 6 cm, 8 cm, 10 cm. The triangle is",
        "ans": "(c) right-angled triangle",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) obtuse-angled triangle",
          "(b) acute-angled triangle",
          "(c) right-angled triangle",
          "(d) an isosceles triangle"
        ],
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "In Δ ABC",
        "ans": "(a) AB + BC > AC",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) AB + BC > AC",
          "(b) AB + BC < AC",
          "(c) AB + AC < BC",
          "(d) AC + BC < AB"
        ],
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If in an isosceles triangle, each of the base angle is 40˚, then the triangle is",
        "ans": "(c) obtuse-angled triangle",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) right-angled triangle",
          "(b) acute-angled triangle",
          "(c) obtuse-angled triangle",
          "(d) isosceles triangle"
        ],
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The perimeter of the rectangle whose length is 60 cm and a diagonal is 61 cm is",
        "ans": "(d) 142 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 120 cm",
          "(b) 122 cm",
          "(c) 71 cm",
          "(d) 142 cm"
        ],
        "val": 5
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "A triangle can have only one median.",
        "ans": "False",
        "code": "TF",
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "A triangle can have three altitudes.",
        "ans": "True",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "All three sides of an equilateral triangle are equal.",
        "ans": "True",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "Altitude and median are same in each triangle.",
        "ans": "False",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "Altitude is the perpendicular bisector of the triangle.",
        "ans": "False",
        "code": "TF",
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "Through each vertex of a triangle a median can be drawn.",
        "ans": "True",
        "code": "TF",
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "All three sides of equilateral triangle are of different length.",
        "ans": "False",
        "code": "TF",
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "Two sides of an isosceles triangles are always equal.",
        "ans": "True",
        "code": "TF",
        "val": 8
      },
      {
        "heading": "State True or False.",
        "qus": "There can be a side in a triangle whose length is less than sum of other two sides.",
        "ans": "False",
        "code": "TF",
        "val": 9
      },
      {
        "heading": "State True or False.",
        "qus": "For Δ ABC, AB + BC < AC.",
        "ans": "False",
        "code": "TF",
        "val": 10
      },
      {
        "heading": "State True or False.",
        "qus": "In a right-angled triangle, sum of squares of two sides is equal to the square of the third side.",
        "ans": "True",
        "code": "TF",
        "val": 11
      },
      {
        "heading": "State True or False.",
        "qus": "Sum of two sides of a triangle is less than or equal to the third side.",
        "ans": "False",
        "code": "TF",
        "val": 12
      },
      {
        "heading": "State True or False.",
        "qus": "Sum of any two angles of a triangle is always greater than the third angle.",
        "ans": "False",
        "code": "TF",
        "val": 13
      },
      {
        "heading": "State True or False.",
        "qus": "It is possible to have a right-angled equilateral triangle.",
        "ans": "False",
        "code": "TF",
        "val": 14
      },
      {
        "heading": "State True or False.",
        "qus": "It is possible to have a triangle in which two angles are acute.",
        "ans": "True",
        "code": "TF",
        "val": 15
      },
      {
        "heading": "State True or False.",
        "qus": "It is possible to have a triangle in which each angle is greater then 60°.",
        "ans": "False",
        "code": "TF",
        "val": 16
      },
      {
        "heading": "State True or False.",
        "qus": "A right-angled triangle may have all sides equal.",
        "ans": "False",
        "code": "TF",
        "val": 17
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "Three sides of a Δ ABC are ________, _________ and _________.",
        "ans": null,
        "code": "FIB",
		"ansimg": {
          "image": "ch6a1a.jpg",
          "width": "80",
          "height": "20"
        },
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Sides opposite to the vertex A of Δ ABC is _________.",
        "ans": null,
        "code": "FIB",
		 "ansimg": {
          "image": "ch6b1a.jpg",
          "width": "30",
          "height": "20"
        },
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A triangle has _________ number of sides.",
        "ans": "3",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A triangle having all three sides different is _________ triangle.",
        "ans": "scalene",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A _________ connects a vertex of a triangle to the midpoint of the opposite side.",
        "ans": "median",
        "code": "FIB",
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                        ",
        "ans": "interior",
        "code": "FIB",
		"pic": {
          "image": "ch6a4q.jpg",
          "width": "350",
          "height": "160"
        },
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "∠ XAB = ∠ __________ + ∠ _________.",
        "ans": "ABC, ACB",
        "code": "FIB",
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "∠ __________ = ∠ BAC + ∠ ACB",
        "ans": "ZBY",
        "code": "FIB",
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "∠ ACZ = ∠ __________ + ∠ __________",
        "ans": "ABC, BAC",
        "code": "FIB",
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The total measure of the three angles is __________ .",
        "ans": "180°",
        "code": "FIB",
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If all angles of a triangle are equal then measure of each angle is __________ .",
        "ans": "60°",
        "code": "FIB",
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If two angles of a triangle are 58° and 72° then the third angle is __________ .",
        "ans": "50°",
        "code": "FIB",
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In Δ PQR, if ∠ P =75°, ∠Q =55° then ∠R = __________ .",
        "ans": "50°",
        "code": "FIB",
        "val": 13
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "A triangle in which two sides are of equal lengths is called an _________ triangle.",
        "ans": "isosceles",
        "code": "FIB",
        "val": 14
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In isosceles triangle base angles opposite to the equal sides are _________ .",
        "ans": "equal",
        "code": "FIB",
        "val": 15
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The sum of the lengths of any _________ sides of a triangle is greater than the third side. (Triangle inequality)",
        "ans": "two",
        "code": "FIB",
        "val": 16
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The lengths of two sides of a triangle are 4 cm and 6 cm, then the length of its third side will be less than _________ and greater than",
        "ans": "10 cm, 2 cm",
        "code": "FIB",
        "val": 17
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The sides opposite to the right angle is called the _________ .",
        "ans": "hypotenuse",
        "code": "FIB",
        "val": 18
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The sides other then hypotenuse are known as _________ .",
        "ans": "legs",
        "code": "FIB",
        "val": 19
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In Δ PQR, right-angled at Q, PQ<sup>2</sup> + QR<sup>2</sup> = _________ .",
        "ans": "PR<sup>2</sup>",
        "code": "FIB",
        "val": 20
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If two sides of a right-angled triangle are 3 cm and 4 cm then its hypotenuse is _________ cm.",
        "ans": "5",
        "code": "FIB",
        "val": 21
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                         ",
        "ans": "5",
        "code": "FIB",
		"pic": {
          "image": "ch6a11q.jpg",
          "width": "220",
          "height": "170"
        },
        "val": 22
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The ________ triangle always has altitude outside itself.",
        "ans": "obtuse",
        "code": "FIB",
        "val": 23
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The sum of an exterior angle of a triangle and its adjacent angle is always ________ .",
        "ans": "180°",
        "code": "FIB",
        "val": 24
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Median is also called ________ in an equilateral triangle.",
        "ans": "an altitude",
        "code": "FIB",
        "val": 25
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In an isosceles triangle, angles opposite to equal sides are ________ .",
        "ans": "equal",
        "code": "FIB",
        "val": 26
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Every triangle has at least ________ acute angle(s).",
        "ans": "two",
        "code": "FIB",
        "val": 27
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                          ",
        "ans": "img src='ch6a2a.jpg', width=\"200\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a2q.jpg",
          "width": "230",
          "height": "50"
        },
        "ansimg": {
          "image": "ch6a2a.jpg",
          "width": "200",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                           ",
        "ans": "img src='ch6a2b.jpg', width=\"100\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6b2q.jpg",
          "width": "300",
          "height": "50"
        },
        "ansimg": {
          "image": "ch6a2b.jpg",
          "width": "100",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                            ",
        "ans": "img src='ch6a2c.jpg', width=\"80\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6c2q.jpg",
          "width": "350",
          "height": "50"
        },
        "ansimg": {
          "image": "ch6a2c.jpg",
          "width": "80",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                             ",
        "ans": "img src='ch6a3a.jpg', width=\"300\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a3q.jpg",
          "width": "220",
          "height": "180"
        },
        "ansimg": {
          "image": "ch6a3a.jpg",
          "width": "300",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                              ",
        "ans": "Exterior angle = Sum of interior opposite angles<br>x = 60° + 60° = 120°",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a5q.jpg",
          "width": "350",
          "height": "110"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                               ",
        "ans": "Exterior angle = Sum of interior opposite angles<br>x = 50° + 55°<br>= 105°",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6b5q.jpg",
          "width": "350",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                ",
        "ans": "x = 40° + 45°<br>= 85°",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6c5q.jpg",
          "width": "350",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                 ",
        "ans": "x = 70° + 30° = 100°",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6d5q.jpg",
          "width": "350",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                  ",
        "ans": "x = 35° + 45°= 80°",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6e5q.jpg",
          "width": "350",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                   ",
        "ans": "x + 30° =100°<br>x = 100° – 30°<br>∴ x = 70°",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a6q.jpg",
          "width": "380",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                    ",
        "ans": "x + 50° =110°<br>∴ x = 110° – 50°<br>∴ x = 60°",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6b6q.jpg",
          "width": "380",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                     ",
        "ans": "x + 20° = 90°<br>∴ x = 90° – 20°<br>∴ x = 70°",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6c6q.jpg",
          "width": "380",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                      ",
        "ans": "x + 90° = 130°<br>∴ x = 130° – 90°<br>∴ x = 40°",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6d6q.jpg",
          "width": "380",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                       ",
        "ans": "In Δ ABC<br>∠A + ∠B + ∠C =180°<br>∴ x + 70° + 40° = 180°<br>∴ x = 180° – 110°<br>∴ x = 70°",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a7q.jpg",
          "width": "380",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                        ",
        "ans": "In Δ ABC<br>∠A + ∠B+∠C =180°<br>∴ 35° + 100° + × =180°<br>∴ 135° + x =180°<br>∴ x = 180° – 135°<br>∴ x = 45°",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6b7q.jpg",
          "width": "380",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                         ",
        "ans": "In Δ PQR<br>∠P +∠Q+∠R =180°<br>∴ 30° + 20° + ∠R =180°<br>∴ ∠R = 180° – 50°<br>∴ ∠R = 130°",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6c7q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                          ",
        "ans": "In Δ MNO<br>∠M +∠N+∠O = 180°<br>∴ 70° + x + x = 180°<br>∴ 70° + 2x = 180°<br>∴ 2x = 180° – 70°<br>∴ 2x = 110°<br>∴ x = 55°",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6d7q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                           ",
        "ans": "In Δ PQR<br>∠P + ∠Q + ∠R =180°<br>∴ 60° + 2x + x=180°<br>∴ 60° + 3x =180°<br>∴ 3x = 180° - 60°<br>3x = 120°<br>∴ x = 40°<br>∴ ∠R =x = 40° and ∠Q = 2x = 2 × 40° = 80°",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6e7q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                            ",
        "ans": "Exterior angle property<br>55° + x =130°<br>∴ x = 130° – 55°<br>∴ x = 75°<br>Now, 55° + x + y =180° [Angle sum property]<br>∴ 55°+75° + y = 180° (∴ x = 75°)<br>∴ 130° + y = 180°<br>∴ y = 180° – 130°<br>∴ y = 50°",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a8q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                             ",
        "ans": "Exterior angle property<br>60° + 40° = x<br>∴ x =100°<br>Now, Angle sum property<br>y + 60° + 40° = 180°<br>∴ y + 100° = 180°<br>∴ y = 180°–100°<br>∴ y = 80°",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6b8q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                              ",
        "ans": "Here, x = 70° [vertically opp angle]<br>x + y + 50° =180° [Angle sum property]<br>∴ 70° + y + 50° =180°<br>∴ y + 120° = 180°<br>∴ y = 60°",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6c8q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                               ",
        "ans": "Here, x = 40° [Vertically opp angles]<br>x + y + 50° =180° [Angle sum property]<br>∴ 40° + y + 50° =180°<br>90° + y = 180°<br>∴ y = 180° – 90°<br>∴ y = 90°",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6d8q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                ",
        "ans": "Here, x = 80° [vertically opp angles]<br>x + y + y = 180° [Angle sum property]<br>80° + 2y = 180°<br>∴ 2y = 180° – 80°<br>∴ 2y = 100°<br>∴ y = 50°",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6e8q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Is it possible to have a triangle with the following sides?<br>(i) 4 cm, 5cm, 7cm",
        "ans": "4 + 5 > 7 Yes<br>4 + 7 > 5 Yes<br>5 + 7 > 4 Yes<br>∴ This triangle is possible.",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Is it possible to have a triangle with the following sides?<br>(ii) 6 cm, 8 cm, 5 cm",
        "ans": "6 + 8 > 5 Yes<br>6 + 5 > 8 Yes<br>8 + 5 > 6 Yes<br>∴ This triangle is possible.",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Is it possible to have a triangle with the following sides?<br>(iii) 3 cm, 4 cm, 7 cm",
        "ans": "3 + 4 > 7 No<br>4 + 7 > 3 Yes<br>3 + 7 > 4 Yes<br>∴ This triangle is not possible",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                 ",
        "ans": "(i) Yes, AMB form a triangle",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a9q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                  ",
        "ans": "(ii) Yes, MBC form a triangle",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6b9q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                   ",
        "ans": "(iii) Yes, AMC form a triangle",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6c9q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                    ",
        "ans": "For Δ PQT<br>PQ + QT > PT ---- (i)<br>For Δ PTR<br>PR + TR > PT ---- (ii)<br>For (i) and (ii)<br>PQ + QT + PR + TR > PT + PT<br>∴ PQ + PR + (QT + TR) >2PT<br>∴ PQ + PR + QR > 2PT (∴ QT + TR = QR)<br>Hence proved.",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a10q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "ABC is a triangle, right-angled at B. If AB = 20 cm and BC = 21 cm, find AC.",
        "ans": "Given AB = 20 cm and BC = 21 cm<br>For a given right angled Δ ABC<br>AB<sup>2</sup> + BC<sup>2</sup> = AC<sup>2</sup> [Pythagoras Property]<br>(20)<sup>2</sup> + (21)<sup>2</sup> = AC<sup>2</sup><br>∴ 400 + 441 = AC<sup>2</sup><br>∴ AC<sup>2</sup> = 841<br> ∴ AC = √841<br>∴ AC = 29 cm",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      
      {
        "heading": "Answer the following questions.",
        "qus": "PQR is a triangle, right-angled at Q. If PQ = 65 cm and PR = 97 cm, find QR.",
        "ans": "For a given right angle Δ PQR<br>PQ<sup>2</sup> + QR<sup>2</sup> = PR<sup>2<sup><br>∴ (65)<sup>2</sup> + QR<sup>2</sup> = (97)<sup>2</sup><br>∴ QR<sup>2</sup> = (97)<sup>2</sup> – (65)<sup>2</sup><br>∴ QR<sup>2</sup> = 9409 – 4225<br>∴ QR<sup>2</sup> = 5184<br>∴ QR = √5184<br>∴ QR = 72 cm",
        "code": "AFQ",
        "options": null,
        "val": 33,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                     ",
        "ans": "Let AC be the ladder and A be the window<br>Given AC = 17 m, AB = 8 m, BC = a m<br>In right triangle ABC,<br>(Hypotenuse)<sup>2</sup> = (Base)<sup>2</sup> + (Perpendicular)<sup>2</sup><br>(AC)<sup>2</sup> = (BC)<sup>2</sup> + (AB)<sup>2</sup><br>∴ (17)<sup>2</sup> = a<sup>2</sup> + (8)<sup>2</sup><br>∴ 289 = a<sup>2</sup> + 64<br>∴ a<sup>2</sup> = 289 – 64<br>∴ a<sup>2</sup> = 225<br>∴ a = 15 m",
        "code": "AFQ",
        "options": null,
        "val": 34,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a12q.jpg",
          "width": "380",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Which of the following can be the sides of a right-angled triangle?<br>(i) 21 cm, 72 cm, 75 cm",
        "ans": "21 cm, 72 cm, 75 cm<br>For a right triangle ΔABC<br>AB = 21 cm, BC = 72 cm, AC =75 cm<br>AC<sup>2</sup> = AB<sup>2</sup> + BC<sup>2</sup><br>L.H.S. = AC<sup>2</sup> = (75)<sup>2</sup> = 5625<br>R.H.S. = AB<sup>2</sup> + BC<sup>2</sup> = (21)<sup>2</sup> + (72)<sup>2</sup><br>= 441 + 5184 = 5625<br>∴ L.H.S. = R.H.S.<br>Therefore, the given sides are of the right-angled triangle.",
        "code": "AFQ",
        "options": null,
        "val": 35,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Which of the following can be the sides of a right-angled triangle?<br>(ii) 33 cm, 56 cm, 66 cm",
        "ans": "33 cm, 56 cm, 66 cm<br>For a right-angled triangle Δ ABC,<br>AB = 33 cm, BC = 56 cm, AC = 66 cm<br>L.H.S. = AC2 = (66)2 = 4356<br>R.H.S. =AB2 + BC2 = (33)2 + (56)2 = 1089 + 3136 = 4225 cm<br>L.H.S. ≠ R.H.S<br>Therefore, the given sides are not of a right-angled triangle",
        "code": "AFQ",
        "options": null,
        "val": 36,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Which of the following can be the sides of a right-angled triangle?<br>(iii) 16 cm, 63 cm, 65 cm",
        "ans": "16 cm, 63 cm, 65 cm<br>For a right-angled triangle Δ ABC<br>AB = 16 cm, BC = 63 cm, AC = 65 cm<br>AB<sup>2</sup> + BC<sup>2</sup> = AC<sup>2</sup><br>L.H.S. = AB<sup>2</sup> + BC<sup>2</sup> = (16)<sup>2</sup> + (63)<sup>2</sup><br>= 256 + 3969 = 4225<br>= R.H.S. = AC<sup>2</sup><br>= (65)<sup>2</sup> = 4225<br>L.H.S. = R.H.S<br>Therefore, the sides of the given triangle are of right-angled triangle.",
        "code": "AFQ",
        "options": null,
        "val": 37,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A tree is broken at a height of 12 m from the ground and its top touches the ground at a distance of 35 m from the base of the tree. Find the original height of the tree.",
        "ans": "img src='ch6a13a.jpg', width=\"380\", height=\"370\"",
        "code": "AFQ",
        "options": null,
        "val": 38,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch6a13a.jpg",
          "width": "380",
          "height": "370"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                      ",
        "ans": "Given diagonal AC = 65 cm, length (BC) = 63 cm<br>Let breadth = x cm. Now, in right-angled Δ ABC,<br>AC<sup>2</sup> = AB<sup>2</sup> + BC<sup>2</sup><br>∴ (65)<sup>2</sup> = x<sup>2</sup> + (63)<sup>2</sup><br>∴ 4225 = x<sup>2</sup> + 3969<br>∴ x<sup>2</sup> = 4225 − 3969<br>∴ x<sup>2</sup> = 256<br>∴ x = √256<br>x = 16 cm<br>Therefore, the breadth of rectangle is 16 cm<br>Perimeter of rectangle = 2 (length + breadth)<br>= 2 (63 + 16)<br>= 2 × 79<br>= 158 cm",
        "code": "AFQ",
        "options": null,
        "val": 39,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a14q.jpg",
          "width": "380",
          "height": "200"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch6a15a.jpg', width=\"380\", height=\"300\"",
        "code": "AFQ",
        "options": null,
        "val": 40,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a15q.jpg",
          "width": "380",
          "height": "200"
        },
        "ansimg": {
          "image": "ch6a15a.jpg",
          "width": "380",
          "height": "300"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Solve the following:<br>The measure of three angles of a triangle are in the ratio 3:2:1. Find the measure of these angles.",
        "ans": "img src='ch6a16a.jpg', width=\"380\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 41,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch6a16a.jpg",
          "width": "380",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                        ",
        "ans": "We know that sum of all three angles in a triangle is equal to 180°<br>∴ x+40°+90° = 180°<br>∴ x+130° = 180°<br>∴ x = 180° – 130°<br>∴x = 50°",
        "code": "AFQ",
        "options": null,
        "val": 42,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch6a17q.jpg",
          "width": "220",
          "height": "220"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In Δ XYZ, the measure of ∠x is 30° greater than the measure of ∠y and ∠z is a right angle. Find measure of ∠y.",
        "ans": "∠x =∠y + 30°<br>∠z =90°<br>Sum of all three angles in a triangle is equal to 180°<br>∠x+∠y+∠z = 180°<br>∴ ∠y + 30° + ∠y + 90° = 180°<br>∴ 2∠y + 120° = 180°<br>∴ 2∠y = 60 ∴ ∠y = 30°",
        "code": "AFQ",
        "options": null,
        "val": 43,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In a Δ ABC, the measure of an ∠A is 40° less than the measure of other ∠B. ∠A is 50° less than that of ∠C. Find the measure of ∠A.",
        "ans": "img src='ch6a18a.jpg', width=\"230\", height=\"300\"",
        "code": "AFQ",
        "options": null,
        "val": 44,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch6a18a.jpg",
          "width": "230",
          "height": "300"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Rohan walks 3 km due east and then 4 km due north. How far is he from his starting place?",
        "ans": "img src='ch6a19a.jpg', width=\"300\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 45,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch6a19a.jpg",
          "width": "300",
          "height": "220"
        }
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "grade": "Grade 7",
  "co": "ch6_co",
  "fib": "ch6_fib",
  "mtf": "ch6_mtf",
  "mcq": "ch6_mcq",
  "saq": "ch6_saq",
  "vsaq": "ch6_vsaq",
  "laq": "ch6_laq",
  "tf": "ch6_tf",
  "nf": "ch6_nf",
  "yn": "ch6_yn",
  "afq": "ch6_afq",
  "pbq": "ch6_pbq",
  "gowf": "ch6_gowf",
  "afow": "ch6_afow",
  "cs": "ch6_cs",
  "ctco": "ch6_ctco",
  "map": "ch6_map",
  "dtf": "ch6_dtf",
  "grf": "ch6_grf",
  "snc": "ch6_snc",
  "jtf": "ch6_jtf",
  "ctt": "ch6_ctt",
  "un": "ch6_un"
},
{
  "subject": "Math",
  "chapter": "ch7",
  "chapterName": "Chapter 7 - Congruence of Triangles",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                         ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch7o121q.jpg",
          "ch7o221q.jpg",
          "ch7o321q.jpg",
          "ch7o421q.jpg"
        ],
		"pic": {
          "image": "ch7a21q.jpg",
          "width": "430",
          "height": "40"
        },
        "ansimg": {
          "image": "ch7o321q.jpg",
          "width": "50",
          "height": "20"
        },
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                          ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch7o2a21q.jpg",
          "ch7o2b21q.jpg",
          "ch7o2c21q.jpg",
          "ch7o2d21q.jpg"
        ],
		"pic": {
          "image": "ch7b21q.jpg",
          "width": "430",
          "height": "40"
        },
        "ansimg": {
          "image": "ch7o2a21q.jpg",
          "width": "60",
          "height": "20"
        },
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If for ΔABC and ΔDEF, the correspondence CAB ↔ EDF gives a congruence, then which of the following is not true?",
        "ans": "(b) AB = EF",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) AC = DE",
          "(b) AB = EF",
          "(c) ∠A = ∠D",
          "(d) ∠C = ∠E"
        ],
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                           ",
        "ans": "(d) 90°",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 60°",
          "(b) 45°",
          "(c) 120°",
          "(d) 90°"
        ],
		"pic": {
          "image": "ch7a45q.jpg",
          "width": "400",
          "height": "20"
        },
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                            ",
        "ans": "(c) SSS",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) RHS",
          "(b) ASA",
          "(c) SSS",
          "(d) SAS"
        ],
		"pic": {
          "image": "ch7a46q.jpg",
          "width": "450",
          "height": "100"
        },
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "By which of the following criterion, the two triangles cannot be proved congruent?",
        "ans": "(a) AAA",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) AAA",
          "(b) SSS",
          "(c) SAS",
          "(d) ASA"
        ],
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                             ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch7o1a47q.jpg",
          "ch7o1b47q.jpg",
          "ch7o1c47q.jpg",
          "ch7o1d47q.jpg"
        ],
		"pic": {
          "image": "ch7a47q.jpg",
          "width": "450",
          "height": "150"
        },
        "ansimg": {
          "image": "ch7o1c47q.jpg",
          "width": "110",
          "height": "20"
        },
        "val": 7
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "If two angles have the same measure, they are congruent.",
        "ans": "True",
        "code": "TF",
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                              ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch7a20q.jpg",
          "width": "290",
          "height": "25"
        },
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "RHS criterion is same as ASA criterion.",
        "ans": "False",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "If three sides of two triangles are equal in order, then triangles are congruent.",
        "ans": "True",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "If the area of two triangles is same, then they are congruent.",
        "ans": "False",
        "code": "TF",
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "In ΔABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ΔPQR, PR = 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ΔABC ↔ ΔPQR",
        "ans": "False, In ΔABC and ΔPQR,<br>AB = PR = 3.5 cm<br>AC = PQ = 5 cm<br>BC = RQ = 6 cm<br>ΔABC ↔ ΔPRQ (SSS congruency)",
        "code": "TF",
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                               ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch7a44q.jpg",
          "width": "400",
          "height": "40"
        },
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "The congruent figures superimpose each other completely.",
        "ans": "True",
        "code": "TF",
        "val": 8
      },
      {
        "heading": "State True or False.",
        "qus": "A one-rupee coin is congruent to ten-rupee coin.",
        "ans": "False, since one-rupee coin and ten-rupee coin are of different size, so they are not congruent.",
        "code": "TF",
        "val": 9
      },
      {
        "heading": "State True or False.",
        "qus": "Two acute angles are congruent.",
        "ans": "False, since two acute angles may vary from 0° to 89°. So, two acute angles of different measures are not congruent.",
        "code": "TF",
        "val": 10
      },
      {
        "heading": "State True or False.",
        "qus": "Two right angles are congruent.",
        "ans": "True",
        "code": "TF",
        "val": 11
      },
      {
        "heading": "State True or False.",
        "qus": "Two figures are congruent if they have the same shape.",
        "ans": "False, since two figures are congruent, if they have the same shape and same size.",
        "code": "TF",
        "val": 12
      },
      {
        "heading": "State True or False.",
        "qus": "If the areas of two rectangles are the same, they are congruent.",
        "ans": "False",
        "code": "TF",
        "val": 13
      },
      {
        "heading": "State True or False.",
        "qus": "If the areas of two squares are the same, they are congruent.",
        "ans": "True",
        "code": "TF",
        "val": 14
      },
      {
        "heading": "State True or False.",
        "qus": "Two circles having the same circumference are congruent.",
        "ans": "True",
        "code": "TF",
        "val": 15
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "The relation of two objects being congruent is called _________.",
        "ans": "congruence",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If two line segments are congruent, they have the _________ length.",
        "ans": "same",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": " _________ is a sign of congruence.",
        "ans": "&#8773;",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Under _________ congruence criterion, if under a given correspondence, the three sides of one triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent.",
        "ans": "SSS",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Under _________ congruence criterion, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle.",
        "ans": "RHS",
        "code": "FIB",
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Two rectangles are congruent if they have same _________ and _________ .",
        "ans": "length, breadth",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Two squares are congruent if they have same _________ .",
        "ans": "side",
        "code": "FIB",
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                ",
        "ans": "PQO",
        "code": "FIB",
		"pic": {
          "image": "ch7a39q.jpg",
          "width": "328",
          "height": "140"
        },
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                 ",
        "ans": "PSR",
        "code": "FIB",
		"pic": {
          "image": "ch7a40q.jpg",
          "width": "328",
          "height": "140"
        },
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                  ",
        "ans": "SR",
        "code": "FIB",
		"pic": {
          "image": "ch7a41q.jpg",
          "width": "328",
          "height": "140"
        },
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                   ",
        "ans": "SRP",
        "code": "FIB",
		"pic": {
          "image": "ch7a42q.jpg",
          "width": "328",
          "height": "140"
        },
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                    ",
        "ans": "∠QPS, ∠QRS",
        "code": "FIB",
		"pic": {
          "image": "ch7a43q.jpg",
          "width": "328",
          "height": "140"
        },
        "val": 12
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "Give any 3 real-life examples for congruent shapes.",
        "ans": "(i) Two pens of the same brand<br>(ii) Sheets of the same letter-pad<br>(iii) Biscuits in the same packet",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "If ΔABC ≅ ΔXYZ under the correspondence ABC↔XYZ, write all the corresponding congruent parts of the triangles.",
        "ans": "img src='ch7a22a.jpg', width=\"400\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch7a22a.jpg",
          "width": "400",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch7a23a.jpg', width=\"90\", height=\"20\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a23q.jpg",
          "width": "350",
          "height": "40"
        },
        "ansimg": {
          "image": "ch7a23a.jpg",
          "width": "90",
          "height": "20"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch7a24a.jpg', width=\"90\", height=\"20\"",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a24q.jpg",
          "width": "350",
          "height": "40"
        },
        "ansimg": {
          "image": "ch7a24a.jpg",
          "width": "90",
          "height": "20"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch7a25a.jpg', width=\"90\", height=\"20\"",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a25q.jpg",
          "width": "350",
          "height": "40"
        },
        "ansimg": {
          "image": "ch7a25a.jpg",
          "width": "90",
          "height": "20"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                        ",
        "ans": "img src='ch7a26a.jpg', width=\"90\", height=\"20\"",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a26q.jpg",
          "width": "350",
          "height": "40"
        },
        "ansimg": {
          "image": "ch7a26a.jpg",
          "width": "90",
          "height": "20"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                         ",
        "ans": "img src='ch7a27a.jpg', width=\"410\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a27q.jpg",
          "width": "310",
          "height": "110"
        },
        "ansimg": {
          "image": "ch7a27a.jpg",
          "width": "410",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                          ",
        "ans": "img src='ch7a28a.jpg', width=\"410\", height=\"40\"",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a28q.jpg",
          "width": "350",
          "height": "110"
        },
        "ansimg": {
          "image": "ch7a28a.jpg",
          "width": "410",
          "height": "40"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                           ",
        "ans": "img src='ch7a29a.jpg', width=\"410\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a29q.jpg",
          "width": "400",
          "height": "110"
        },
        "ansimg": {
          "image": "ch7a29a.jpg",
          "width": "410",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                            ",
        "ans": "img src='ch7a29a.jpg', width=\"410\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a30q.jpg",
          "width": "400",
          "height": "110"
        },
        "ansimg": {
          "image": "ch7a29a.jpg",
          "width": "410",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                             ",
        "ans": "(i) (a) AX = BZ<br>(b) XY = ZP<br>(c) AY = BP",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a31q.jpg",
          "width": "400",
          "height": "220"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                              ",
        "ans": "(ii) (a) XY = ZP<br>(b) PB = YA",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a32q.jpg",
          "width": "400",
          "height": "220"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                               ",
        "ans": "(iii) (a) ∠XAY = ∠ZBP<br>(b) ∠XYA = ∠ZPB",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a33q.jpg",
          "width": "400",
          "height": "220"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                ",
        "ans": "(i) Given",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a34q.jpg",
          "width": "400",
          "height": "110"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                 ",
        "ans": "(i) Given",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7b34q.jpg",
          "width": "400",
          "height": "110"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                  ",
        "ans": "(iii) Common side",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7c34q.jpg",
          "width": "400",
          "height": "110"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                   ",
        "ans": "(iv) By SAS congruency rule",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7d34q.jpg",
          "width": "400",
          "height": "110"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "In ΔXYZ, ∠X = 50°, ∠Y = 30° and ∠Z = 100°<br>In ΔMNO, ∠M = 50°, ∠N = 30° and ∠O = 100°<br>A student says that ΔXYZ ≅ ΔMNO by AAA congruence criterion. Is it justified? Why or why not?",
        "ans": "No, by AAA criteria we cannot prove the congruency of the 2 triangles, we can only establish their similarity<br>( ∴ Without the knowledge of even one side, we cannot know whether ratio of the lengths of sides is 1:1. So,<br>it is not justified in using AAA criteria.)",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch7a35a.jpg', width=\"180\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a35q.jpg",
          "width": "400",
          "height": "110"
        },
        "ansimg": {
          "image": "ch7a35a.jpg",
          "width": "180",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch7a36a.jpg', width=\"450\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a36q.jpg",
          "width": "400",
          "height": "130"
        },
        "ansimg": {
          "image": "ch7a36a.jpg",
          "width": "450",
          "height": "170"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                      ",
        "ans": "Here given ∠XYZ = ∠ONM = 90° and ∠XZY = ∠MON<br>For ΔXYZ and ΔMNO to be congruent, YZ needs to be equal to NO, then as per ASA criterion, the two triangles will be congruent.",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a37q.jpg",
          "width": "400",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                       ",
        "ans": "Given that ∠PQR = ∠XYZ and ∠QPR = ∠YXZ<br>Here two angles of ΔPQR are equal to the two respective angles of ΔXYZ also, the sum of all the interior angles of a triangle is 180°.<br>Thererfore, the 3<sup>rd</sup> angle of both the triangles will also be equal<br>∴ ∠QRP = ∠XZY<br>Hence, ΔPQR will be congruent to ΔXYZ by ASA congruency",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a38q.jpg",
          "width": "400",
          "height": "130"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                        ",
        "ans": "In ΔPQR and ΔTUS,<br>PQ = TU = 3 cm (given)<br>QR = US = 5.5 cm (given)<br>∠PQR = ∠TUS = 40° (given)<br>∴ ΔPQR ≅ ΔTUS (SAS criterion)",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a48q.jpg",
          "width": "450",
          "height": "180"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                         ",
        "ans": "In the given figure, ΔJKL and ΔMNO are not congruent by any criterion.",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a49q.jpg",
          "width": "450",
          "height": "180"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                          ",
        "ans": "In ΔSUT and ΔXYZ,<br>ST = XZ = 3 cm (given)<br>UT = YZ = 4 cm (given)<br>∠STU = ∠XZY = 30° (given)<br>∴ ΔSUT ≅ ΔXYZ (SAS criterion)",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a50q.jpg",
          "width": "450",
          "height": "180"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                           ",
        "ans": "In the given figure, ΔABC and ΔDEF are not congruent by any criterion.",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a51q.jpg",
          "width": "450",
          "height": "180"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).<br>(a) ΔPQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°<br>ΔSTU: ST = 3.5 cm, TU = 4.0 cm, ∠T = 60°",
        "ans": "img src='ch7a52a.jpg', width=\"450\", height=\"220\"",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch7a52a.jpg",
          "width": "450",
          "height": "220"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).<br>(b) ΔABC: AB = 4.8 cm, ∠A= 90°, AC = 6.8 cm<br>ΔXYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm",
        "ans": "img src='ch7a53a.jpg', width=\"350\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch7a53a.jpg",
          "width": "350",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                            ",
        "ans": "(a) In ΔPQR and ΔPSR,<br>PQ = PS (given)<br>∠1 = ∠2 (given) or ∠QPR ≅ ∠RPS<br>PR = PR (common)<br>∴ ΔPQR ≅ ΔPSR (SAS criterion)<br><br>(b) Yes, QR = SR",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a54q.jpg",
          "width": "250",
          "height": "180"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                             ",
        "ans": "(a) In ΔQSR and ΔRTQ<br>∠QSR = ∠RTQ = 90° ( ∴QS⊥PR and RT⊥ PQ (given))<br>QS = RT (given)<br>QR = RQ (common hypotenuse)<br>ΔQSR ≅ ΔRTQ (RHS criterion)",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a55q.jpg",
          "width": "300",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                              ",
        "ans": "(b) Yes, by using (i) part, we get<br>∠TQR = ∠SRQ<br>⇒∠PQR = ∠PRQ",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a56q.jpg",
          "width": "300",
          "height": "170"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                               ",
        "ans": "img src='ch7a57a.jpg', width=\"200\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 32,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch7a57q.jpg",
          "width": "300",
          "height": "170"
        },
        "ansimg": {
          "image": "ch7a57a.jpg",
          "width": "200",
          "height": "170"
        }
      }
    ],
    [],
    [],
    [
      {
        "heading": "Complete the sentences.",
        "qus": "Two angles are congruent if ______________.",
        "ans": "if their measures are same",
        "code": "CS",
        "width": null,
        "height": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 1
      },
      {
        "heading": "Complete the sentences.",
        "qus": "Among two congruent angles, one has a measure of 50°, the measure of the other angle is ______________.",
        "ans": "50°",
        "code": "CS",
        "width": null,
        "height": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 2
      },
      {
        "heading": "Complete the sentences.",
        "qus": "When we write ∠P=∠Q, we actually mean ______________.",
        "ans": "m∠P = m∠Q",
        "code": "CS",
        "width": null,
        "height": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 3
      },
      {
        "heading": "Complete the sentences.",
        "qus": "Among two congruent line segments, one has a length of 3 cm, the length of other line segment is ______________.",
        "ans": "3 cm",
        "code": "CS",
        "width": null,
        "height": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "val": 4
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "mtf": "ch7_mtf",
  "grade": "Grade 7",
  "co": "ch7_co",
  "fib": "ch7_fib",
  "mcq": "ch7_mcq",
  "saq": "ch7_saq",
  "vsaq": "ch7_vsaq",
  "laq": "ch7_laq",
  "tf": "ch7_tf",
  "nf": "ch7_nf",
  "yn": "ch7_yn",
  "afq": "ch7_afq",
  "pbq": "ch7_pbq",
  "gowf": "ch7_gowf",
  "afow": "ch7_afow",
  "cs": "ch7_cs",
  "ctco": "ch7_ctco",
  "map": "ch7_map",
  "dtf": "ch7_dtf",
  "grf": "ch7_grf",
  "snc": "ch7_snc",
  "jtf": "ch7_jtf",
  "ctt": "ch7_ctt",
  "un": "ch7_un"
},
{
    "subject": "Math",
    "chapter": "ch8",
    "chapterName": "Chapter 8 - Comparing Quantities",
    "all": [
        [{
            "heading": "Multiple Choice Question.",
            "qus": "Virat’s height is 200 cm and Dhoni is 50 cm taller than Virat. What is the ratio of their heights?",
            "ans": "(c) 4:5",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 2:3", "(b) 6:7", "(c) 4:5", "(d) 3:4"],
			
            "val": 1
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "Speed of lion is 7 times than the speed of dog. Given dog’s speed is 20 kmph. What is the speed of lion?",
            "ans": "(d) 140 Kmph",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 110 Kmph", "(b) 120 Kmph", "(c) 130 Kmph", "(d) 140 Kmph"],
            "val": 2
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "2 cups cost ₹30. What would be the cost of 10 pairs of similar cups?",
            "ans": "(b) 300",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 200", "(b) 300", "(c) 400", "(d) 150"],
            "val": 3
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "The ship consumes 20 litres for every 40 km. How much will it travel for having 220 litres of fuel?",
            "ans": "(c) 440",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 220", "(b) 330", "(c) 440", "(d) 550"],
            "val": 4
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "                                                                                                                                                                                                                                                                                                                ",
            "ans": "(c) 66.67%",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 65%", "(b) 66%", "(c) 66.67%", "(d) 68.67%"],
			"pic": {
          "image": "ch7a65q.jpg",
          "width": "140",
          "height": "40"
        },
            "val": 5
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "Convert 0.80 as a per cent.",
            "ans": "(b) 80%",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 40%", "(b) 80%", "(c) 60%", "(d) 20%"],
            "val": 6
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "Convert 0.69 as a per cent.",
            "ans": "(c) 69%",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 49%", "(b) 59%", "(c) 69%", "(d) 39%"],
            "val": 7
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "Convert 1.50 as a per cent.",
            "ans": "(b) 150%",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 50%", "(b) 150%", "(c) 75%", "(d) 100%"],
            "val": 8
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "                                                                                                                                                                                                                                                                                                                 ",
            "ans": "(b) 14.28%",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 21.28%", "(b) 14.28%", "(c) 14.30%", "(d) 15%"],
			"pic": {
			"image": "ch7a66q.jpg",
			"width": "140",
			"height": "40"
        },
            "val": 9
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "The population of city was 3 lakh people last year and currently it is 3.2 lakh people. What is the per cent increase?",
            "ans": "(d) 6.67%",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 3.67%", "(b) 5.67%", "(c) 7.67%", "(d) 6.67%"],
            "val": 10
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "A man bought a TV set for ₹20,000 and sold for ₹22,000. Find the profit percentage.",
            "ans": "(b) 10%",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 5%", "(b) 10%", "(c) 15%", "(d) 20%"],
            "val": 11
        }, {
            "heading": "Multiple Choice Question.",
            "qus": "A customer buys a chair at ₹4287 and wishes to sell it at ₹5381. Find the profit.",
            "ans": "(b) 1094",
            "code": "MCQ",
            "width": null,
            "height": null,
            "optn": null,
            "options": ["(a) 994", "(b) 1094", "(c) 1194", "(d) 1144"],
            "val": 12
        }],
        [{
            "heading": "State True or False.",
            "qus": "The ratio 2:6 and 3:9 are equivalent.",
            "ans": "True",
            "code": "TF",
            "val": 1
        }, {
            "heading": "State True or False.",
            "qus": "The ratio 36:42 and 24:28 bear the same value.",
            "ans": "True",
            "code": "TF",
            "val": 2
        }, {
            "heading": "State True or False.",
            "qus": "The ratio 18:9 can be portrayed as 3:1.",
            "ans": "False",
            "code": "TF",
            "val": 3
        }, {
            "heading": "State True or False.",
            "qus": "Drawing are always made in random ratio of length, breadth and heights.",
            "ans": "False",
            "code": "TF",
            "val": 4
        }, {
            "heading": "State True or False.",
            "qus": "25% of 20 is 4.",
            "ans": "False",
            "code": "TF",
            "val": 5
        }, {
            "heading": "State True or False.",
            "qus": "50% of 50 is 20.",
            "ans": "False",
            "code": "TF",
            "val": 6
        }, {
            "heading": "State True or False.",
            "qus": "                                                                                                                                                                                                                                                                                                                  ",
            "ans": "True",
            "code": "TF",
			"pic": {
			"image": "ch7a64a.jpg",
			"width": "130",
			"height": "40"
        },
            "val": 7
        }, {
            "heading": "State True or False.",
            "qus": "Fractions and decimals can’t be converted into percentage.",
            "ans": "False",
            "code": "TF",
            "val": 8
        }, {
            "heading": "State True or False.",
            "qus": "If selling price is geater than cost price it is called loss situation.",
            "ans": "False",
            "code": "TF",
            "val": 9
        }, {
            "heading": "State True or False.",
            "qus": "                                                                                                                                                                                                                                                                                                                   ",
            "ans": "True",
            "code": "TF",
			"pic": {
			"image": "ch8a14q.jpg",
			"width": "170",
			"height": "40"
        },
            "val": 10
        }, {
            "heading": "State True or False.",
            "qus": "Interest is calculated on principal.",
            "ans": "True",
            "code": "TF",
            "val": 11
        }, {
            "heading": "State True or False.",
            "qus": "Amount is the sum of selling price and cost price.",
            "ans": "False",
            "code": "TF",
            "val": 12
        }],
        [],
        [{
            "heading": "Fill in the blanks.",
            "qus": "The speed of dog is 4 times the speed of cat, then the speed of cat is _________ the speed of dog.",
            "ans": "1/4",
            "code": "FIB",
            "val": 1
        }, {
            "heading": "Fill in the blanks.",
            "qus": "A ratio has _________ units.",
            "ans": "no",
            "code": "FIB",
            "val": 2
        }, {
            "heading": "Fill in the blanks.",
            "qus": "The ratio of size in the drawing should be _________ as that of actual size.",
            "ans": "same",
            "code": "FIB",
            "val": 3
        }, {
            "heading": "Fill in the blanks.",
            "qus": "The ratio of 6 km to 200 m is _________ .",
            "ans": "30:1",
            "code": "FIB",
            "val": 4
        }, {
            "heading": "Fill in the blanks.",
            "qus": "Percentages are numerators of _________ with denominator _________ .",
            "ans": "fractions, 100",
            "code": "FIB",
            "val": 5
        }, {
            "heading": "Fill in the blanks.",
            "qus": "Fractional numbers can have _________ denominator.",
            "ans": "different",
            "code": "FIB",
            "val": 6
        }, {
            "heading": "Fill in the blanks.",
            "qus": "Mahi got 420 out 600. How many percentage of marks did she accumulate or obtain _________ .",
            "ans": "70%",
            "code": "FIB",
            "val": 7
        }, {
            "heading": "Fill in the blanks.",
            "qus": "The per cent of increase or decrease is calculated on _________ amount.",
            "ans": "original",
            "code": "FIB",
            "val": 8
        }, {
            "heading": "Fill in the blanks.",
            "qus": "The buying price of item is called _________ and price at which you sell is called _________.",
            "ans": "cost, selling price",
            "code": "FIB",
            "val": 9
        }, {
            "heading": "Fill in the blanks.",
            "qus": "Profit and loss is calculated by finding the difference of cost and _________ price.",
            "ans": "selling",
            "code": "FIB",
            "val": 10
        }, {
            "heading": "Fill in the blanks.",
            "qus": "Amount is sum of _________ and _________.",
            "ans": "principal, interest",
            "code": "FIB",
            "val": 11
        }],
        [],
        [],
        [],
        [],
        [],
        [],
        [{
            "heading": "Answer the following questions.",
            "qus": "Find the ratio of:<br>(i) 6 m to 18 cm",
            "ans": "img src='ch7a58a.jpg', width=\"290\", height=\"100\"",
            "code": "AFQ",
            "options": null,
            "val": 1,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a58a.jpg",
                "width": "290",
                "height": "100"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find the ratio of:<br>(ii) ₹7 to 42 paise",
            "ans": "img src='ch7a59a.jpg', width=\"290\", height=\"100\"",
            "code": "AFQ",
            "options": null,
            "val": 2,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a59a.jpg",
                "width": "290",
                "height": "100"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find the ratio of:<br>(iii) 10 kg to 90 g",
            "ans": "img src='ch7a60a.jpg', width=\"290\", height=\"110\"",
            "code": "AFQ",
            "options": null,
            "val": 3,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a60a.jpg",
                "width": "290",
                "height": "110"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find the ratio of:<br>(iv) 20 days to 12 hrs.",
            "ans": "img src='ch7a61a.jpg', width=\"290\", height=\"110\"",
            "code": "AFQ",
            "options": null,
            "val": 4,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a61a.jpg",
                "width": "290",
                "height": "110"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "In order to go for a picnic, a car occupies 4 persons. How many cars are required for a family of 24 persons?",
            "ans": "img src='ch7a62a.jpg', width=\"290\", height=\"160\"",
            "code": "AFQ",
            "options": null,
            "val": 5,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a62a.jpg",
                "width": "290",
                "height": "160"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Population of Surat = 500 lakhs and population of Ahmedabad = 360 lakhs<br>Area of Surat = 2 lakh km<sup>2</sup> and area of Ahmedabad = 3 lakh km<sup>2</sup><br>(i) Find population to area per km2 of each city and state that which is less populated",
            "ans": "img src='ch7a63a.jpg', width=\"480\", height=\"160\"",
            "code": "AFQ",
            "options": null,
            "val": 6,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a63a.jpg",
                "width": "480",
                "height": "160"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert decimal into percentage.<br>(i) 0.45",
            "ans": "(i) 0.45<br>0.45 × 100% = 45%",
            "code": "AFQ",
            "options": null,
            "val": 7,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": null,
                "width": null,
                "height": null
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert decimal into percentage.<br>(ii) 0.67",
            "ans": "(ii) 0.67<br>0.67 × 100% = 67%",
            "code": "AFQ",
            "options": null,
            "val": 8,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": null,
                "width": null,
                "height": null
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert decimal into percentage.<br>(iii) 0.55",
            "ans": "(iii) 0.55<br>0.55 × 100% = 55%",
            "code": "AFQ",
            "options": null,
            "val": 9,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": null,
                "width": null,
                "height": null
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert decimal into percentage.<br>(iv) 0.39",
            "ans": "(iv) 0.39<br>0.39 × 100% = 39%",
            "code": "AFQ",
            "options": null,
            "val": 10,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": null,
                "width": null,
                "height": null
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                    ",
            "ans": "img src='ch7a67a.jpg', width=\"200\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 11,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch7a67q.jpg",
                "width": "180",
                "height": "50"
            },
            "ansimg": {
                "image": "ch7a67a.jpg",
                "width": "200",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                     ",
            "ans": "img src='ch7a68a.jpg', width=\"200\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 12,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch7a68q.jpg",
                "width": "180",
                "height": "50"
            },
            "ansimg": {
                "image": "ch7a68a.jpg",
                "width": "200",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                      ",
            "ans": "img src='ch7a69a.jpg', width=\"220\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 13,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch7a69q.jpg",
                "width": "180",
                "height": "50"
            },
            "ansimg": {
                "image": "ch7a69a.jpg",
                "width": "220",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                       ",
            "ans": "img src='ch7a70a.jpg', width=\"220\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 14,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch7a70q.jpg",
                "width": "180",
                "height": "50"
            },
            "ansimg": {
                "image": "ch7a70a.jpg",
                "width": "220",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                        ",
            "ans": "img src='ch7a71a.jpg', width=\"230\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 15,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch7a71q.jpg",
                "width": "240",
                "height": "100"
            },
            "ansimg": {
                "image": "ch7a71a.jpg",
                "width": "230",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                         ",
            "ans": "img src='ch7a72a.jpg', width=\"230\", height=\"50\"",
            "code": "AFQ",
            "options": null,
            "val": 16,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch7a72q.jpg",
                "width": "240",
                "height": "100"
            },
            "ansimg": {
                "image": "ch7a72a.jpg",
                "width": "230",
                "height": "50"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                          ",
            "ans": "img src='ch7a73a.jpg', width=\"230\", height=\"70\"",
            "code": "AFQ",
            "options": null,
            "val": 17,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch7a73q.jpg",
                "width": "240",
                "height": "100"
            },
            "ansimg": {
                "image": "ch7a73a.jpg",
                "width": "230",
                "height": "70"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find / Solve:<br>(i) 25% of 25",
            "ans": "img src='ch7a74a.jpg', width=\"230\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 18,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a74a.jpg",
                "width": "230",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find / Solve:<br>(ii) 10% of 60 minutes",
            "ans": "img src='ch7a75a.jpg', width=\"230\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 19,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a75a.jpg",
                "width": "230",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find / Solve:<br>(iii) 12% of 1 litre",
            "ans": "img src='ch7a76a.jpg', width=\"230\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 20,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a76a.jpg",
                "width": "230",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find / Solve:<br>(iv) 24% of 1 kg",
            "ans": "img src='ch7a77aa.jpg', width=\"230\", height=\"40\"",
            "code": "AFQ",
            "options": null,
            "val": 21,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch7a77aa.jpg",
                "width": "230",
                "height": "40"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                           ",
            "ans": "img src='ch8a1a.jpg', width=\"150\", height=\"60\"",
            "code": "AFQ",
            "options": null,
            "val": 22,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch8a1q.jpg",
                "width": "140",
                "height": "40"
            },
            "ansimg": {
                "image": "ch8a1a.jpg",
                "width": "150",
                "height": "60"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "                                                                                                                                                                                                                                                                                                                            ",
            "ans": "img src='ch8a2a.jpg', width=\"150\", height=\"60\"",
            "code": "AFQ",
            "options": null,
            "val": 23,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": "ch8a2q.jpg",
                "width": "140",
                "height": "50"
            },
            "ansimg": {
                "image": "ch8a2a.jpg",
                "width": "150",
                "height": "60"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find 100% of the following:<br>(i) 7% is 14",
            "ans": "img src='ch8a3a.jpg', width=\"270\", height=\"100\"",
            "code": "AFQ",
            "options": null,
            "val": 24,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a3a.jpg",
                "width": "270",
                "height": "100"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find 100% of the following:<br>(ii) 2% is 1",
            "ans": "img src='ch8a4a.jpg', width=\"270\", height=\"100\"",
            "code": "AFQ",
            "options": null,
            "val": 25,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a4a.jpg",
                "width": "270",
                "height": "100"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find 100% of the following:<br>(iii) 10% is 6060",
            "ans": "img src='ch8a5a.jpg', width=\"270\", height=\"100\"",
            "code": "AFQ",
            "options": null,
            "val": 26,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a5a.jpg",
                "width": "270",
                "height": "100"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find 100% of the following:<br>(iv) 15% is 60",
            "ans": "img src='ch8a6a.jpg', width=\"270\", height=\"100\"",
            "code": "AFQ",
            "options": null,
            "val": 27,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a6a.jpg",
                "width": "270",
                "height": "100"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert into decimals / fractions of simplest forms.<br>(i) 50%",
            "ans": "img src='ch8a7a.jpg', width=\"270\", height=\"60\"",
            "code": "AFQ",
            "options": null,
            "val": 28,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a7a.jpg",
                "width": "270",
                "height": "60"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert into decimals / fractions of simplest forms.<br>(ii) 250%",
            "ans": "img src='ch8a8a.jpg', width=\"270\", height=\"60\"",
            "code": "AFQ",
            "options": null,
            "val": 29,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a8a.jpg",
                "width": "270",
                "height": "60"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert into decimals / fractions of simplest forms.<br>(iii) 25%",
            "ans": "img src='ch8a9a.jpg', width=\"270\", height=\"60\"",
            "code": "AFQ",
            "options": null,
            "val": 30,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a9a.jpg",
                "width": "270",
                "height": "60"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert into decimals / fractions of simplest forms.<br>(iv) 4%",
            "ans": "img src='ch8a10a.jpg', width=\"270\", height=\"60\"",
            "code": "AFQ",
            "options": null,
            "val": 31,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a10a.jpg",
                "width": "270",
                "height": "60"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "In a family 25% are males, 40% are females and remaining are children. Find the percentage of childrens.",
            "ans": "Percentage of family = Percentage of males + Percentage of females + Percentage of children<br>∴ Percentage of children = 100 - (Percentage of males + Percentage of females)<br>= 100 – (25 + 40) = 35%",
            "code": "AFQ",
            "options": null,
            "val": 32,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": null,
                "width": null,
                "height": null
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "In a city, there are 30,000 people residing, during an election. 90% of people voted. Find the number of people who didn’t vote.",
            "ans": "img src='ch8a11a.jpg', width=\"300\", height=\"170\"",
            "code": "AFQ",
            "options": null,
            "val": 33,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a11a.jpg",
                "width": "300",
                "height": "170"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Rahul saves 25% of his salary of rupees 10,000 and spends the rest. How much did he spend?",
            "ans": "img src='ch8a12a.jpg', width=\"300\", height=\"170\"",
            "code": "AFQ",
            "options": null,
            "val": 34,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a12a.jpg",
                "width": "300",
                "height": "170"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "In an university competition, a team won 90% of matches, which is 18. Find the total no. of matches played by this team.",
            "ans": "img src='ch8a13a.jpg', width=\"300\", height=\"150\"",
            "code": "AFQ",
            "options": null,
            "val": 35,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a13a.jpg",
                "width": "300",
                "height": "150"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find profit or loss percentage.<br>(i) Carpet bought for ₹125 and sold for ₹150.",
            "ans": "img src='ch8a15a.jpg', width=\"300\", height=\"170\"",
            "code": "AFQ",
            "options": null,
            "val": 36,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a15a.jpg",
                "width": "300",
                "height": "170"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find profit or loss percentage.<br>(ii) TV bought for ₹2500 and sold for ₹2000.",
            "ans": "img src='ch8a16a.jpg', width=\"300\", height=\"170\"",
            "code": "AFQ",
            "options": null,
            "val": 37,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a16a.jpg",
                "width": "300",
                "height": "170"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find profit or loss percentage.<br>(iii) A cycle bought for ₹1800 and sold for ₹1500.",
            "ans": "img src='ch8a17a.jpg', width=\"300\", height=\"170\"",
            "code": "AFQ",
            "options": null,
            "val": 38,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a17a.jpg",
                "width": "300",
                "height": "170"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert each part of the ratio to percentage.<br>(i) 5:3",
            "ans": "img src='ch8a18a.jpg', width=\"300\", height=\"150\"",
            "code": "AFQ",
            "options": null,
            "val": 39,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a18a.jpg",
                "width": "300",
                "height": "150"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert each part of the ratio to percentage.<br>(ii) 3:2",
            "ans": "img src='ch8a19a.jpg', width=\"300\", height=\"150\"",
            "code": "AFQ",
            "options": null,
            "val": 40,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a19a.jpg",
                "width": "300",
                "height": "150"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert each part of the ratio to percentage.<br>(iii) 2:2:1",
            "ans": "img src='ch8a20a.jpg', width=\"300\", height=\"160\"",
            "code": "AFQ",
            "options": null,
            "val": 41,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a20a.jpg",
                "width": "300",
                "height": "160"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Convert each part of the ratio to percentage.<br>(iv) 7:2:1",
            "ans": "img src='ch8a21a.jpg', width=\"300\", height=\"190\"",
            "code": "AFQ",
            "options": null,
            "val": 42,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a21a.jpg",
                "width": "300",
                "height": "190"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "The percentage of votes cast decreased from 20,000 to 18,000. Find the percentage decreased.",
            "ans": "img src='ch8a22a.jpg', width=\"300\", height=\"150\"",
            "code": "AFQ",
            "options": null,
            "val": 43,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a22a.jpg",
                "width": "300",
                "height": "150"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Mr. Bisani bought a land for ₹22,00,000 and the price increased to ₹23,76,000 in the ne×t year. Find the increased percentage.",
            "ans": "img src='ch8a23a.jpg', width=\"300\", height=\"130\"",
            "code": "AFQ",
            "options": null,
            "val": 44,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a23a.jpg",
                "width": "300",
                "height": "130"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Mr. Patel bought a motorcycle for ₹85,000 and sold it at a value which is 25% lesser than original value. Find the selling price.",
            "ans": "img src='ch8a24a.jpg', width=\"300\", height=\"130\"",
            "code": "AFQ",
            "options": null,
            "val": 45,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a24a.jpg",
                "width": "300",
                "height": "130"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Mr. Bhalla bought a Ring of gold for ₹1,00,000 and sold it when the price went up by 12.375%. Find the increased price.",
            "ans": "img src='ch8a25a.jpg', width=\"310\", height=\"150\"",
            "code": "AFQ",
            "options": null,
            "val": 46,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a25a.jpg",
                "width": "310",
                "height": "150"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Air contains nitrogen, oxygen and other gases in the ratio 14:5:1. Find the percentage of oxygen in air.",
            "ans": "img src='ch8a26a.jpg', width=\"250\", height=\"80\"",
            "code": "AFQ",
            "options": null,
            "val": 47,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a26a.jpg",
                "width": "250",
                "height": "80"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "If in a cylinder of air, mass of oxygen is 100 g, what is the mass of air?",
            "ans": "img src='ch8a27a.jpg', width=\"400\", height=\"100\"",
            "code": "AFQ",
            "options": null,
            "val": 48,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a27a.jpg",
                "width": "400",
                "height": "100"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Mr. Jala buys a chair for ₹2,500 and sells it for ₹2,125 after two years. Find the change in percentage.",
            "ans": "img src='ch8a28a.jpg', width=\"250\", height=\"160\"",
            "code": "AFQ",
            "options": null,
            "val": 49,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a28a.jpg",
                "width": "250",
                "height": "160"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find the amount to be paid at the end of 5 years.<br>(i) P = ₹12,250 at 15% p.a.",
            "ans": "img src='ch8a29a.jpg', width=\"300\", height=\"80\"",
            "code": "AFQ",
            "options": null,
            "val": 50,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a29a.jpg",
                "width": "300",
                "height": "80"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Find the amount to be paid at the end of 5 years.<br>(ii) P = ₹27,000 at 12% p.a.",
            "ans": "img src='ch8a30a.jpg', width=\"300\", height=\"80\"",
            "code": "AFQ",
            "options": null,
            "val": 51,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a30a.jpg",
                "width": "300",
                "height": "80"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "Mr. Singh paid interest of ₹2,500 on a smartphone bought last year at a rate of 8%. Find the principal value.",
            "ans": "img src='ch8a31a.jpg', width=\"320\", height=\"200\"",
            "code": "AFQ",
            "options": null,
            "val": 52,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a31a.jpg",
                "width": "320",
                "height": "200"
            }
        }, {
            "heading": "Answer the following questions.",
            "qus": "What time yields ₹20,000 after lending ₹8,000 at a rate of 20% p.a.?",
            "ans": "img src='ch8a32a.jpg', width=\"320\", height=\"230\"",
            "code": "AFQ",
            "options": null,
            "val": 53,
            "option1": [],
            "option2": [],
            "option3": [],
            "option4": [],
            "aoption1": [],
            "aoption2": [],
            "aoption3": [],
            "aoption4": null,
            "pic": {
                "image": null,
                "width": null,
                "height": null
            },
            "ansimg": {
                "image": "ch8a32a.jpg",
                "width": "320",
                "height": "230"
            }
        }],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        [],
        []
    ],
    "grade": "Grade 7",
    "co": "ch8_co",
    "fib": "ch8_fib",
    "mtf": "ch8_mtf",
    "mcq": "ch8_mcq",
    "saq": "ch8_saq",
    "vsaq": "ch8_vsaq",
    "laq": "ch8_laq",
    "tf": "ch8_tf",
    "nf": "ch8_nf",
    "yn": "ch8_yn",
    "afq": "ch8_afq",
    "pbq": "ch8_pbq",
    "gowf": "ch8_gowf",
    "afow": "ch8_afow",
    "cs": "ch8_cs",
    "ctco": "ch8_ctco",
    "map": "ch8_map",
    "dtf": "ch8_dtf",
    "grf": "ch8_grf",
    "snc": "ch8_snc",
    "jtf": "ch8_jtf",
    "ctt": "ch8_ctt",
    "un": "ch8_un"
},
{
  "subject": "Math",
  "chapter": "ch9",
  "chapterName": "Chapter 9 - Rational Numbers",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is not a rational number?",
        "ans": "(c) √–2",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0",
          "ch9O7a.jpg",
          "(c) √–2",
          "ch9O7d.jpg"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is a negative rational number?",
        "ans": "(c), (d)",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O8a.jpg",
          "ch9O8b.jpg",
          "ch9O8c.jpg",
          "ch9O8d.jpg"
        ],
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                             ",
        "ans": "(d) –8",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 4",
          "(b) –4",
          "(c) 8",
          "(d) –8"
        ],
		"pic": {
          "image": "ch9a9q.jpg",
          "width": "60",
          "height": "40"
        },
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following rational number is in standard form?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O10a.jpg",
          "ch9O10b.jpg",
          "ch9O10c.jpg",
          "ch9O10d.jpg"
        ],
		"ansimg": {
          "image": "ch9O10d.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                              ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O59a.jpg",
          "ch9O59b.jpg",
          "ch9O59c.jpg",
          "ch9O59d.jpg"
        ],
		"pic": {
          "image": "ch9a59q.jpg",
          "width": "170",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9O59d.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                               ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O60a.jpg",
          "ch9O60b.jpg",
          "ch9O60c.jpg",
          "ch9O60d.jpg"
        ],
		"pic": {
          "image": "ch9a60q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9O60b.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                                ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O61a.jpg",
          "ch9O61b.jpg",
          "ch9O61c.jpg",
          "ch9O61d.jpg"
        ],
		"pic": {
          "image": "ch9a61q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9O61d.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 7
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                                 ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O62a.jpg",
          "ch9O62b.jpg",
          "ch9O62c.jpg",
          "ch9O62d.jpg"
        ],
		"pic": {
          "image": "ch9a62q.jpg",
          "width": "120",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9O62b.jpg",
          "width": "50",
          "height": "30"
        },
        "val": 8
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following rational numbers is positive?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O101a.jpg",
          "ch9O101b.jpg",
          "ch9O101c.jpg",
          "ch9O101d.jpg"
        ],
		"ansimg": {
          "image": "ch9O101c.jpg",
          "width": "82",
          "height": "60"
        },
        "val": 9
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following rational numbers is negative?",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O102a.jpg",
          "ch9O102b.jpg",
          "ch9O102c.jpg",
          "ch9O102d.jpg"
        ],
		"ansimg": {
          "image": "ch9O102d.jpg",
          "width": "83",
          "height": "65"
        },
        "val": 10
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following rational numbers is equal to its reciprocal?",
        "ans": "(b) 1",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 0",
          "(b) 1",
          "ch9O103c.jpg",
          "(d) 2"
        ],
        "val": 11
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "(b) 3",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 1",
          "(b) 3",
          "(c) –3",
          "(d) –1"
        ],
		"pic": {
          "image": "ch9a104q.jpg",
          "width": "240",
          "height": "62"
        },
        
        "val": 12
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                                   ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O105a.jpg",
          "ch9O105b.jpg",
          "ch9O105c.jpg",
          "ch9O105d.jpg"
        ],
		"pic": {
          "image": "ch9a105q.jpg",
          "width": "203",
          "height": "55"
        },
        "ansimg": {
          "image": "ch9O105c.jpg",
          "width": "81",
          "height": "64"
        },
        "val": 13
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "                                                                                                                                                                                                                                                                                                                                    ",
        "ans": null,
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch9O106a.jpg",
          "ch9O106b.jpg",
          "ch9O106c.jpg",
          "ch9O106d.jpg"
        ],
		"pic": {
          "image": "ch9a106q.jpg",
          "width": "465",
          "height": "55"
        },
        "ansimg": {
          "image": "ch9O106d.jpg",
          "width": "85",
          "height": "65"
        },
        "val": 14
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "To reduce a rational number to its standard form, we divide its numerator and denominator by their.",
        "ans": "(b) H.C.F.",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) L.C.M.",
          "(b) H.C.F.",
          "(c) product",
          "(d) multiple"
        ],
        "val": 15
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch9a3q.jpg",
          "width": "220",
          "height": "40"
        },
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "By adding the numerator and denominator of a rational number by the same non-zero integer, we obtain another rational number equivalent to the given rational number.",
        "ans": "False",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch9a4q.jpg",
          "width": "220",
          "height": "40"
        },
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                       ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch9a5q.jpg",
          "width": "140",
          "height": "40"
        },
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch9a6q.jpg",
          "width": "60",
          "height": "40"
        },
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch9a54q.jpg",
          "width": "160",
          "height": "30"
        },
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                          ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch9a55q.jpg",
          "width": "80",
          "height": "30"
        },
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                           ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch9a56q.jpg",
          "width": "110",
          "height": "30"
        },
        "val": 8
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                            ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch9a57q.jpg",
          "width": "110",
          "height": "30"
        },
        "val": 9
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                             ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch9a58q.jpg",
          "width": "130",
          "height": "30"
        },
        "val": 10
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                              ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch9a98q.jpg",
          "width": "262",
          "height": "61"
        },
        "val": 11
      },
      {
        "heading": "State True or False.",
        "qus": "Every fraction is a rational number.",
        "ans": "True",
        "code": "TF",
        "val": 12
      },
      {
        "heading": "State True or False.",
        "qus": "Sum of two rational numbers is always a rational number.",
        "ans": "True",
        "code": "TF",
        "val": 13
      },
      {
        "heading": "State True or False.",
        "qus": "The quotient of two rational numbers is always a rational number.",
        "ans": "False",
        "code": "TF",
        "val": 14
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "True",
        "code": "TF",
		"pic": {
          "image": "ch9a99q.jpg",
          "width": "244",
          "height": "66"
        },
        "val": 15
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch9a99q.jpg",
          "width": "244",
          "height": "66"
        },
        "val": 16
      },
      {
        "heading": "State True or False.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "False",
        "code": "TF",
		"pic": {
          "image": "ch9a100q.jpg",
          "width": "487",
          "height": "38"
        },
        "val": 17
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "rational number",
        "code": "FIB",
		"pic": {
          "image": "ch9a1q.jpg",
          "width": "400",
          "height": "40"
        },
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Rational number includes _________ and _________.",
        "ans": "integers, fractions",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "12",
        "code": "FIB",
		"pic": {
          "image": "ch9a2q.jpg",
          "width": "60",
          "height": "40"
        },
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "To reduce the rational number to its standard form, we divide its numerator and denominator by their _________.",
        "ans": "H.C.F.",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "We can find _________ number of rational numbers between any two rational numbers.",
        "ans": "unlimited",
        "code": "FIB",
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "While adding rational number with same denominators, we add the _________ keeping the denominator same.",
        "ans": "numerator",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a50q.jpg",
          "width": "190",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9a50a.jpg",
          "width": "20",
          "height": "30"
        },
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a51q.jpg",
          "width": "70",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9a51a.jpg",
          "width": "100",
          "height": "30"
        },
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a52q.jpg",
          "width": "100",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9a52a.jpg",
          "width": "20",
          "height": "30"
        },
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                       ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a53q.jpg",
          "width": "110",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9a53a.jpg",
          "width": "20",
          "height": "30"
        },
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "________ is the rational number which is neither negative nor positive.",
        "ans": "0]",
        "code": "FIB",
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "Left]",
        "code": "FIB",
		"pic": {
          "image": "ch9a88q.jpg",
          "width": "529",
          "height": "67"
        },
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "Right]",
        "code": "FIB",
		"pic": {
          "image": "ch9a89q.jpg",
          "width": "543",
          "height": "74"
        },
        "val": 13
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "less]",
        "code": "FIB",
		"pic": {
          "image": "ch9a90q.jpg",
          "width": "241",
          "height": "62"
        },
        "val": 14
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                          ",
        "ans": "greater]",
        "code": "FIB",
		"pic": {
          "image": "ch9a91q.jpg",
          "width": "260",
          "height": "62"
        },
        "val": 15
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                           ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a92q.jpg",
          "width": "374",
          "height": "66"
        },
        "ansimg": {
          "image": "ch9a92a.jpg",
          "width": "43",
          "height": "64"
        },
        "val": 16
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                            ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a93q.jpg",
          "width": "362",
          "height": "63"
        },
        "ansimg": {
          "image": "ch9a93a.jpg",
          "width": "36",
          "height": "60"
        },
        "val": 17
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                             ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a94q.jpg",
          "width": "219",
          "height": "66"
        },
        "ansimg": {
          "image": "ch9a94a.jpg",
          "width": "36",
          "height": "63"
        },
        "val": 18
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                              ",
        "ans": null,
        "code": "FIB",
		"pic": {
          "image": "ch9a95q.jpg",
          "width": "237",
          "height": "68"
        },
        "ansimg": {
          "image": "ch9a95a.jpg",
          "width": "38",
          "height": "64"
        },
        "val": 19
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "–25]",
        "code": "FIB",
		"pic": {
          "image": "ch9a96q.jpg",
          "width": "154",
          "height": "62"
        },
        "val": 20
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The reciprocal of _______ does not exist.",
        "ans": "0]",
        "code": "FIB",
        "val": 21
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                ",
        "ans": "zero",
        "code": "FIB",
		"pic": {
          "image": "ch9a97q.jpg",
          "width": "564",
          "height": "58"
        },
        "val": 22
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "List five rational numbers between<br>(i) 0 and 1",
        "ans": "img src='ch9a11a.jpg', width=\"400\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch9a11a.jpg",
          "width": "400",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "List five rational numbers between<br>(ii) –3 and –2",
        "ans": "img src='ch9a12a.jpg', width=\"400\", height=\"140\"",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch9a12a.jpg",
          "width": "400",
          "height": "140"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "img src='ch9a13a.jpg', width=\"400\", height=\"140\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a13q.jpg",
          "width": "90",
          "height": "40"
        },
        "ansimg": {
          "image": "ch9a13a.jpg",
          "width": "400",
          "height": "140"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "img src='ch9a14a.jpg', width=\"400\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a14q.jpg",
          "width": "90",
          "height": "40"
        },
        "ansimg": {
          "image": "ch9a14a.jpg",
          "width": "400",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "img src='ch9a15a.jpg', width=\"400\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a15q.jpg",
          "width": "360",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a15a.jpg",
          "width": "400",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch9a16a.jpg', width=\"400\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a16q.jpg",
          "width": "360",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a16a.jpg",
          "width": "400",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch9a17a.jpg', width=\"350\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a17q.jpg",
          "width": "360",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a17a.jpg",
          "width": "350",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch9a18a.jpg', width=\"410\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a18q.jpg",
          "width": "360",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a18a.jpg",
          "width": "410",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch9a19a.jpg', width=\"550\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a19q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a19a.jpg",
          "width": "550",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "img src='ch9a20a.jpg', width=\"420\", height=\"80\"",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a20q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a20a.jpg",
          "width": "420",
          "height": "80"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "img src='ch9a21a.jpg', width=\"460\", height=\"90\"",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a21q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a21a.jpg",
          "width": "460",
          "height": "90"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                          ",
        "ans": "img src='ch9a22a.jpg', width=\"480\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a22q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a22a.jpg",
          "width": "480",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                           ",
        "ans": "img src='ch9a23a.jpg', width=\"550\", height=\"140\"",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a23q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a23a.jpg",
          "width": "550",
          "height": "140"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                            ",
        "ans": "img src='ch9a24a.jpg', width=\"400\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a24q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a24a.jpg",
          "width": "400",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                             ",
        "ans": "img src='ch9a25a.jpg', width=\"530\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a25q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a25a.jpg",
          "width": "530",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                              ",
        "ans": "img src='ch9a26a.jpg', width=\"470\", height=\"120\"",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a26q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a26a.jpg",
          "width": "470",
          "height": "120"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "img src='ch9a27a.jpg', width=\"500\", height=\"100\"",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a27q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a27a.jpg",
          "width": "500",
          "height": "100"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "img src='ch9a28a.jpg', width=\"240\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a28q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a28a.jpg",
          "width": "240",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "img src='ch9a29a.jpg', width=\"160\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a29q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a29a.jpg",
          "width": "160",
          "height": "150"
        }
      },
	  {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch9a30a.jpg', width=\"150\", height=\"30\"",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a30q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a30a.jpg",
          "width": "150",
          "height": "30"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "img src='ch9a31a.jpg', width=\"150\", height=\"30\"",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a31q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a31a.jpg",
          "width": "150",
          "height": "30"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "img src='ch9a32a.jpg', width=\"150\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a32q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a32a.jpg",
          "width": "150",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch9a33a.jpg', width=\"150\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a33q.jpg",
          "width": "400",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a33a.jpg",
          "width": "150",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch9a34a.jpg', width=\"130\", height=\"30\"",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a34q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a34a.jpg",
          "width": "130",
          "height": "30"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch9a35a.jpg', width=\"150\", height=\"30\"",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a35q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a35a.jpg",
          "width": "150",
          "height": "30"
        }
      },
      
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "<",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a36q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                          ",
        "ans": ">",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a37q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                           ",
        "ans": ">",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a38q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                            ",
        "ans": "=",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a39q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                             ",
        "ans": ">",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a40q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                              ",
        "ans": "<",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a41q.jpg",
          "width": "320",
          "height": "60"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "img src='ch9a42a.jpg', width=\"170\", height=\"275\"",
        "code": "AFQ",
        "options": null,
        "val": 32,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a42q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a42a.jpg",
          "width": "170",
          "height": "275"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                ",
        "ans": "img src='ch9a43a.jpg', width=\"170\", height=\"275\"",
        "code": "AFQ",
        "options": null,
        "val": 33,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a43q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a43a.jpg",
          "width": "170",
          "height": "275"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "img src='ch9a44a.jpg', width=\"305\", height=\"180\"",
        "code": "AFQ",
        "options": null,
        "val": 34,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a44q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a44a.jpg",
          "width": "305",
          "height": "180"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "img src='ch9a45a.jpg', width=\"180\", height=\"121\"",
        "code": "AFQ",
        "options": null,
        "val": 35,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a45q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a45a.jpg",
          "width": "180",
          "height": "121"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "img src='ch9a46a.jpg', width=\"190\", height=\"255\"",
        "code": "AFQ",
        "options": null,
        "val": 36,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a46q.jpg",
          "width": "230",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a46a.jpg",
          "width": "190",
          "height": "255"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch9a47a.jpg', width=\"246\", height=\"119\"",
        "code": "AFQ",
        "options": null,
        "val": 37,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a47q.jpg",
          "width": "300",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a47a.jpg",
          "width": "246",
          "height": "119"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch9a48a.jpg', width=\"224\", height=\"111\"",
        "code": "AFQ",
        "options": null,
        "val": 38,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a48q.jpg",
          "width": "300",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a48a.jpg",
          "width": "224",
          "height": "111"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch9a49a.jpg', width=\"225\", height=\"113\"",
        "code": "AFQ",
        "options": null,
        "val": 39,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a49q.jpg",
          "width": "300",
          "height": "60"
        },
        "ansimg": {
          "image": "ch9a49a.jpg",
          "width": "225",
          "height": "113"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch9a63a.jpg', width=\"105\", height=\"148\"",
        "code": "AFQ",
        "options": null,
        "val": 40,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a63q.jpg",
          "width": "150",
          "height": "42"
        },
        "ansimg": {
          "image": "ch9a63a.jpg",
          "width": "105",
          "height": "148"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "img src='ch9a64a.jpg', width=\"208\", height=\"174\"",
        "code": "AFQ",
        "options": null,
        "val": 41,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a64q.jpg",
          "width": "148",
          "height": "44"
        },
        "ansimg": {
          "image": "ch9a64a.jpg",
          "width": "208",
          "height": "174"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "img src='ch9a65a.jpg', width=\"165\", height=\"61\"",
        "code": "AFQ",
        "options": null,
        "val": 42,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a65q.jpg",
          "width": "111",
          "height": "37"
        },
        "ansimg": {
          "image": "ch9a65a.jpg",
          "width": "165",
          "height": "61"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                          ",
        "ans": "img src='ch9a66a.jpg', width=\"161\", height=\"62\"",
        "code": "AFQ",
        "options": null,
        "val": 43,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a66q.jpg",
          "width": "90",
          "height": "36"
        },
        "ansimg": {
          "image": "ch9a66a.jpg",
          "width": "161",
          "height": "62"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                           ",
        "ans": "img src='ch9a67a.jpg', width=\"150\", height=\"188\"",
        "code": "AFQ",
        "options": null,
        "val": 44,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a67q.jpg",
          "width": "109",
          "height": "40"
        },
        "ansimg": {
          "image": "ch9a67a.jpg",
          "width": "150",
          "height": "188"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                             ",
        "ans": "img src='ch9a69a.jpg', width=\"156\", height=\"242\"",
        "code": "AFQ",
        "options": null,
        "val": 45,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a69q.jpg",
          "width": "112",
          "height": "42"
        },
        "ansimg": {
          "image": "ch9a69a.jpg",
          "width": "156",
          "height": "242"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                              ",
        "ans": "img src='ch9a70a.jpg', width=\"174\", height=\"218\"",
        "code": "AFQ",
        "options": null,
        "val": 46,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a70q.jpg",
          "width": "116",
          "height": "66"
        },
        "ansimg": {
          "image": "ch9a70a.jpg",
          "width": "174",
          "height": "218"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "img src='ch9a71a.jpg', width=\"172\", height=\"277\"",
        "code": "AFQ",
        "options": null,
        "val": 47,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a71q.jpg",
          "width": "116",
          "height": "66"
        },
        "ansimg": {
          "image": "ch9a71a.jpg",
          "width": "172",
          "height": "277"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                ",
        "ans": "img src='ch9a72a.jpg', width=\"217\", height=\"216\"",
        "code": "AFQ",
        "options": null,
        "val": 48,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a72q.jpg",
          "width": "116",
          "height": "66"
        },
        "ansimg": {
          "image": "ch9a72a.jpg",
          "width": "217",
          "height": "216"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "img src='ch9a73a.jpg', width=\"252\", height=\"288\"",
        "code": "AFQ",
        "options": null,
        "val": 49,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a73q.jpg",
          "width": "116",
          "height": "66"
        },
        "ansimg": {
          "image": "ch9a73a.jpg",
          "width": "252",
          "height": "288"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "img src='ch9a74a.jpg', width=\"164\", height=\"297\"",
        "code": "AFQ",
        "options": null,
        "val": 50,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a74q.jpg",
          "width": "116",
          "height": "66"
        },
        "ansimg": {
          "image": "ch9a74a.jpg",
          "width": "164",
          "height": "297"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "img src='ch9a75a.jpg', width=\"238\", height=\"315\"",
        "code": "AFQ",
        "options": null,
        "val": 51,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a75q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a75a.jpg",
          "width": "238",
          "height": "315"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch9a76a.jpg', width=\"207\", height=\"267\"",
        "code": "AFQ",
        "options": null,
        "val": 52,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a76q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a76a.jpg",
          "width": "207",
          "height": "267"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch9a77a.jpg', width=\"229\", height=\"286\"",
        "code": "AFQ",
        "options": null,
        "val": 53,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a77q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a77a.jpg",
          "width": "229",
          "height": "286"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch9a78a.jpg', width=\"277\", height=\"281\"",
        "code": "AFQ",
        "options": null,
        "val": 54,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a78q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a78a.jpg",
          "width": "277",
          "height": "281"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch9a79a.jpg', width=\"193\", height=\"274\"",
        "code": "AFQ",
        "options": null,
        "val": 55,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a79q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a79a.jpg",
          "width": "193",
          "height": "274"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "img src='ch9a80a.jpg', width=\"314\", height=\"251\"",
        "code": "AFQ",
        "options": null,
        "val": 56,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a80q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a80a.jpg",
          "width": "314",
          "height": "251"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "img src='ch9a81a.jpg', width=\"188\", height=\"292\"",
        "code": "AFQ",
        "options": null,
        "val": 57,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a81q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a81a.jpg",
          "width": "188",
          "height": "292"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                          ",
        "ans": "img src='ch9a82a.jpg', width=\"178\", height=\"272\"",
        "code": "AFQ",
        "options": null,
        "val": 58,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a82q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a82a.jpg",
          "width": "178",
          "height": "272"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                           ",
        "ans": "img src='ch9a83a.jpg', width=\"191\", height=\"278\"",
        "code": "AFQ",
        "options": null,
        "val": 59,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a83q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a83a.jpg",
          "width": "191",
          "height": "278"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                            ",
        "ans": "img src='ch9a84a.jpg', width=\"236\", height=\"278\"",
        "code": "AFQ",
        "options": null,
        "val": 60,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a84q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a84a.jpg",
          "width": "236",
          "height": "278"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                             ",
        "ans": "img src='ch9a85a.jpg', width=\"159\", height=\"268\"",
        "code": "AFQ",
        "options": null,
        "val": 61,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a85q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a85a.jpg",
          "width": "159",
          "height": "268"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                              ",
        "ans": "img src='ch9a86a.jpg', width=\"259\", height=\"272\"",
        "code": "AFQ",
        "options": null,
        "val": 62,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a86q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a86a.jpg",
          "width": "259",
          "height": "272"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "img src='ch9a87a.jpg', width=\"425\", height=\"277\"",
        "code": "AFQ",
        "options": null,
        "val": 63,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a87q.jpg",
          "width": "202",
          "height": "107"
        },
        "ansimg": {
          "image": "ch9a87a.jpg",
          "width": "425",
          "height": "277"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                ",
        "ans": "img src='ch9a107a.jpg', width=\"257\", height=\"71\"",
        "code": "AFQ",
        "options": null,
        "val": 64,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a107q.jpg",
          "width": "519",
          "height": "97"
        },
        "ansimg": {
          "image": "ch9a107a.jpg",
          "width": "257",
          "height": "71"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "img src='ch9a108a.jpg', width=\"247\", height=\"63\"",
        "code": "AFQ",
        "options": null,
        "val": 65,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a108q.jpg",
          "width": "519",
          "height": "97"
        },
        "ansimg": {
          "image": "ch9a108a.jpg",
          "width": "247",
          "height": "63"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "img src='ch9a109a.jpg', width=\"324\", height=\"199\"",
        "code": "AFQ",
        "options": null,
        "val": 66,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a109q.jpg",
          "width": "336",
          "height": "65"
        },
        "ansimg": {
          "image": "ch9a109a.jpg",
          "width": "324",
          "height": "199"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "img src='ch9a110a.jpg', width=\"456\", height=\"383\"",
        "code": "AFQ",
        "options": null,
        "val": 67,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a110q.jpg",
          "width": "444",
          "height": "116"
        },
        "ansimg": {
          "image": "ch9a110a.jpg",
          "width": "456",
          "height": "383"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch9a111a.jpg', width=\"465\", height=\"375\"",
        "code": "AFQ",
        "options": null,
        "val": 68,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a111q.jpg",
          "width": "302",
          "height": "70"
        },
        "ansimg": {
          "image": "ch9a111a.jpg",
          "width": "465",
          "height": "375"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch9a112a.jpg', width=\"83\", height=\"64\"",
        "code": "AFQ",
        "options": null,
        "val": 69,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a112q.jpg",
          "width": "589",
          "height": "61"
        },
        "ansimg": {
          "image": "ch9a112a.jpg",
          "width": "83",
          "height": "64"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch9a113a.jpg', width=\"182\", height=\"61\"",
        "code": "AFQ",
        "options": null,
        "val": 70,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a113q.jpg",
          "width": "589",
          "height": "61"
        },
        "ansimg": {
          "image": "ch9a113a.jpg",
          "width": "182",
          "height": "61"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch9a114a.jpg', width=\"248\", height=\"63\"",
        "code": "AFQ",
        "options": null,
        "val": 71,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a114q.jpg",
          "width": "589",
          "height": "61"
        },
        "ansimg": {
          "image": "ch9a114a.jpg",
          "width": "248",
          "height": "63"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "img src='ch9a115a.jpg', width=\"87\", height=\"74\"",
        "code": "AFQ",
        "options": null,
        "val": 72,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a115q.jpg",
          "width": "589",
          "height": "61"
        },
        "ansimg": {
          "image": "ch9a115a.jpg",
          "width": "87",
          "height": "74"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "img src='ch9a116a.jpg', width=\"295\", height=\"55\"",
        "code": "AFQ",
        "options": null,
        "val": 73,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a116q.jpg",
          "width": "589",
          "height": "61"
        },
        "ansimg": {
          "image": "ch9a116a.jpg",
          "width": "295",
          "height": "55"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                          ",
        "ans": "img src='ch9a117a.jpg', width=\"268\", height=\"162\"",
        "code": "AFQ",
        "options": null,
        "val": 74,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a117q.jpg",
          "width": "366",
          "height": "34"
        },
        "ansimg": {
          "image": "ch9a117a.jpg",
          "width": "268",
          "height": "162"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                           ",
        "ans": "img src='ch9a118a.jpg', width=\"269\", height=\"157\"",
        "code": "AFQ",
        "options": null,
        "val": 75,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch9a118q.jpg",
          "width": "404",
          "height": "30"
        },
        "ansimg": {
          "image": "ch9a118a.jpg",
          "width": "269",
          "height": "157"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "If 15 shirts of equal size can be prepared from 36 m cloth, what is length of cloth required for each shirt? Length of cloth required for each shirt = Total available cloth ÷ number of shirts",
        "ans": "img src='ch9a119a.jpg', width=\"307\", height=\"97\"",
        "code": "AFQ",
        "options": null,
        "val": 76,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch9a119a.jpg",
          "width": "307",
          "height": "97"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "150 students are studying English, Maths or both. 62 per cent of the students are studying English and 68 per cent are studying Maths. How many students are studying both subjects?",
        "ans": "img src='ch9a120a.jpg', width=\"536\", height=\"356\"",
        "code": "AFQ",
        "options": null,
        "val": 77,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch9a120a.jpg",
          "width": "536",
          "height": "356"
        }
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "fib": "ch9_fib",
  "grade": "Grade 7",
  "co": "ch9_co",
  "mtf": "ch9_mtf",
  "mcq": "ch9_mcq",
  "saq": "ch9_saq",
  "vsaq": "ch9_vsaq",
  "laq": "ch9_laq",
  "tf": "ch9_tf",
  "nf": "ch9_nf",
  "yn": "ch9_yn",
  "afq": "ch9_afq",
  "pbq": "ch9_pbq",
  "gowf": "ch9_gowf",
  "afow": "ch9_afow",
  "cs": "ch9_cs",
  "ctco": "ch9_ctco",
  "map": "ch9_map",
  "dtf": "ch9_dtf",
  "grf": "ch9_grf",
  "snc": "ch9_snc",
  "jtf": "ch9_jtf",
  "ctt": "ch9_ctt",
  "un": "ch9_un"
},
{
  "subject": "Math",
  "chapter": "ch10",
  "chapterName": "Chapter 10 - Practical Geometry",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "A triangle can be constructed by taking its sides as:",
        "ans": "(b) 2 cm, 3 cm, 4 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 1.8 cm, 2.6 cm, 4.4 cm",
          "(b) 2 cm, 3 cm, 4 cm",
          "(c) 2.4 cm, 2.4 cm, 6.4 cm",
          "(d) 3.2 cm, 2.3 cm, 5.5 cm"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "A triangle can be constructed by taking two of its angle as:",
        "ans": "(a) 110°, 40°",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 110°, 40°",
          "(b) 70°, 115°",
          "(c) 135°, 45°",
          "(b) 90°, 90°"
        ],
        "val": 2
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "A triangle can be drawn using two sides and any one angle.",
        "ans": "False",
        "code": "TF",
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "A triangle can be drawn using two angles and side between them.",
        "ans": "True",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "The hypotenuse and a leg are needed in case of right-angled triangle to draw a triangle.",
        "ans": "True",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "We can draw exactly one triangle whose angles are 80°, 80°, 20°.",
        "ans": "False",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "The distance between the two parallel lines is the same everywhere.",
        "ans": "True",
        "code": "TF",
        "val": 5
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "The exterior angle of a triangle is equal in measure to the sum of interior ________ angles.",
        "ans": "opposite",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The total measure of the three angles of a triangle is ________ .",
        "ans": "180°",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Sum of the lengths of any two sides of a triangle is greater than the length of the ________ side.",
        "ans": "third",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "In any right-angled triangle, the square of the length of ________ is equal to the sum of the squares of the lengths of the other two sides.",
        "ans": "hypotenuse",
        "code": "FIB",
        "val": 4
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "Draw a line, say XY, take a point Z outside it. Through Z, draw a line parallel to AB using ruler and compasses only.",
        "ans": "img src='ch10a1a.jpg', width=\"234\", height=\"95\"",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a1a.jpg",
          "width": "234",
          "height": "95"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Draw a line l. Draw a perpendicular to l at any point on this perpendicular choose a point X, 5 cm away from l. Through X, 5 cm line n parallel to l.",
        "ans": "img src='ch10a2a.jpg', width=\"230\", height=\"175\"",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a2a.jpg",
          "width": "230",
          "height": "175"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Let l be a line and A be a point not on l. Through A, draw a line m parallel to l. Now join A to any point B on l. Choose any other point C on m. Through C, draw a line parallel to AB. Let this meet l at D. What shape do the two sets of parallel lines enclose?",
        "ans": "img src='ch10a3a.jpg', width=\"340\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a3a.jpg",
          "width": "340",
          "height": "200"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct ΔABC in which AB = 5 cm, BC = 4 cm and CA = 4.5 cm.",
        "ans": "img src='ch10a4a.jpg', width=\"173\", height=\"127\"",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a4a.jpg",
          "width": "173",
          "height": "127"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct an equilateral triangle having side 5 cm.",
        "ans": "img src='ch10a5a.jpg', width=\"170\", height=\"149\"",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a5a.jpg",
          "width": "170",
          "height": "149"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Draw ΔXYZ with XY = 4.5 cm, YZ = 4 cm and ZX = 4.5 cm. What type of triangle is this?",
        "ans": "img src='ch10a6a.jpg', width=\"210\", height=\"200\"",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a6a.jpg",
          "width": "210",
          "height": "200"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct ΔABC such that AB = 3 cm, BC = 4 cm and AC = 5 cm. Measure ∠B.",
        "ans": "img src='ch10a7a.jpg', width=\"345\", height=\"121\"",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a7a.jpg",
          "width": "345",
          "height": "121"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct ΔABC such that AB = 5 cm, BC = 3.5 cm and ∠ABC = 80°.",
        "ans": "img src='ch10a8a.jpg', width=\"200\", height=\"150\"",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a8a.jpg",
          "width": "200",
          "height": "150"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct an isosceles triangle in which the length of each of its equal sides is 6 cm, and the angle between them is 100°.",
        "ans": "img src='ch10a9a.jpg', width=\"290\", height=\"228\"",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a9a.jpg",
          "width": "290",
          "height": "228"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct ΔPQR with QR = 8 cm, PQ = 4 cm and ∠Q = 50°:",
        "ans": "img src='ch10a10a.jpg', width=\"242\", height=\"171\"",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a10a.jpg",
          "width": "242",
          "height": "171"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct ΔXYZ, if XY= 6 cm, m∠XYZ = 100° and m∠YZX = 45°",
        "ans": "img src='ch10a11a.jpg', width=\"537\", height=\"161\"",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a11a.jpg",
          "width": "537",
          "height": "161"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Examine whether you can construct ΔABC such that BC = 6.5 cm, m∠B = 100° and m∠C = 90°. Justify your answer.",
        "ans": "Using angle sum property<br>∠A + ∠B + ∠C = 180°<br>∴ ∠A + 100° + 90° = 180°<br>∴ ∠A = 180° – 190°<br>∴ ∠A = – 10°<br>which is not possible.",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct the right-angled ΔABC, where m∠B = 90°, AB = 4 cm and AC = 5 cm.",
        "ans": "img src='ch10a12a.jpg', width=\"140\", height=\"128\"",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a12a.jpg",
          "width": "140",
          "height": "128"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct a right-angled triangle whose hypotenuse is 4 cm long and one of the legs is 3.5 cm long.",
        "ans": "img src='ch10a13a.jpg', width=\"119\", height=\"119\"",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a13a.jpg",
          "width": "119",
          "height": "119"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct an isosceles right-angled triangle XYZ, where ∠XYZ = 90° and XZ = 5 cm.",
        "ans": "img src='ch10a14a.jpg', width=\"162\", height=\"184\"",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a14a.jpg",
          "width": "162",
          "height": "184"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct a right-angled triangle whose hypotenuse measures 5 cm and one of the other side measures 3.2 cm.",
        "ans": "img src='ch10a15a.jpg', width=\"460\", height=\"181\"",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a15a.jpg",
          "width": "460",
          "height": "181"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct a right-angled isosceles triangle with one side (other than hypotenuse) of length 4 cm.",
        "ans": "img src='ch10a16a.jpg', width=\"158\", height=\"169\"",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a16a.jpg",
          "width": "158",
          "height": "169"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Draw two parallel lines at a distance of 4.5 cm apart.",
        "ans": "img src='ch10a17a.jpg', width=\"350\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a17a.jpg",
          "width": "350",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Draw an isosceles triangle with each of its equal sides of length 4 cm and the angle between them as 50°.",
        "ans": "img src='ch10a18a.jpg', width=\"516\", height=\"272\"",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a18a.jpg",
          "width": "516",
          "height": "272"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Construct an obtuse-angled triangle which has a base of 6 cm and base angles of 40° and 100°.",
        "ans": "img src='ch10a19a.jpg', width=\"587\", height=\"246\"",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch10a19a.jpg",
          "width": "587",
          "height": "246"
        }
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "fib": "ch10_fib",
  "un": "ch10_un",
  "grade": "Grade 7",
  "co": "ch10_co",
  "snc": "ch10_snc",
  "jtf": "ch10_jtf",
  "ctt": "ch10_ctt",
  "afq": "ch10_afq",
  "pbq": "ch10_pbq",
  "gowf": "ch10_gowf",
  "afow": "ch10_afow",
  "cs": "ch10_cs",
  "ctco": "ch10_ctco",
  "map": "ch10_map",
  "dtf": "ch10_dtf",
  "grf": "ch10_grf",
  "nf": "ch10_nf",
  "yn": "ch10_yn",
  "mcq": "ch10_mcq",
  "mtf": "ch10_mtf",
  "saq": "ch10_saq",
  "vsaq": "ch10_vsaq",
  "tf": "ch10_tf",
  "laq": "ch10_laq"
},
{
  "subject": "Math",
  "chapter": "ch11",
  "chapterName": "Chapter 11 - Perimeter and Area",
  "all": [
    [
      {
        "heading": "Multiple Choice Question.",
        "qus": "If the cost of painting a room is $2 for 1 cm<sup>2</sup>, then how much will it cost for 20 cm<sup>2</sup>?",
        "ans": "(a) $40",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) $40",
          "(b) $20",
          "(c) $30",
          "(d) $80"
        ],
        "val": 1
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "The perimeter of a square is 160 cm, then its length is",
        "ans": "(c) 40 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 80 cm",
          "(b) 90 cm",
          "(c) 40 cm",
          "(d) 20 cm"
        ],
        "val": 2
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If perimeter of a rectangle is 40 cm and its length is 15 cm, then what will be its breadth?",
        "ans": "(c) 5 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 20 cm",
          "(b) 40 cm",
          "(c) 5 cm",
          "(d) 10 cm"
        ],
        "val": 3
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What will be the length of the side of the parallelogram if its area is 24 cm<sup>2</sup> and height 12 cm?",
        "ans": "(c) 2 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 6 cm",
          "(b) 24 cm",
          "(c) 2 cm",
          "(d) 4 cm"
        ],
        "val": 4
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What is area of a triangle having length 8 units and height 4 units?",
        "ans": "(a) 16 units",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 16 units",
          "(b) 18 units",
          "(c) 32 units",
          "(d) 20 units"
        ],
        "val": 5
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What will be the height of a parallelogram if its area is 246 cm<sup>2</sup> and base is 20 cm?",
        "ans": "(c) 12.3 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 13.2 cm",
          "(b) 132 cm",
          "(c) 12.3 cm",
          "(d) 123 cm"
        ],
        "val": 6
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What will be the value of base of a triangle having height 10 cm and area 50 cm<sup>2</sup>?",
        "ans": "(d) 10 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 120 cm",
          "(b) 50 cm",
          "(c) 5 cm",
          "(d) 10 cm"
        ],
        "val": 7
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What will be the base of a parallelogram, having height 25 cm and area 400 cm<sup>2</sup>?",
        "ans": "(b) 16 cm<sup>2</sup>",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 25 cm<sup>2</sup>",
          "(b) 16 cm<sup>2</sup>",
          "(c) 100 cm<sup>2</sup>",
          "(d) 4 cm<sup>2</sup>"
        ],
        "val": 8
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the value of pi?",
        "ans": "ch11O1c.jpg",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "ch11O1a.jpg",
          "ch11O1b.jpg",
          "ch11O1c.jpg",
          "ch11O1d.jpg"
        ],
		"ansimg": {
          "image": "ch11O1c.jpg",
          "width": "46",
          "height": "32"
        },
        "val": 9
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "By which sign, the constant pi is denoted?",
        "ans": "(a) π",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) π",
          "(b) α",
          "(c) β",
          "d) ϒ"
        ],
        "val": 10
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What will be the radius of a circle, if its diameter is 8 m?",
        "ans": "(d) 4 m",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 4 cm",
          "(b) 16 m",
          "(c) 16 cm",
          "(d) 4 m"
        ],
        "val": 11
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "What will be the area of a circle, whose radius is 3 cm?",
        "ans": "(b) 9π",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 6 π",
          "(b) 9π",
          "(c) 18π",
          "(d) 1.5π"
        ],
        "val": 12
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is equal to 2 hectares?",
        "ans": "(b) 20,000 m<sup>2</sup>",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 1000 m<sup>2</sup>",
          "(b) 20,000 m<sup>2</sup>",
          "(c) 5000 m<sup>2</sup>",
          "(d) 8000m<sup>2</sup>"
        ],
        "val": 13
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is the symbol to denote hectare?",
        "ans": "(d) Ha",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) He",
          "(b) Ho",
          "(c) Hi",
          "(d) Ha"
        ],
        "val": 14
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is equal to 3 cm<sup>2</sup>?",
        "ans": "(a) 300 mm<sup>2</sup>",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 300 mm<sup>2</sup>",
          "(b) 300 m<sup>2</sup>",
          "(c) 900 mm<sup>2</sup>",
          "(d) 600 m<sup>2</sup>"
        ],
        "val": 15
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Which of the following is equal to 2 mcm<sup>2</sup>?",
        "ans": "(b) 20000 cm<sup>2</sup>",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 1000 mm<sup>2</sup>",
          "(b) 20000 cm<sup>2</sup>",
          "(c) 100 mm<sup>2</sup>",
          "(d) 2000 mm<sup>2</sup>"
        ],
        "val": 16
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "A wire is bent to form a square of side 7 cm. Then its perimeter will be",
        "ans": "(d) 28 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 7 cm",
          "(b) 14 cm",
          "(c) 21 cm",
          "(d) 28 cm"
        ],
        "val": 17
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Area of rectangle and the area of a circle are equal. If the dimensions of the rectangle are 7 cm × 22 cm, then the radius of the circle will be",
        "ans": "(a) 7 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 7 cm",
          "(b) 44 cm",
          "(c) 22 cm",
          "(d) 11 cm"
        ],
        "val": 18
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Area of a right-angled triangle is 6 cm2. If its hypotenuse is of 5 cm, then its base will be",
        "ans": "(a) 4 cm or 3 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 4 cm or 3 cm",
          "(b) 5 cm",
          "(c) 7 cm",
          "(d) 11 cm"
        ],
        "val": 19
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Circumference of a circle is 314 cm, then its diameter will be",
        "ans": "(c) 50 cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 10 cm",
          "(b) 100 cm",
          "(c) 50 cm",
          "(d) 3.14 cm"
        ],
        "val": 20
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "Length of a tape required to cover the edges of a semicircular disc of radius 15 cm is",
        "ans": "(d) 15π cm",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 20π cm",
          "(b) 5π cm",
          "(c) 30π cm",
          "(d) 15π cm"
        ],
        "val": 21
      },
      {
        "heading": "Multiple Choice Question.",
        "qus": "If the radius of a circle is increased to thrice of its original length, how much will the area of the circle increase?",
        "ans": "(d) 9 times",
        "code": "MCQ",
        "width": null,
        "height": null,
        "optn": null,
        "options": [
          "(a) 6 times",
          "(b) 1.5 times",
          "(c) 3 times",
          "(d) 9 times"
        ],
        "val": 22
      }
    ],
    [
      {
        "heading": "State True or False.",
        "qus": "Perimeter of a square = 4×(2(length+breadth)).",
        "ans": "False",
        "code": "TF",
        "val": 1
      },
      {
        "heading": "State True or False.",
        "qus": "The length of all the sides of a rectangle is same.",
        "ans": "False",
        "code": "TF",
        "val": 2
      },
      {
        "heading": "State True or False.",
        "qus": "Area of a rectangle having side 2 cm and breadth 25 cm is equal to 50 cm<sup>2</sup>.",
        "ans": "True",
        "code": "TF",
        "val": 3
      },
      {
        "heading": "State True or False.",
        "qus": "The ratio of the circumference and the diameter of a circle is less than 3.",
        "ans": "False",
        "code": "TF",
        "val": 4
      },
      {
        "heading": "State True or False.",
        "qus": "The area of any parallelogram PQRS is PQ × QR.",
        "ans": "False",
        "code": "TF",
        "val": 5
      },
      {
        "heading": "State True or False.",
        "qus": "A circle having circumference 44π cm is having a radius 22 cm.",
        "ans": "True",
        "code": "TF",
        "val": 6
      },
      {
        "heading": "State True or False.",
        "qus": "All the congruent triangles have equal area.",
        "ans": "True",
        "code": "TF",
        "val": 7
      },
      {
        "heading": "State True or False.",
        "qus": "A triangle having an altitude of length 6 m and base 3 m has an area of 9 m<sup>2</sup>.",
        "ans": "True",
        "code": "TF",
        "val": 8
      }
    ],
    [],
    [
      {
        "heading": "Fill in the blanks.",
        "qus": "The formula to find the perimeter of a square is ________.",
        "ans": "4 × length",
        "code": "FIB",
        "val": 1
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If the area of a rectangle is 250 cm2 and its length is 10 cm, then its breadth is will be ________.",
        "ans": "25 cm",
        "code": "FIB",
        "val": 2
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The formula to find the perimeter of rectangle 15 ________.",
        "ans": "2(length+breadth)",
        "code": "FIB",
        "val": 3
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "If length of side of a square is 5 cm, then its area will be ________.",
        "ans": "25 cm<sup>2</sup>",
        "code": "FIB",
        "val": 4
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Formula to find the area of a triangle is ________.",
        "ans": "½ × b × h",
        "code": "FIB",
        "val": 5
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "An area of parallelogram having length 4 cm and height 2 cm will be ________.",
        "ans": "8 cm",
        "code": "FIB",
        "val": 6
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Area of parallelogram = ________.",
        "ans": "l × b",
        "code": "FIB",
        "val": 7
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "All the congruent triangles are ________ in area but the triangles equal in ________ need not be congruent.",
        "ans": "equal, area",
        "code": "FIB",
        "val": 8
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Area of a triangle, having length 4 cm and height 3 cm, is ________.",
        "ans": "6 cm",
        "code": "FIB",
        "val": 9
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The distance around a circular region is known as its ________.",
        "ans": "circumference",
        "code": "FIB",
        "val": 10
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The ratio of circumference to the diameter of a circle is denoted by ________.",
        "ans": "π",
        "code": "FIB",
        "val": 11
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The approximate value of π (pi) is ________.",
        "ans": "3.14",
        "code": "FIB",
        "val": 12
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The ratio of diameter to radius is ________.",
        "ans": "2:1",
        "code": "FIB",
        "val": 13
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The formula to find the circumference of a circle is ________.",
        "ans": "2πr",
        "code": "FIB",
        "val": 14
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "1 cm is equal to area of 100 squares, each of side ________.",
        "ans": "1 mm",
        "code": "FIB",
        "val": 15
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "1 m<sup>2</sup> = ________ cm<sup>2</sup>.",
        "ans": "10,000",
        "code": "FIB",
        "val": 16
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "10,000 m<sup>2</sup> = ________ hectare.",
        "ans": "1",
        "code": "FIB",
        "val": 17
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "1000 cm<sup>2</sup> = ________ mm<sup>2</sup>.",
        "ans": "100,000",
        "code": "FIB",
        "val": 18
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "1 hectare = ________ m<sup>2</sup>.",
        "ans": "10,000",
        "code": "FIB",
        "val": 19
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The distance around a circle is its ________.",
        "ans": "circumference",
        "code": "FIB",
        "val": 20
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The radius of a circle, whose area is 81 π is ________.",
        "ans": "9",
        "code": "FIB",
        "val": 21
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "Area of a square side of 5 m is equal to the area of ________ squares of each side 1 m.",
        "ans": "25",
        "code": "FIB",
        "val": 22
      },
      {
        "heading": "Fill in the blanks.",
        "qus": "The value of π is ________ approximately.",
        "ans": "3.14",
        "code": "FIB",
        "val": 23
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [
      {
        "heading": "Answer the following questions.",
        "qus": "The length and breadth of a rectangular piece of land are 200 m and 400 m, respectively. Find<br>(i) its area",
        "ans": "Area of rectangle = l × b<br>= 200 × 400<br>= 80000 m<sup>2</sup>",
        "code": "AFQ",
        "options": null,
        "val": 1,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The length and breadth of a rectangular piece of land are 200 m and 400 m, respectively. Find<br>(ii) cost of the land, if 1 m<sup>2</sup> of the land costs ₹ 5000.",
        "ans": "for 1 m<sup>2</sup> = ₹ 5000<br>80000 m<sup>2</sup> = ?<br>= 80000 × 5000 = ₹ 400,000,000",
        "code": "AFQ",
        "options": null,
        "val": 2,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the area of a square park whose perimeter is 800 m.",
        "ans": "img src='ch11a1a.jpg', width=\"240\", height=\"186\"",
        "code": "AFQ",
        "options": null,
        "val": 3,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a1a.jpg",
          "width": "240",
          "height": "186"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the breadth of a rectangular plot of land, if its area is 320 m<sup>2</sup> and its length is 80 m. Also find its perimeter.",
        "ans": "img src='ch11a2a.jpg', width=\"262\", height=\"160\"",
        "code": "AFQ",
        "options": null,
        "val": 4,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a2a.jpg",
          "width": "262",
          "height": "160"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The perimeter of a rectangular sheet is 200 cm. If the length is 40 cm, find its breadth. Also find the area.",
        "ans": "img src='ch11a3a.jpg', width=\"303\", height=\"271\"",
        "code": "AFQ",
        "options": null,
        "val": 5,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a3a.jpg",
          "width": "303",
          "height": "271"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 80 m, find the breadth as well as the perimeter of the park.",
        "ans": "img src='ch11a4a.jpg', width=\"528\", height=\"325\"",
        "code": "AFQ",
        "options": null,
        "val": 6,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a4a.jpg",
          "width": "528",
          "height": "325"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A wire is in the shape of a rectangle. Its length is 32 cm and breadth is 20 cm. If the same wire is rebent in the shape of square, what will be the measure of each side? Also find which shape encloses more area.",
        "ans": "img src='ch11a5a.jpg', width=\"506\", height=\"269\"",
        "code": "AFQ",
        "options": null,
        "val": 7,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a5a.jpg",
          "width": "506",
          "height": "269"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The perimeter of a rectangle is 150 cm. If its breadth is 45 cm, find its length. Also find the area.",
        "ans": "img src='ch11a6a.jpg', width=\"234\", height=\"192\"",
        "code": "AFQ",
        "options": null,
        "val": 8,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a6a.jpg",
          "width": "234",
          "height": "192"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                            ",
        "ans": "img src='ch11a7a.jpg', width=\"327\", height=\"354\"",
        "code": "AFQ",
        "options": null,
        "val": 9,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a7q.jpg",
          "width": "611",
          "height": "215"
        },
        "ansimg": {
          "image": "ch11a7a.jpg",
          "width": "327",
          "height": "354"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                             ",
        "ans": "Area of parallelogram = base × height<br>= b × h = 4 × 8<br>Area = 32 cm<sup>2</sup>",
        "code": "AFQ",
        "options": null,
        "val": 10,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a8q.jpg",
          "width": "286",
          "height": "97"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                              ",
        "ans": "Area of parallelogram = b × h<br>= 6 × 5<br>Area = 30 cm<sup>2</sup>",
        "code": "AFQ",
        "options": null,
        "val": 11,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a9q.jpg",
          "width": "286",
          "height": "97"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "Area of parallelogram = b × h<br>= 5 × 4.2<br>= 21 cm<sup>2</sup>",
        "code": "AFQ",
        "options": null,
        "val": 12,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a10q.jpg",
          "width": "286",
          "height": "115"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                ",
        "ans": "Area of parallelogram = b × h<br>= 3.8 × 2<br>7.6 cm<sup>2</sup>",
        "code": "AFQ",
        "options": null,
        "val": 13,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a11q.jpg",
          "width": "286",
          "height": "115"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "img src='ch11a12a.jpg', width=\"578\", height=\"259\"",
        "code": "AFQ",
        "options": null,
        "val": 14,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a12q.jpg",
          "width": "536",
          "height": "143"
        },
        "ansimg": {
          "image": "ch11a12a.jpg",
          "width": "578",
          "height": "259"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "img src='ch11a13a.jpg', width=\"397\", height=\"145\"",
        "code": "AFQ",
        "options": null,
        "val": 15,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a13q.jpg",
          "width": "398",
          "height": "159"
        },
        "ansimg": {
          "image": "ch11a13a.jpg",
          "width": "397",
          "height": "145"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "img src='ch11a14a.jpg', width=\"348\", height=\"108\"",
        "code": "AFQ",
        "options": null,
        "val": 16,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a14q.jpg",
          "width": "350",
          "height": "129"
        },
        "ansimg": {
          "image": "ch11a14a.jpg",
          "width": "348",
          "height": "108"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch11a15a.jpg', width=\"451\", height=\"149\"",
        "code": "AFQ",
        "options": null,
        "val": 17,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a15q.jpg",
          "width": "574",
          "height": "122"
        },
        "ansimg": {
          "image": "ch11a15a.jpg",
          "width": "451",
          "height": "149"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "img src='ch11a16a.jpg', width=\"559\", height=\"157\"",
        "code": "AFQ",
        "options": null,
        "val": 18,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a16q.jpg",
          "width": "570",
          "height": "43"
        },
        "ansimg": {
          "image": "ch11a16a.jpg",
          "width": "559",
          "height": "157"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch11a17a.jpg', width=\"493\", height=\"283\"",
        "code": "AFQ",
        "options": null,
        "val": 19,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a17q.jpg",
          "width": "572",
          "height": "43"
        },
        "ansimg": {
          "image": "ch11a17a.jpg",
          "width": "493",
          "height": "283"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                       ",
        "ans": "img src='ch11a18a.jpg', width=\"521\", height=\"159\"",
        "code": "AFQ",
        "options": null,
        "val": 20,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a18q.jpg",
          "width": "418",
          "height": "40"
        },
        "ansimg": {
          "image": "ch11a18a.jpg",
          "width": "521",
          "height": "159"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                        ",
        "ans": "img src='ch11a19a.jpg', width=\"422\", height=\"240\"",
        "code": "AFQ",
        "options": null,
        "val": 21,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a19q.jpg",
          "width": "364",
          "height": "54"
        },
        "ansimg": {
          "image": "ch11a19a.jpg",
          "width": "422",
          "height": "240"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                         ",
        "ans": "img src='ch11a20a.jpg', width=\"381\", height=\"105\"",
        "code": "AFQ",
        "options": null,
        "val": 22,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a20q.jpg",
          "width": "508",
          "height": "54"
        },
        "ansimg": {
          "image": "ch11a20a.jpg",
          "width": "381",
          "height": "105"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                          ",
        "ans": "img src='ch11a21a.jpg', width=\"441\", height=\"174\"",
        "code": "AFQ",
        "options": null,
        "val": 23,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a21q.jpg",
          "width": "575",
          "height": "50"
        },
        "ansimg": {
          "image": "ch11a21a.jpg",
          "width": "441",
          "height": "174"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "From a circular sheet of radius 6 cm, a circle of radius 4 cm is removed. Find the area of the remaining sheet.<br>(Take π = 3.14).",
        "ans": "img src='ch11a22a.jpg', width=\"545\", height=\"216\"",
        "code": "AFQ",
        "options": null,
        "val": 24,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a22a.jpg",
          "width": "545",
          "height": "216"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Darshan wants to put a lace on the edge of a circular table cover of diameter 2.4 m. Find the length of the lace required and also find its cost if one metre of the lace costs 11 rupees. (Take π = 3.14).",
        "ans": "img src='ch11a23a.jpg', width=\"380\", height=\"177\"",
        "code": "AFQ",
        "options": null,
        "val": 25,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a23a.jpg",
          "width": "380",
          "height": "177"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                           ",
        "ans": "img src='ch11a24a.jpg', width=\"410\", height=\"156\"",
        "code": "AFQ",
        "options": null,
        "val": 26,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a24q.jpg",
          "width": "550",
          "height": "111"
        },
        "ansimg": {
          "image": "ch11a24a.jpg",
          "width": "410",
          "height": "156"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Find the cost of polishing a circular table top of diameter 3.2 m, if the rate of polishing is ₹20/m<sup>2</sup> (Take π = 3.14).",
        "ans": "img src='ch11a25a.jpg', width=\"282\", height=\"153\"",
        "code": "AFQ",
        "options": null,
        "val": 27,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a25a.jpg",
          "width": "282",
          "height": "153"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                            ",
        "ans": "img src='ch11a26a.jpg', width=\"377\", height=\"281\"",
        "code": "AFQ",
        "options": null,
        "val": 28,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a26q.jpg",
          "width": "570",
          "height": "78"
        },
        "ansimg": {
          "image": "ch11a26a.jpg",
          "width": "377",
          "height": "281"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A circle of radius 3 cm is cut out from a square piece of an aluminium sheet of side 7 cm. What is the area left over aluminium sheet? (Take. π = 3.14).",
        "ans": "img src='ch11a27a.jpg', width=\"363\", height=\"95\"",
        "code": "AFQ",
        "options": null,
        "val": 29,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a27a.jpg",
          "width": "363",
          "height": "95"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                             ",
        "ans": "img src='ch11a28a.jpg', width=\"194\", height=\"147\"",
        "code": "AFQ",
        "options": null,
        "val": 30,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a28q.jpg",
          "width": "496",
          "height": "36"
        },
        "ansimg": {
          "image": "ch11a28a.jpg",
          "width": "194",
          "height": "147"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A circular flower bed is surrounded by a path 8 m wide. The diameter of the flower bed is 62 m. What is the area of this path? (π = 3.14)",
        "ans": "img src='ch11a29a.jpg', width=\"552\", height=\"176\"",
        "code": "AFQ",
        "options": null,
        "val": 31,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a29a.jpg",
          "width": "552",
          "height": "176"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A circular flower garden has an area of 628 m<sup>2</sup>. A sprinkler at the centre of the garden can cover an area that has radius of 24 m. Will the sprinkler water the entire garden? (π = 3.14)",
        "ans": "Area of circular garden = 628 m<sup>2</sup><br>Radius of sprinkler = 24 m<br>To check whether sprinkler waters the whole garden<br>Area of sprinkler waters = πr<sup>2</sup> = π(24)<sup>2</sup> = 3.14 × 24 × 24 =1808.64 m<sup>2</sup><br>Here, the area of sprinkler waters is greater than the area of flower garden. Here, the sprinkler will water the whole garden.",
        "code": "AFQ",
        "options": null,
        "val": 32,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                              ",
        "ans": "img src='ch11a30a.jpg', width=\"322\", height=\"227\"",
        "code": "AFQ",
        "options": null,
        "val": 33,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a30q.jpg",
          "width": "523",
          "height": "161"
        },
        "ansimg": {
          "image": "ch11a30a.jpg",
          "width": "322",
          "height": "227"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                               ",
        "ans": "img src='ch11a31a.jpg', width=\"356\", height=\"85\"",
        "code": "AFQ",
        "options": null,
        "val": 34,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a31q.jpg",
          "width": "461",
          "height": "36"
        },
        "ansimg": {
          "image": "ch11a31a.jpg",
          "width": "356",
          "height": "85"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The minute hand of a circular clock is 20 cm long. How far does the tip of the minute hand move in 1 hour? (Take π = 3.14)",
        "ans": "img src='ch11a32a.jpg', width=\"544\", height=\"170\"",
        "code": "AFQ",
        "options": null,
        "val": 35,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a32a.jpg",
          "width": "544",
          "height": "170"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A garden is 70 m long and 45 m broad. A path 4 m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare.",
        "ans": "img src='ch11a33a.jpg', width=\"591\", height=\"332\"",
        "code": "AFQ",
        "options": null,
        "val": 36,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a33a.jpg",
          "width": "591",
          "height": "332"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A 5 m wide path runs outside and around a rectangular park of length 100 m and breadth 65 m. Find the area of the path.",
        "ans": "img src='ch11a34a.jpg', width=\"562\", height=\"122\"",
        "code": "AFQ",
        "options": null,
        "val": 37,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a34a.jpg",
          "width": "562",
          "height": "122"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A picture is painted on a cardboard 10 cm long and 6 cm wide such that there is a margin of 2 cm along each of its sides. Find the total area of the margin.",
        "ans": "img src='ch11a36a.jpg', width=\"534\", height=\"173\"",
        "code": "AFQ",
        "options": null,
        "val": 38,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a36a.jpg",
          "width": "534",
          "height": "173"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A verandah of width 3.25 m is constructed all along outside a room which is 6.5 m long and 3 m wide. Find:<br> (i) The area of the verandah<br>(ii) The cost of cementing the floor of the verandah at the rate of ₹ 250 /m<sup>2</sup>.",
        "ans": "img src='ch11a37a.jpg', width=\"564\", height=\"206\"",
        "code": "AFQ",
        "options": null,
        "val": 39,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a37a.jpg",
          "width": "564",
          "height": "206"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A path 2 m wide is built along the border and inside a square garden of side 40 m. Find:<br>(i) the area of the path<br>(ii) the cost of planting grass in the remaining portion of the garden at the rate of ₹ 50 per m<sup>2</sup>.",
        "ans": "img src='ch11a38a.jpg', width=\"544\", height=\"148\"",
        "code": "AFQ",
        "options": null,
        "val": 40,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a38a.jpg",
          "width": "544",
          "height": "148"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "Two crossroads, each of width 5 m, cut at right angles through the centre of a rectangular park of length 500 m and breadth 200 m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.",
        "ans": "img src='ch11a39a.jpg', width=\"569\", height=\"417\"",
        "code": "AFQ",
        "options": null,
        "val": 41,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a39a.jpg",
          "width": "569",
          "height": "417"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                ",
        "ans": "img src='ch11a40a.jpg', width=\"509\", height=\"364\"",
        "code": "AFQ",
        "options": null,
        "val": 42,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a40q.jpg",
          "width": "574",
          "height": "95"
        },
        "ansimg": {
          "image": "ch11a40a.jpg",
          "width": "509",
          "height": "364"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                 ",
        "ans": "Circumference of circle = length of cord wrapped around circle of (r = 5 cm)<br>= 2πr = 2 × 3.14 × 5 = 31.4 cm<br>Perimeter of square of side 5 cm = 4 × 5 = 20 cm<br>∴ Length of the cord with Adtiya = Circumference of circle – Perimeter of square<br>= 31.4 – 25 = 6.4 cm",
        "code": "AFQ",
        "options": null,
        "val": 43,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a41q.jpg",
          "width": "568",
          "height": "155"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ",
        "ans": "img src='ch11a42a.jpg', width=\"554\", height=\"155\"",
        "code": "AFQ",
        "options": null,
        "val": 44,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a42q.jpg",
          "width": "582",
          "height": "132"
        },
        "ansimg": {
          "image": "ch11a42a.jpg",
          "width": "554",
          "height": "155"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                   ",
        "ans": "img src='ch11a43a.jpg', width=\"388\", height=\"130\"",
        "code": "AFQ",
        "options": null,
        "val": 45,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a43q.jpg",
          "width": "312",
          "height": "163"
        },
        "ansimg": {
          "image": "ch11a43a.jpg",
          "width": "388",
          "height": "130"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ",
        "ans": "img src='ch11a44a.jpg', width=\"530\", height=\"209\"",
        "code": "AFQ",
        "options": null,
        "val": 46,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a44q.jpg",
          "width": "382",
          "height": "41"
        },
        "ansimg": {
          "image": "ch11a44a.jpg",
          "width": "530",
          "height": "209"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "The perimeter of a rectangle is 120 cm. Its length is four metre less than five times its breadth. Find the area of the rectangle.",
        "ans": "img src='ch11a45a.jpg', width=\"244\", height=\"276\"",
        "code": "AFQ",
        "options": null,
        "val": 47,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a45a.jpg",
          "width": "244",
          "height": "276"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A wall of a room is of dimensions 6 × 6 m. It has a window of dimensions 1.5 m × 1.5 m and door of dimension 3 × 2 m. Find the area of the wall which is to be painted.",
        "ans": "Dimensions of wall = 6 m × 6 m = 36 m<sup>2</sup><br>Dimensions of window =1.5 m × 1.5 m = 2.25 m<sup>2</sup><br>Dimensions of door = 3 m × 2 m = 6 m<sup>2</sup><br>Area of wall to be painted = Area of wall – Area of window – Area of door<br>= (6 × 6) – (1.5 × 1.5) – (3 × 2)<br>= 36 – 2.25 – 6<br>= 36 – 8.25<br>= 27.75 m",
        "code": "AFQ",
        "options": null,
        "val": 48,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ",
        "ans": "Area in the enclosed figure = Area of rectangle + Area of semicircle<br>Here sides of rectangle are l = 12 cm, b = 2 cm<br>Radius of circle = 2 cm<br>Total area = (l × b) + πr<sup>2</sup><br>= (12 × 2) + 3.14 (2)<sup>2</sup><br>= 24 + 12.56<br>= 36.56 cm<sup>2</sup>",
        "code": "AFQ",
        "options": null,
        "val": 49,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a46q.jpg",
          "width": "574",
          "height": "120"
        },
        "ansimg": {
          "image": null,
          "width": null,
          "height": null
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A circular pond is surrounded by a 3 m wide path. The diameter of the pond is 100 m. How much will it cost to paint the circular path if the cost per metre is ₹ 20?",
        "ans": "img src='ch11a47a.jpg', width=\"473\", height=\"311\"",
        "code": "AFQ",
        "options": null,
        "val": 50,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a47a.jpg",
          "width": "473",
          "height": "311"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "A rectangular field is 24 m long and 12 m wide. How many right triangular flower beds can be laid in this field if the sides including the right angle measure 3 m × 12 m, respectively?",
        "ans": "img src='ch11a48a.jpg', width=\"318\", height=\"281\"",
        "code": "AFQ",
        "options": null,
        "val": 51,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": null,
          "width": null,
          "height": null
        },
        "ansimg": {
          "image": "ch11a48a.jpg",
          "width": "318",
          "height": "281"
        }
      },
      {
        "heading": "Answer the following questions.",
        "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ",
        "ans": "img src='ch11a49a.jpg', width=\"326\", height=\"212\"",
        "code": "AFQ",
        "options": null,
        "val": 52,
        "option1": [],
        "option2": [],
        "option3": [],
        "option4": [],
        "aoption1": [],
        "aoption2": [],
        "aoption3": [],
        "aoption4": null,
        "pic": {
          "image": "ch11a49q.jpg",
          "width": "569",
          "height": "177"
        },
        "ansimg": {
          "image": "ch11a49a.jpg",
          "width": "326",
          "height": "212"
        }
      }
    ],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    [],
    []
  ],
  "grade": "Grade 7",
  "co": "ch11_co",
  "fib": "ch11_fib",
  "mtf": "ch11_mtf",
  "mcq": "ch11_mcq",
  "saq": "ch11_saq",
  "vsaq": "ch11_vsaq",
  "laq": "ch11_laq",
  "tf": "ch11_tf",
  "nf": "ch11_nf",
  "yn": "ch11_yn",
  "afq": "ch11_afq",
  "pbq": "ch11_pbq",
  "gowf": "ch11_gowf",
  "afow": "ch11_afow",
  "cs": "ch11_cs",
  "ctco": "ch11_ctco",
  "map": "ch11_map",
  "dtf": "ch11_dtf",
  "grf": "ch11_grf",
  "snc": "ch11_snc",
  "jtf": "ch11_jtf",
  "ctt": "ch11_ctt",
  "un": "ch11_un"
},
{
 "subject": "Math",
 "chapter": "ch12",
 "chapterName": "Chapter 12 - Visualising Solid Shapes",
 "all": [
  [{
   "heading": "Multiple Choice Question.",
   "qus": "Which of the following pairs are of like terms?",
   "ans": "(c) 2a , 5a",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 7x, 2y", "(b) 5x, 5a", "(c) 2a , 5a", "(d) 6, 6p"],
   "val": 1
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "Coefficient of the term –5x<sup>2</sup>y<sup>3</sup> is",
   "ans": "(c) –5",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) –1", "(b) 5", "(c) –5", "(d) –5x<sup>2</sup>"],
   "val": 2
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "How many terms are there in the expression mx + m + 2?",
   "ans": "(c) c",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 1", "(b) 2", "(c) c", "(d) 4"],
   "val": 3
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "How many terms are there in the expression 4x – 5y + 2xy + 4 which are not constant?",
   "ans": "(c) 3",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 1", "(b) 2", "(c) 3", "(d) 4"],
   "val": 4
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "If a natural number is denoted by n, its successor is",
   "ans": "(c) n + 1",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) n<sup>2</sup>", "(b) n − 1", "(c) n + 1", "(d) n + 2"],
   "val": 5
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "For a pattern 2, 4, 6, 8, ______________ the number occurring at 12th position is",
   "ans": "(c) 24",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 20", "(b) 22", "(c) 24", "(d) 26"],
   "val": 6
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "______________ number of diagonals can be drawn from one vertex of a polygon of n sides.",
   "ans": "(a) n − 3",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) n − 3", "(b) n − 2", "(c) n", "(d) n + 1"],
   "val": 7
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "For a triangle having base = b and height = h area is",
   "ans": null,
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
  "options": ["ch12b1.jpg"],
   "val": 8,
    "ansimg": {
   "image": "ch12b1a.jpg",
    "width": "51",
    "height": "40"
    
   }
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "Number of terms in the expression 2a<sup>2</sup> + 3b<sup>2</sup> –2ab + 3 is",
   "ans": "(d) 4",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 1", "(b) 2", "(c) 3", "(d) 4"],
   "val": 9
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "Factors of – 4x<sup>2</sup>y z are______________",
   "ans": "(b) –4 × x × x × y × z",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) –4 × x × x × y", "(b) –4 × x × x × y × z", "(c) –4 × x × y × z", "(d) –4 × x × x × z"],
   "val": 10
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "Coefficent of a in – 10b<sup>2</sup>ca is",
   "ans": "(d) - 10b<sup>2</sup>c",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) –10", "(b) 10", "(c) –10b<sup>2</sup>", "(d) - 10b<sup>2</sup>c"],
   "val": 11
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "The subtraction of 6 times of x from y is",
   "ans": "(c) y – 6x",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) x – 6y", "(b) 6x – y", "(c) y – 6x", "(d) 6y – x"],
   "val": 12
  },
  {
   "heading": "Multiple Choice Question.",
   "qus": "The side length of the top of square table is a. The expression for perimeter is",
   "ans": "(c) 4a",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 4 + a", "(b) 2a", "(c) 4a", "(d) 8a"],
   "val": 13
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "The value of 2x<sup>2</sup> +3x – 5, when x = 1 is",
   "ans": "(d) 0",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 1", "(b) 2", "(c) 3", "(d) 0"],
   "val": 14
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "The length of a side of square is given as x + 2. Which expression represents the perimeter of the square?",
   "ans": "(c) 4x + 8",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 4x + 2", "(b) x<sup>2</sup> + 4", "(c) 4x + 8", "(d) 3x + 6"],
   "val": 15
  }],
  [{
   "heading": "State True or False.",
   "qus": "\n\t\t200 and 100 are like terms.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 1
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t–25y and 2y are unlike terms.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 2
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t2x<sup>2</sup>y and –x<sup>2</sup>y are like terms.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 3
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tAn expression which contains three terms is called a trinomial.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 4
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tx + y + 5 is a trinomial.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 5
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tSum of 2x + 3 and x – 1 is 3x + 2.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 6
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tSum of x<sup>2</sup> + 2 and x + 5 is 2x<sup>2</sup> + 7.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 7
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tSubtraction of 2a<sup>2</sup> + 2ab from 3a<sup>2</sup> + 5ab is a<sup>2</sup> + 3ab.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 8
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tSubtraction of xy from (2xy + 9) is xy + 9 \n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 9
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tIf x = 1 and y = –1, then<br>the value of expression x<sup>3</sup> + y<sup>2</sup> + xy is 1\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 10
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t15 + 3a – 10 gives 15 at a = 5\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 11
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tValue of expression x<sup>2</sup> + 2x − 3 is 0 for x = – 3\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 12
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tValue of m is 1 if x<sup>2</sup> + mx − 2 = 0.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 13
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t 2 + a/3 + a<sup>2</sup> is a polynomial.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 14
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t (5x + 3y – 1) – (2x + 3y) is a binomial.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 15
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t A polynomial with more than two terms is a trinomial. \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 16
  },
  {
   "heading": "State True or False.",
   "qus": "\n\t\t Sum of 3 and x is 3x.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 17
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t In like terms, variables and their powers are the same.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 18
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t Subtracting a term from a given expression is the same as adding its additive inverse to given expression.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 19
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t If we add a monomial and binomial, then answer can never be a monomial.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 20
  }
  ],
  [],
  [{
   "heading": "Fill in the blanks.",
   "qus": "A Constant has a ________ value.",
   "ans": "fixed",
   "code": "FIB",
   "val": 1
  }, {
   "heading": "Fill in the blanks.",
   "qus": "________ are added to form expressions..",
   "ans": "Terms",
   "code": "FIB",
   "val": 2
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Factors of the term 4xy are ________ , ________ and ________.",
   "ans": "4 , x ; y",
   "code": "FIB",
   "val": 3
  }, {
   "heading": "Fill in the blanks.",
   "qus": "The numerical factor is said to be the ________ of the term.",
   "ans": "coefficient",
   "code": "FIB",
   "val": 4
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Terms having same algebraic factors are ________ terms.",
   "ans": "like",
   "code": "FIB",
   "val": 5
  }, {
   "heading": "Fill in the blanks.",
   "qus": " For x = 1, &emsp;&emsp;&emsp;x + 3 =________",
   "ans": "4",
   "code": "FIB",
   "val": 6
  }, {
   "heading": "Fill in the blanks.",
   "qus": "For a = 5, &emsp;&emsp;&emsp;a<sub>2</sub> − 4 = ________",
   "ans": "21",
   "code": "FIB",
   "val": 7
  }, {
   "heading": "Fill in the blanks.",
   "qus": "For P = ( – 2), &emsp;&emsp;&emsp;P<sub>2</sub> + 2 = ________",
   "ans": "6",
   "code": "FIB",
   "val": 8
  }, {
   "heading": "Fill in the blanks.",
   "qus": "For a = 1 and b = 2, a<sub>2</sub> − b<sub>2</sub> = ________",
   "ans": "–3",
   "code": "FIB",
   "val": 9
  }, {
   "heading": "Fill in the blanks.",
   "qus": "For x = 2, x<sub>3</sub> – x<sub>2</sub> + x = ________",
   "ans": "6",
   "code": "FIB",
   "val": 10
  }, {
   "heading": "Fill in the blanks.",
   "qus": " Perimeter of an equilateral triangle having length l is ________.",
   "ans": "3l",
   "code": "FIB",
   "val": 11
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Perimeter of a square =  ________ × length of side.",
   "ans": "4",
   "code": "FIB",
   "val": 12
  }, {
   "heading": "Fill in the blanks.",
   "qus": " Perimeter of a ________ = 5<u>l</u>; where l = length of each edge of pentagon.",
   "ans": "regular pentagon",
   "code": "FIB",
   "val": 13
  }, {
   "heading": "Fill in the blanks.",
   "qus": " For a rectangle having length = l and breadth = b area =________.",
   "ans": "l b",
   "code": "FIB",
   "val": 14
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Area of a square having length = 3 cm is  ________.",
   "ans": "9 cm<sup>2</sup>",
   "code": "FIB",
   "val": 15
  }, {
   "heading": "Fill in the blanks.",
   "qus": " An algebraic expression having one or more terms with non-negative integral exponents of the variables is called ________.",
   "ans": "polynomials",
   "code": "FIB",
   "val": 16
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Sum or difference of two like terms is ________",
   "ans": "like term",
   "val": 17
  }, {
   "heading": "Fill in the blanks.",
   "qus": " 5x<sup>2</sup>y and –4y<sup>2</sup>x are ________ terms.",
   "ans": "unlike",
   "code": "FIB",
   "val": 18
  }, {
   "heading": "Fill in the blanks.",
   "qus": " In the expression 2πr, the algebraic variable is ________.",
   "ans": "r",
   "code": "FIB",
   "val": 19
  }, {
   "heading": "Fill in the blanks.",
   "qus": "The expression 21+30 is ________ terms. ",
   "ans": "constant",
   "code": "FIB",
   "val": 20
  }, {
   "heading": "Fill in the blanks.",
   "qus": " The speed of car is 70 km/h. The distance covered in x hours is ________.",
   "ans": "70x km",
   "code": "FIB",
   "val": 21
  }, {
   "heading": "Fill in the blanks.",
   "qus": "– a – b – c is same as – a – ________.",
   "ans": "(b+c)",
   "code": "FIB",
   "val": 22
  }],
  [],
  [],
  [],
  [],
  [],
  [],
  [{
   "heading": "Answer the following questions.",
   "qus": "Get the algebraic expression in the following cases of variables, constants and arithmetic operation:<br>&nbsp;&nbsp;&nbsp;&nbsp;(i) Subtraction of m from n.<br>&nbsp;&nbsp;&nbsp;&nbsp;(ii) One-third of the sum of numbers x and y.<br>&nbsp;&nbsp;&nbsp;&nbsp; (iii) The number P multiplied by itself.<br>&nbsp;&nbsp;&nbsp;&nbsp;(iv) One-fifth of the products of the numbers m and n.<br>&nbsp;&nbsp;&nbsp;&nbsp;(v) Numbers a and b both squared and added.<br>&nbsp;&nbsp;&nbsp;&nbsp; (vi) Number 4 subtracted from two times the product of numbers x and y.<br>&nbsp;&nbsp;&nbsp;&nbsp;(vii) Product of numbers p and q added to 9.<br>&nbsp;&nbsp;&nbsp;&nbsp;(viii) Sum of numbers m and n subtracted from their product.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 1,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
   "image": "ch12c1a.jpg",
    "width": "400",
    "height": "44"
    
   }
  }, 
  
  {
   "heading": "Answer the following questions.",
   "qus": "Identify the terms and their factors in the following expression.<br> Show the terms and factors by tree diagram.<br>(a) a + 5 (b) x + xy + 2 (c) x<sup>3</sup> + x (d) 7x<sup>2</sup>y – 2xy<sup>2</sup> (e) 2a<sup>2</sup> – 3b<sup>2</sup> + ab",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 2,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch12c2a.jpg",
    "width": "600",
    "height": "292"
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "Identify terms and factors in the expression given below:<br>&nbsp;&nbsp;&nbsp;&nbsp;(a) –2y + 3 &emsp;&emsp;&emsp;&emsp;(b) –3x + 6y &emsp;&emsp;&emsp;&emsp;(c) 2a + 7a<sup>2</sup> &emsp;&emsp;&emsp;&emsp;(d) mn + 5m<sup>2</sup>n &emsp;&emsp;&emsp;&emsp;(e) 5p + q &emsp;&emsp;&emsp;&emsp;(f) 2.1 x – 5.2y",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 3,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch12c3a.jpg",
    "width": "535",
    "height": "178"
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "Identify the numerical coefficients at terms in the following expressions.<br>(i) 6a<sup>2</sup> + 2 &emsp;&emsp;&emsp;&emsp;(ii) 2 + x + x<sup>2</sup> + x<sup>3</sup> &emsp;&emsp;&emsp;&emsp;(iii) a + 4b + 3ab &emsp;&emsp;&emsp;&emsp;(iv) 500p + 600q &emsp;&emsp;&emsp;&emsp;(v) −x<sup>2</sup> y<sup>2</sup> + 2 x<sup>2</sup>y<br>(vi) 7.4a + 1.2b &emsp;&emsp;&emsp;&emsp;(vii) 22.13b<sup>2</sup> &emsp;&emsp;&emsp;&emsp;(viii) 3(a+b) &emsp;&emsp;&emsp;&emsp;(ix) 2.2b + 0.2b<sup>2</sup>",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 4,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
    "image": "ch12c4a.jpg",
    "width": "572",
    "height": "504"
   }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "Identify terms which contain x and give the coefficient of x.<br> &nbsp;&nbsp;&nbsp;&nbsp;(i) 2x + y &emsp;&emsp;&emsp;&emsp;(ii) 12y2 −3xy &emsp;&emsp;&emsp;&emsp;(iii) y − x + 2 &emsp;&emsp;&emsp;&emsp;(iv) 3 + b + bx <br>&nbsp;&nbsp;&nbsp;&nbsp;(v) 7 − x + 2x &emsp;&emsp;&emsp;&emsp;(vi) 12 + 10 x8 y2 &emsp;&emsp;&emsp;&emsp;(vii) − 5x + xz2",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 5,
   "ansimg": {
    "image": "ch12c5a.jpg",
    "width": "565",
   "height": "264"}
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Identify like terms in the following –x<sup>2</sup>y<sup>2</sup>, –2xy, 4y<sup>2</sup>, 5x<sup>2</sup>y<sup>2</sup>, 5z, xy, 5y<sup>2</sup>, –yx, 50x<sup>2</sup>y<sup>2</sup>, 11z, 3y<sup>2</sup>",
   "ans": "(i) –x<sup>2</sup>y<sup>2</sup>, 5x<sup>2</sup>y<sup>2</sup>, 50x<sup>2</sup>y<sup>2</sup> &emsp;&emsp;&emsp;&emsp;(ii) –2xy, xy, –yx &emsp;&emsp;&emsp;&emsp;(iii) 4y<sup>2</sup>, 5y<sup>2</sup>, 3y<sup>2</sup> &emsp;&emsp;&emsp;&emsp;(iv) 5z, 11z",
   "code": "AFQ",
   "options": null,
   "val": 6
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "Identify terms contain y2 and give the coefficient of y2.<br> (i) 10 – x<sup>2</sup>y<sup>2</sup> (ii) 8y<sup>2</sup> + 2x (iii) 2xy − 9xy<sup>2</sup>.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 7,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
    "image": "ch12c6a.jpg",
    "width": "550",
    "height": "101"
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "Classify into monomials, binomials and trinomials.<br> &nbsp;&nbsp;&nbsp;&nbsp;(i) 2a – 7b &emsp;&emsp;&emsp;&emsp;(ii) z<sup>3</sup> &emsp;&emsp;&emsp;&emsp;(iii) a + b + 3c &emsp;&emsp;&emsp;&emsp;(iv) 500 (v) xy – x<sup>2</sup> – y<sup>2</sup> &emsp;&emsp;&emsp;&emsp;(vi) 11 – 6p <br>&nbsp;&nbsp;&nbsp;&nbsp;(vii) 5x<sup>2</sup>y – 5y<sup>2</sup>x &emsp;&emsp;&emsp;&emsp;(viii) 70pq &emsp;&emsp;&emsp;&emsp;(ix) x<sup>2</sup> – 2x + 4 &emsp;&emsp;&emsp;&emsp;(x) x<sup>2</sup> + y<sup>2</sup> &emsp;&emsp;&emsp;&emsp;(xi) a<sup>3</sup> + a<sup>2</sup> + a",
   "ans": "(i) Binomial &emsp;&emsp;&emsp;&emsp;(ii) Monomial &emsp;&emsp;&emsp;&emsp;(iii) Trinomial &emsp;&emsp;&emsp;&emsp;(iv) Monomial &emsp;&emsp;&emsp;&emsp;(v) Trinomial &emsp;&emsp;&emsp;&emsp;(vi) Binomial<br>&nbsp;&nbsp;&nbsp;&nbsp;(vii) Binomial &emsp;&emsp;&emsp;&emsp;(viii) Monomial &emsp;&emsp;&emsp;&emsp;(ix) Trinomial &emsp;&emsp;&emsp;&emsp;(x) Binomial &emsp;&emsp;&emsp;&emsp;(xi) Trinomial",
   "code": "AFQ",
   "options": null,
   "val": 8,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  
  
  {
   "heading": "Answer the following questions.",
   "qus": "State whether a given pair of terms is of like or unlike term.",
   "ans": "(i) Like terms &emsp;&emsp;&emsp;&emsp;(ii) Like terms &emsp;&emsp;&emsp;&emsp;(iii) Unlike terms &emsp;&emsp;&emsp;&emsp;(iv) Like terms &emsp;&emsp;&emsp;&emsp;(v) Unlike terms &emsp;&emsp;&emsp;&emsp;(vi) Unlike terms",
   "code": "AFQ",
   "options": null,
   "val": 9,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch12c7.jpg",
    "width": "600",
    "height": "39"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify combining like terms<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2a − 21 + 5a + 10",
   "ans": " 2a − 21 + 5a + 10 <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2a + 5a − 21 + 10<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 7a − 11",
   "code": "AFQ",
   "options": null,
   "val": 10
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify combining like terms<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2xy<sup>2</sup> − 3x + 5y<sup>2</sup>x − xy<sup>2</sup> + 5x + 2y<sup>2</sup>x",
   "ans": "2xy<sup>2</sup> − 3x + 5y<sup>2</sup>x − xy<sup>2</sup> + 5x + 2y<sup>2</sup>x <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2xy<sup>2</sup> − xy<sup>2</sup> − 3x + 5x + 5y<sup>2</sup>x + 2y<sup>2</sup>x<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= xy<sup>2</sup> + 2x + 7y<sup>2</sup>x ",
   "code": "AFQ",
   "options": null,
   "val": 11
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify combining like terms<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; − a<sup>3</sup> + 12a<sup>2</sup> − 4a + 8a<sup>2</sup> + 3a<sup>3</sup>",
   "ans": " − a<sup>3</sup> + 12a<sup>2</sup> − 4a + 8a<sup>2</sup> + 3a<sup>3</sup> <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;− a<sup>3</sup> + 3a<sup>3</sup> + 12a<sup>2</sup> + 8a<sup>2</sup> − 4a<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 2a<sup>3</sup> + 20a<sup>2</sup> – 4a",
   "code": "AFQ",
   "options": null,
   "val": 12
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify combining like terms<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (8m<sup>2</sup> − 5m + 9) – (4m2 + 2m + 5)",
   "ans": "(8m<sup>2</sup> − 5m + 9) – (4m<sup>2</sup> + 2m + 5) 8m2 − 5m +9 − 4m2 − 2m − 5<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 4m<sup>2</sup> – 7m + 4",
   "code": "AFQ",
   "options": null,
   "val": 13
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify combining like terms<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; x − (x + y) − x − y − (x − y)",
   "ans": " x − (x + y) − x − y − (x − y)<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x − x – y – x – y – x + y<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= x − x − x − x − y − y + y = –2x –y",
   "code": "AFQ",
   "options": null,
   "val": 14
  },
 
  {
   "heading": "Answer the following questions.",
   "qus": "Add <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  5ab, – 2ab, 3ab, – ab",
   "ans": "5ab, – 2ab, 3ab, – ab <br> 5ab + (–2ab) + 3ab + (–ab)<br> =(5 – 2 + 3 – 1) ab = 5ab",
   "code": "AFQ",
   "options": null,
   "val": 15
   
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Add <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; − pq + 4, 5pq + 1, 3pq − 5, –2pq +8",
   "ans": " − pq + 4, 5pq + 1, 3pq − 5, –2pq +8<br> –pq + 4 + 5pq +1 +3pq–5 − 2pq +8<br> = −pq + 5pq + 3pq − 2pq + 4 +1 − 5+ 8<br> = (− 1 + 5 + 3 − 2) pq + 8 = 5pq + 8 ",
   "code": "AFQ",
   "options": null,
   "val": 16
   
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Add <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x − xy, 2xy + y, x − y ",
   "ans": " x − xy, 2xy + y, x − y  <br>x − xy + 2xy + y + x − y <br>= x + x − xy + 2xy + y − y <br>= 2x + xy",
   "code": "AFQ",
   "options": null,
   "val": 17
   
  },
  
  
  {
   "heading": "Answer the following questions.",
   "qus": "Add <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; m + n − 3, − m + n + 2, m − n − 5",
   "ans": " m + n − 3, − m + n + 2, m − n − 5 <br> m + n − 3 − m + n + 2 + m – n − 5<br>= m − m +m + n + n − n − 3 + 2 − 5 = m + n − 6",
   "code": "AFQ",
   "options": null,
   "val": 18
   
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Add <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 3ab + 2a − 5b + 12, 12ab − 5a + 6b − 11, 4ab ",
   "ans": "3ab + 2a − 5b + 12, 12ab − 5a + 6b − 11, 4ab <br>3ab + 2a − 5b + 12 + 12ab − 5a + 6b − 11 + 4ab<br>= 3ab + 12ab + 2a − 5a − 5b +6b +12 − 11 + 4ab<br>= 19ab − 3a + b + 1",
   "code": "AFQ",
   "options": null,
   "val": 19
   
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Add <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 6a<sup>2</sup>b, − 3ab<sup>2</sup>, 2a<sup>2</sup>b, 5ab<sup>2</sup>",
   "ans": "6a<sup>2</sup>b, − 3ab<sup>2</sup>, 2a<sup>2</sup>b, 5ab<sup>2</sup><br>6a<sup>2</sup>b + 2a<sup>2</sup>b – 3ab<sup>2</sup> + 5ab<sup>2</sup> <br>= 8a<sup>2</sup>b + 2ab<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 20
   
  },

  {
   "heading": "Answer the following questions.",
   "qus": "Subtract <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;–2a<sup>2</sup> from a<sup>2</sup>",
   "ans": "–2a<sup>2</sup> from a<sup>2</sup><br>a<sup>2</sup> − (−2a<sup>2</sup>)<br>= a<sup>2</sup> + 2a<sup>2</sup><br>= 3a<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 21
  },
{
   "heading": "Answer the following questions.",
   "qus": "Subtract <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;− a<sup>2</sup> + 3ab from 3a<sup>2</sup> − ab + 4",
   "ans": "− a<sup>2</sup> + 3ab from 3a<sup>2</sup> − ab + 4<br>3a<sup>2</sup> − ab + 4 – (–a<sup>2</sup> + 3ab)<br>= 3a<sup>2</sup> − ab + 4 + a<sup>2</sup> – 3ab<br>= 4a<sup>2</sup> – 4ab + 4",
   "code": "AFQ",
   "options": null,
   "val": 22
  },
{
   "heading": "Answer the following questions.",
   "qus": "Subtract <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;12mn from − 8mm",
   "ans": "12mn from − 8mm<br>−8mn − (12mn)<br>= −20mn",
   "code": "AFQ",
   "options": null,
   "val": 23
  },
{
   "heading": "Answer the following questions.",
   "qus": "Subtract <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2x<sup>2</sup> + 4x – 6 from –3x + 5",
   "ans": "2x<sup>2</sup> + 4x – 6 from –3x + 5<br>(–3x + 5) – (2x2 + 4x – 6)<br>= –3x + 5 – 2x2 – 4x + 6<br>= –3x – 4x – 2x2 + 5 + 6<br>= –7x – 2x2 + 11",
   "code": "AFQ",
   "options": null,
   "val": 24
  },
{
   "heading": "Answer the following questions.",
   "qus": "Subtract <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(x + y) from (x − y)",
   "ans": "(x + y) from (x − y)<br>x − y − (x+y)<br>= x − y − x − y<br>= − 2y",
   "code": "AFQ",
   "options": null,
   "val": 25
  },
{
   "heading": "Answer the following questions.",
   "qus": "Subtract <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;6mn – 3m<sup>2</sup> – n<sup>2</sup> from 5mn – 2m<sup>2</sup> + 3n<sup>2</sup>",
   "ans": "6mn – 3m<sup>2</sup> – n<sup>2</sup> from 5mn – 2m<sup>2</sup> + 3n<sup>2</sup><br> 5mn – 2m<sup>2</sup> + 3n<sup>2</sup> – (6mn – 3m<sup>2</sup> – n<sup>2</sup>)<br> = 5mn – 2m<sup>2</sup> + 3n<sup>2</sup> – ( 6mn – 3m<sup>2</sup> – n2)<br> = 5mn – 6mn – 2m<sup>2</sup> + 3m<sup>2</sup> + 3n<sup>2</sup> + n<sup>2</sup><br> = –mn + m<sup>2</sup> + 4n<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 26
  },
 {
   "heading": "Answer the following questions.",
   "qus": "Subtract <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x (y − 2) from y (4 − x).",
   "ans": "x (y − 2) from y (4 − x)<br/> y (4 − x) − x(y − 2)<br> = 4y − xy − xy + 2x<br/> = 4y + 2x − 2xy",
   "code": "AFQ",
   "options": null,
   "val": 27
  }, 
  
  {
   "heading": "Answer the following questions.",
   "qus": "What should be added to a<sup>2</sup> + 2ab + b<sup>2</sup> to obtain 3a<sup>2</sup> + 3ab?",
   "ans": "Let x should be added<br>a<sup>2</sup> + 2ab + b<sup>2</sup> + x = 3a<sup>2</sup> + 3ab<br>∴ x = 3a<sup>2</sup>+ 3ab – a2 – 2ab – b<sup>2</sup><br>x = 2a<sup>2</sup> + ab – b<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 28
  },
{
   "heading": "Answer the following questions.",
   "qus": "What should be subtracted from a + 3b + 8 to get –2a + 4b + 12?",
   "ans": "a + 3b + 8 – x = –2a + 4b + 12<br>∴ a + 3b + 8 + 2a – 4b – 12 = x<br>∴ x = 3a – b – 4",
   "code": "AFQ",
   "options": null,
   "val": 29
  },
{
   "heading": "Answer the following questions.",
   "qus": "What should be taken away from 5a<sup>2</sup> – 3b<sup>2</sup> + 2ab + 15 to obtain − a<sup>2</sup> – 2b<sup>2</sup> + 3ab + 15?",
   "ans": "Let x should be subtracted from<br>5a<sup>2</sup> − 3b<sup>2</sup> + 2ab + 15<br>∴ 5a<sup>2</sup> − 3b<sup>2</sup> + 2ab +15 – x = – a<sup>2</sup> – 2b<sup>2</sup> + 3ab + 15<br>∴ 5a<sup>2</sup> – 3b<sup>2</sup> + 2ab + 15 + a<sup>2</sup> + 2b<sup>2</sup> – 3ab – 15 = x<br>∴ 5a<sup>2</sup> + a<sup>2</sup> − 3b<sup>2</sup> + 2b<sup>2</sup> + 2ab − 3ab + 15 − 15 = x<br>∴ x = 6a<sup>2</sup> − b<sup>2</sup> − ab",
   "code": "AFQ",
   "options": null,
   "val": 30
  },
{
   "heading": "Answer the following questions.",
   "qus": "From the sum of 2x − 2y + 9 and − y − 10, subtract 2x − y − 5",
   "ans": "2x – 2y + 9 – y – 10<br>= 2x – 2y – y + 9 – 10 = 2x – 3y – 1<br>Now<br>= 2x – 3y – 1 – (2x – y – 5)<br>= 2x – 3y – 1 – 2x + y + 5<br>= 2x – 2x – 3y + y – 1 + 5 = –2y + 4",
   "code": "AFQ",
   "options": null,
   "val": 31
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "If x = 3, find the value of:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 32,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch12c8.jpg",
    "width": "480",
    "height": "33"
   },
   "ansimg": {
    "image": "ch12c8a.jpg",
    "width": "540",
    "height": "118"
   }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "If m = –1, find the value of:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (i) 3m + 4 &emsp;&emsp;&emsp;&emsp;(ii) − 2m<sup>2</sup> + 5m + 6 &emsp;&emsp;&emsp;&emsp;(iii) − 3m<sup>2</sup> − 2m<sup>3</sup> + 5m + 3",
   "ans": "(i) 3m + 4 <br>= 3 (− 1) + 4<br>= −3 + 4 = 1<br>(ii) − 2m<sup>2</sup> + 5m + 6 <br>–2 (–1)<sup>2</sup>+ 5 (–1) + 6<br>= −2 − 5 + 6<br>= −1<br>(iii) − 3m<sup>2</sup> − 2m<sup>3</sup> + 5m + 3<br>= −3 (−1)<sup>3</sup> − 2 (−1)<sup>2</sup> + 5 (−1) + 3<br>= 3 − 2 − 5 + 3<br>= 6 − 7 = −1",
   "code": "AFQ",
   "options": null,
   "val": 33
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Find the value of the following expressions, when a = 2.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) 4a − 4 &emsp;&emsp;&emsp;&emsp;(ii) −a + 1 &emsp;&emsp;&emsp;&emsp;(iii) a<sup>2</sup> − 2a + 4 &emsp;&emsp;&emsp;&emsp;(iv) 2a<sup>2</sup> − 2a + 3",
   "ans": "(i) 4 (2) − 4<br/>= 8 − 4<br/>= 4<br> (ii) −a + 1<br>= −2 + 1<br>= −1<br> (iii) a<sup>2</sup> − 2a + 4<br>= (2)<sup>2</sup> − 2(2) + 4<br>= 4 – 4 + 4<br>= 4<br> (iv) 2a<sup>2</sup> − 2a + 3<br>= 2 (2)<sup>2</sup> − 2(2) + 3<br>= 2(4) − 4 + 3<br>= 8 − 4 + 3 = 7",   
   "code": "AFQ",
   "options": null,
   "val": 34
  },

{
   "heading": "Answer the following questions.",
   "qus": "If x = 1, y = −1, find the value of:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) x<sup>2</sup> + y<sup>2</sup> &emsp;&emsp;&emsp;&emsp;(ii) 3x<sup>2</sup> + 2y<sup>2</sup> + 2 &emsp;&emsp;&emsp;&emsp;(iii) 3x<sup>2</sup>y + 2yx + 1",
   "ans": "(i) x<sup>2</sup> + y<sup>2</sup> <br>= (1)<sup>2</sup> + (–1)<sup>2</sup><br>= 1 + 1<br>= 2<br>(ii) 3x<sup>2</sup> + 2y<sup>2</sup> + 2<br>= 3 (1)<sup>2</sup> + 2 (–1)<sup>2</sup> + 2<br>= 3 + 2 + 2<br>= 7<br>(iii) 3x<sup>2</sup>y + 2yx + 1<br>= 3(1)<sup>2</sup> (–1) + 2 (–1) (1) + 1<br>= –3 – 2 + 1<br>= –5 + 1 = –4",
   "code": "AFQ",
   "options": null,
   "val": 35
  },
{
   "heading": "Answer the following questions.",
   "qus": "When x = 1 and y = 0, find the value of the given expression.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) x + y &emsp;&emsp;&emsp;&emsp;(ii) 2x + 3y &emsp;&emsp;&emsp;&emsp;(iii) y<sup>2</sup> − 2xy &emsp;&emsp;&emsp;&emsp;(iv) 2x<sup>3</sup>y + 4y + 3",
   "ans": "(i) x + y <br>= 1 + 0<br>= 1<br>(ii) 2x + 3y <br>= 2 (1) + 3 (0)<br>= 2 + 0<br>= 2<br>(iii) y<sup>2</sup> − 2xy <br>= (0)<sup>2</sup> – 2 (1) (0)<br>= 0 – 0<br>= 0<br>(iv) 2x<sup>3</sup>y + 4y + 3<br>= 2 (1)<sup>3</sup> (0) + 4 (0) + 3<br>= 0 + 0 + 3<br>= 3",
   "code": "AFQ",
   "options": null,
   "val": 36
  },
{
   "heading": "Answer the following questions.",
   "qus": "Simplify the expression and find the value if a is equal to 3.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) a + 5 + 2 (a – 3) &emsp;&emsp;&emsp;&emsp;(ii) 2 (a – 3) + 4a + 2 &emsp;&emsp;&emsp;&emsp;(iii) 5a + 3 (a – 1) &emsp;&emsp;&emsp;&emsp;(iv) 3 (2a + 1) + 2a + 10",
   "ans": "(i) a + 5 + 2 (a – 3)<br>= 3 + 5 + 2 (3 – 3)<br>= 8 + 2 (0)<br>= 8<br>(ii) 2 (a – 3) + 4a + 2 <br>= 2 (3 – 3) + 4 (3) + 2 <br>= 2 (0) + 12 + 2<br>= 14<br>(iii) 5a + 3 (a – 1)<br>= 5 (3) + 3 (3 – 1)<br>= 15 + 6<br>= 21<br>(iv) 3 (2a + 1) + 2a + 10<br>= 3 {(2 (3) + 1)} + 2 (3) + 10<br>= 3 (7) + 6 + 10<br>= 21 + 6 + 10<br>= 37",
   "code": "AFQ",
   "options": null,
   "val": 37
  }, 
{
   "heading": "Answer the following questions.",
   "qus": "Simplify these expressions and find their values if x = 2, a = 1, b = −1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) 5x + 2 − 2x +3",
   "ans": "(i) 5x + 2 − 2x +3 <br/>= 5 (2) + 2 − 2 (2) + 3<br/>= 10 + 2 − 4 + 3<br>= 15 − 4<br>= 11",
   "code": "AFQ",
   "options": null,
   "val": 38
  }, 
{
   "heading": "Answer the following questions.",
   "qus": "Simplify these expressions and find their values if x = 2, a = 1, b = −1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(ii) 10 − 4x + 3x +5",
   "ans": "(ii) 10 − 4x + 3x +5 <br>=10 − 4(2) + 3(2) + 5<br>= 10 − 8 + 6 + 5<br>= 21 − 8<br>= 13",
   "code": "AFQ",
   "options": null,
   "val": 39
  },
{
   "heading": "Answer the following questions.",
   "qus": "Simplify these expressions and find their values if x = 2, a = 1, b = −1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(iii) 7a − 1 + 2a + 5",
   "ans": "(iii) 7a − 1 + 2a + 5<br>= 7(1) − 1 + 2(1) + 5<br>= 7 − 1 + 2 + 5<br>= 13",
   "code": "AFQ",
   "options": null,
   "val": 40
  },
{
   "heading": "Answer the following questions.",
   "qus": "Simplify these expressions and find their values if x = 2, a = 1, b = −1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(iv) 11 − 2b − 3 + 4b",
   "ans": "(iv) 11 − 2b − 3 + 4b <br>= 11− 2( −1 ) − 3 + 4 (−1)<br>= 11 + 2 − 3 − 4<br>= 13 − 7 = 6",
   "code": "AFQ",
   "options": null,
   "val": 41
  },
{
   "heading": "Answer the following questions.",
   "qus": "Simplify these expressions and find their values if x = 2, a = 1, b = −1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(v) 4a − 3b − 5 + 10 + b",
   "ans": "(v) 4a − 3b − 5 + 10 + b<br>= 4 (1) − 3 (–1) − 5 + 10 − 1<br>= 4 + 3 − 5 + 10 −1<br>= 17 − 6 = 11",
   "code": "AFQ",
   "options": null,
   "val": 42
  },  
   
  
  {
   "heading": "Answer the following questions.",
   "qus": "if C= 5, find the value of C3 − 2 (C + 3).",
   "ans": "For C = 5, C3 − 2 (C + 3)<br>= 53 − 2 (5 + 3)<br>= 125 − 2(8)<br>= 125 − 16 = 109",
   "code": "AFQ",
   "options": null,
   "val": 43
  },
  {
   "heading": "Answer the following questions.",
   "qus": "If h = –5, find the value of h2 − h + 50.",
   "ans": "For h = − 5,<br>h2 − h + 50<br>= (− 5)2 − (− 5) + 50<br>= 25 + 5 + 50 = 80",
   "code": "AFQ",
   "options": null,
   "val": 44
  },
  {
   "heading": "Answer the following questions.",
   "qus": "What should be the value of x if the value of 2a<sup>2</sup> + 3a − x equals to 4, when a = 0?",
   "ans": "For a = 0<br> 2a<sup>2</sup> + 3a − x = 4<br> ∴ 2 (0)<sup>2</sup> + 3 (0) − x =4<br> ∴ –x = 4<br>∴ x = −4",
   "code": "AFQ",
   "options": null,
   "val": 45
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify the expression and find its value when a = 3 and b = –2.",
   "ans": "3(a<sup>2</sup> − ab) + 5 + ab<br>= 3a<sup>2</sup> – 3ab + 5 + ab<br>= 3a<sup>2</sup> – 2ab + 5<br>= 3 × (3)<sup>2</sup> – 2 × (3) × (–2) + 5 = 27 + 12 + 5 = 44",
   "code": "AFQ",
   "options": null,
   "val": 46
  },
  {
   "heading": "Answer the following questions.",
   "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                       ",
   "ans": "pattern formula is 5n +1<br> for 10 &emsp;&emsp;&emsp;&emsp;5(10) +1 = 50+1 = 51<br> for 50 &emsp;&emsp;&emsp;&emsp;5(50) +1 = 250+1 = 251<br> for 100 &emsp;&emsp;&emsp;&emsp;5(100) +1 = 500+1 = 501<br> So, 51, 251 and 501 segments are required to form 10, 50 and 100 digits, respectively.",
   "code": "AFQ",
   "options": null,
   "val": 47,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch12c9.jpg",
    "width": "570",
    "height": "242"
   },
   "ansimg": {
   "image": null,
    "width": null,
    "height": null
    }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "Use the given algebraic expression to complete the table of number patterns.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 48,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch12c10.jpg",
     "width": "560",
    "height": "159"
   },
   "ansimg": {
   "image": "ch12c10a.jpg",
    "width": "570",
    "height": "242"
   
    }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "Write the coefficient of x<sup>2</sup> in the following:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) 2x<sup>2</sup> – x + 1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(ii) x<sup>3</sup> + 5x<sup>2</sup> + 5<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(iii) 5 + 3x + 2x<sup>2</sup> + 5x<sup>3</sup> <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(iv) y + yx + y<sup>2</sup> x<sup>2</sup> + y<sup>3</sup> x<sup>3</sup>",
   "ans": "(i) 2 &emsp;&emsp;&emsp;(ii) 5 &emsp;&emsp;&emsp;(iii) 2 &emsp;&emsp;&emsp;(iv) y2",
   "code": "AFQ",
   "options": null,
   "val": 49
  },
  {
   "heading": "Answer the following questions.",
   "qus": "What should be subtracted from<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;–7mn + 2m<sup>2</sup> + 3n<sup>2</sup> to get m<sup>2</sup> + 2mn + n<sup>2</sup>?",
   "ans": "Required expression = –7mn + 2m<sup>2</sup> + 3n<sup>2</sup> − (m<sup>2</sup>+2mn+n<sup>2</sup>)<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; = –7mn + 2m<sup>2</sup> + 3n<sup>2</sup> – m<sup>2</sup> – 2mn – n2<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; = –7mn – 2 mn + 2m<sup>2</sup> – m<sup>2</sup> + 3n<sup>2</sup> – n2<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= –9mn + m<sup>2</sup> + 2n<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 50
  },{
   "heading": "Answer the following questions.",
   "qus": "How much is x<sup>4</sup> – 8x<sup>2</sup> + x + 12 greater than 12x<sup>3</sup> + 21x<sup>2</sup> – 40x +70?",
   "ans": "Required expression<br> = x<sup>4</sup> – 8x<sup>2</sup> + x + 12 – (12x<sup>3</sup> + 21x<sup>2</sup> – 40x + 70)<br> = x<sup>4</sup> – 8x<sup>2</sup> + x + 12 – 12x<sup>3</sup> – 21x<sup>2</sup> + 40x – 70<br> = x<sup>4</sup> – 12x<sup>3</sup> – 8x<sup>2</sup> – 21x<sup>2</sup> + x + 40x +12 – 70<br>= x<sup>4</sup> – 12x<sup>3</sup> – 29x2 + 41x – 58<br> So, x<sup>4</sup> – 8x<sup>2</sup> + x + 12 is x4 – 12x<sup>3</sup> – 29x<sup>2</sup> + 41x – 58<br>greater than 12x<sup>3</sup> + 21x<sup>2</sup> – 40x + 70",
   "code": "AFQ",
   "options": null,
   "val": 51
  },{
   "heading": "Answer the following questions.",
   "qus": "How much does 45 a<sup>2</sup> – 35a + 10 exceed 25a<sup>2</sup> – 22a + 50?",
   "ans": "Required expression<br>45a<sup>2</sup> – 35a + 10 – (25a<sup>2</sup> – 22a + 50)<br>= 45a<sup>2</sup> – 35a + 10 – 25a<sup>2</sup> + 22a – 50<br>= 45a<sup>2</sup> – 25a<sup>2</sup> – 35a + 22a + 10 – 50<br>= 20a<sup>2</sup> – 13a – 40.",
   "code": "AFQ",
   "options": null,
   "val": 52
  },{
   "heading": "Answer the following questions.",
   "qus": "If A = 2x<sup>2</sup> – 5x + 3, B = 4x<sup>2</sup> + 2x – 5 and C = 3x<sup>2</sup> – 6x + 2. Then find:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(A + B) – C",
   "ans": "(A+B) – C<br> [(2x<sup>2</sup> – 5x + 3) + (4x<sup>2</sup> + 2x – 5] – (3x<sup>2</sup> – 6x + 2)<br> = [2x<sup>2</sup> – 5x + 3 + 4x<sup>2</sup> + 2x – 5] – (3x<sup>2</sup> – 6x + 2)<br> = [2x<sup>2</sup> + 4x<sup>2</sup> – 5x + 2x + 3 – 5] – (3x<sup>2</sup> – 6x + 2)<br> = 6x<sup>2</sup> – 3x – 2 – 3x<sup>2</sup> + 6x – 2<br>= 3x<sup>2</sup> + 3x – 4",
   "code": "AFQ",
   "options": null,
   "val": 53
  },{
   "heading": "Answer the following questions.",
   "qus": "If A = 2x<sup>2</sup> – 5x + 3, B = 4x<sup>2</sup> + 2x – 5 and C = 3x<sup>2</sup> – 6x + 2. Then find:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;B + C – A",
   "ans": "(B + C) – A<br> [4x<sup>2</sup> + 2x – 5 + 3x<sup>2</sup> – 6x + 2] – (2x<sup>2</sup> – 5x + 3)<br> = [4x<sup>2</sup> + 3x<sup>2</sup> + 2x – 6x – 5 + 2] – (2x<sup>2</sup> – 5x + 3)<br> = 7x<sup>2</sup> – 4x – 3 – 2x<sup>2</sup> + 5x – 3<br> = 7x<sup>2</sup> – 2x<sup>2</sup> – 4x + 5x – 3 – 3<br> = 5x<sup>2</sup> + x – 6",
   "code": "AFQ",
   "options": null,
   "val": 54
  },{
   "heading": "Answer the following questions.",
   "qus": "If A = 2x<sup>2</sup> – 5x + 3, B = 4x<sup>2</sup> + 2x – 5 and C = 3x<sup>2</sup> – 6x + 2. Then find:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A + B + C",
   "ans": "A + B + C<br> = (2x<sup>2</sup> – 5x + 3) + (4x<sup>2</sup>+ 2x – 5) + (3x<sup>2</sup> – 6x + 2)<br> = 2x<sup>2</sup> + 4x<sup>2</sup> +3x<sup>2</sup> – 5x +2x – 6x + 3 – 5+ 2<br>= 9x<sup>2</sup> – 9x",
   "code": "AFQ",
   "options": null,
   "val": 55
  },{
   "heading": "Answer the following questions.",
   "qus": "From the sum of x<sup>2</sup> – y<sup>2</sup> – 1, x<sup>2</sup> – y<sup>2</sup> – 1 and 1 – x<sup>2</sup> – y<sup>2</sup>, subtract – (1 + y<sup>2</sup>).",
   "ans": "Sum = x<sup>2</sup> – y<sup>2</sup> – 1, x<sup>2</sup> – y<sup>2</sup> – 1 and 1 – x<sup>2</sup> – y<sup>2</sup><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= x<sup>2</sup> – 3y<sup>2</sup> – 1<br>Now, subtract – (1 + y<sup>2</sup>) from x<sup>2</sup> – 3y<sup>2</sup> – 1<br> = x<sup>2</sup> – 3y<sup>2</sup> – 1 – {– (1 + y<sup>2</sup>)}<br> = x<sup>2</sup> – 3y<sup>2</sup> – 1 + 1 + y<sup>2</sup><br> = x<sup>2</sup> – 2y<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 56
  },{
   "heading": "Answer the following questions.",
   "qus": "Neel bought a rectangular plot with length x and breadth y and then sold a triangular part of it whose base is y and height is z. Find the area of remaining part of the plot.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 57,
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch12c11a.jpg",
    "width": "425",
    "height": "243"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Find the perimeter of figure given alongside.",
   "ans": "Perimeter of given figure = AB + BC + CD + DA<br> = 3x + 5y + 2(x – y) + 3x + 5y + 2(x – y)<br>= 3x + 5y + 2x – 2y + 3x + 5y + 2x – 2y<br>= 3x + 2x + 3x + 2x + 5y – 2y + 5y – 2y<br>= 10x + 6y",
   "code": "AFQ",
   "options": null,
   "val": 58,
   "pic": {
	"image": "ch12c12.jpg",
    "width": "280",
    "height": "144"
   
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "A taxi service charges ₹ 8 per km and levies a fixed charge of ₹ 50. Write an algebraic expression for the above situation, if the taxi is hired for x km.",
   "ans": "If taxi is hired for x km<br>Then, algebraic expression for the<br>situation = 8 × x + 50 = 8x + 50<br>Hence, the required equation is 8x + 50.",
   "code": "AFQ",
   "options": null,
   "val": 59
  },
  {
   "heading": "Answer the following questions.",
   "qus": "A wire is (8x – 5) metres long. A piece of (3x – 3) metres is cut for use, answer the following questions.<br> (i) How much wire is left?<br> (ii) If this left-out wire is used for making an equilateral triangle, what is the length of each side as the triangle so formed?",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 60,
    "ansimg": {
    "image": "ch12c13a.jpg",
    "width": "290",
    "height": "169"
    }
  }
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 ],
 "un": "ch12_un",
 "afq": "ch12_afq",
 "snc": "ch12_snc",
 "jtf": "ch12_jtf",
 "ctt": "ch12_ctt",
 "grade": "Grade 7",
 "fib": "ch12_fib",
 "yn": "ch12_yn",
 "map": "ch12_map",
 "afow": "ch12_afow",
 "mcq": "ch12_mcq",
 "cs": "ch12_cs",
 "pbq": "ch12_pbq",
 "tf": "ch12_tf",
 "grf": "ch12_grf",
 "mtf": "ch12_mtf",
 "co": "ch12_co",
 "saq": "ch12_saq",
 "laq": "ch12_laq",
 "gowf": "ch12_gowf",
 "nf": "ch12_nf",
 "vsaq": "ch12_vsaq",
 "ctco": "ch12_ctco",
 "dtf": "ch12_dtf"
},
{
 "subject": "Math",
 "chapter": "ch13",
 "chapterName": "Chapter 13 - Exponents and Powers",
 "all": [
  [{
   "heading": "Multiple Choice Question.",
   "qus": "5 raised to power of 6 is same as",
   "ans": "(a) 5<sup>6</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 5<sup>6</sup>", "(b) 6<sup>5</sup>", "(c) 5<sup>5</sup>", "(d) 6<sup>6</sup>"],
   "val": 1
  }, 
  
  {
   "heading": "Multiple Choice Question.",
   "qus": "The exponential form of 2 × 2 × 2 × 2 × 2 × 2 is",
   "ans": "(c) 2<sup>6</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 2<sup>5</sup>", "(b) 2<sup>4</sup>", "(c) 2<sup>6</sup>", "(d) 2<sup>7</sup>"],
   "val": 2
  }, 
  {
   "heading": "Multiple Choice Question.",
   "qus": "(–1)<sup>3</sup> = __________",
   "ans": "(c) –1",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 1", "(b) 3", "(c) –1", "(d) –3"],
   "val": 3
  }, 
  {
   "heading": "Multiple Choice Question.",
   "qus": "128 as power of 2 is",
   "ans": "(b) 2<sup>7</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 2<sup>6</sup>", "(b) 2<sup>7</sup>", "(c) 2<sup>5</sup>", "(d) 2<sup>8</sup>"],
   "val": 4
  }, 
  {
   "heading": "Multiple Choice Question.",
   "qus": "2<sup>2</sup> × 2<sup>3</sup> × 2<sup>10</sup> = __________",
   "ans": "(b) 2<sup>15</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 2<sup>14</sup>", "(b) 2<sup>15</sup>", "(c) 2<sup>16</sup>", "(d) 2<sup>18</sup>"],
   "val": 5
  }, 
  {
   "heading": "Multiple Choice Question.",
   "qus": "3<sup>9</sup> = 3<sup>5</sup> × __________",
   "ans": "(a) 3<sup>4</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 3<sup>4</sup>", "(b) 3<sup>3</sup>", "(c) 3<sup>2</sup>", "(d) 3<sup>5</sup>"],
   "val": 6
  }, 
  {
   "heading": "Multiple Choice Question.",
   "qus": "a<sup>0</sup> + b<sup>0</sup> + 5<sup>0</sup> = __________",
   "ans": "(d) 3",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) a", "(b) b", "(c) 5", "(d) 3"],
   "val": 7
  }, 
  
  {
   "heading": "Multiple Choice Question.",
   "qus": "ch13b1.jpg",
   "ans": "(c) 3",
   "code": "MCQ",
   "width": "263",
   "height": "30",
   "optn": null,
   "options": ["(a) 1", "(b) 2", "(c) 3", "(d) 4"],
   "val": 8
  },
  {
   "heading": "Multiple Choice Question.",
   "qus": "If 10 × 10 × 10 = 2<sup>3</sup> × 5<sup>x</sup>, then x= __________",
   "ans": "(c) 3",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 1", "(b) 2", "(c) 3", "(d) 4"],
   "val": 9
  },  
  {
   "heading": "Multiple Choice Question.",
   "qus": "[(–2)<sup>6</sup>]<sup>2</sup> is equal to",
   "ans": "(b) (–2)<sup>12</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) (–2)<sup>62</sup>", "(b) (–2)<sup>12</sup>", "(c) (–2)<sup>8</sup>", "(d) (–2)<sup>10</sup>"],
   "val": 10
  },{
   "heading": "Multiple Choice Question.",
   "qus": "For any two non-zero rational numbers a and b, a<sup>10</sup> ÷ b<sup>10</sup> is equal to",
   "ans": "(c) (a ÷ b)<sup>10</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) (a ÷ b)<sup>1</sup>", "(b) (a ÷ b)<sup>0</sup>", "(c) (a ÷ b)<sup>10</sup>", "(d) (a ÷ b)<sup>20</sup>"],
   "val": 11
  },{
   "heading": "Multiple Choice Question.",
   "qus": "(2<sup>0</sup> + 3<sup>0</sup> + 5<sup>0</sup>) is equal to",
   "ans": "(d) 3",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 1", "(b) 0", "(c) 2", "(d) 3"],
   "val": 12
  },{
   "heading": "Multiple Choice Question.",
   "qus": "The standard form of the number 215610 is",
   "ans": "(b) 2.1561 × 10<sup>5</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 215.61 × 10<sup>2</sup>", "(b) 2.1561 × 10<sup>5</sup>", "(c) 2.1561 × 10<sup>4</sup>", "(d) 2156.10 × 10<sup>4</sup>"],
   "val": 13
  },{
   "heading": "Multiple Choice Question.",
   "qus": "ch13b2.jpg",
   "ans": null,
   "code": "MCQ",
   "width": "400",
   "height": "49",
   "optn": null,
   "options": null,
   "val": 14,
   "ansimg": {
   "image": "ch13b2c.jpg",
    "width": "54",
    "height": "37"
    
   }
  },{
   "heading": "Multiple Choice Question.",
   "qus": "ch13b3.jpg",
   "ans": "ch13b3c.jpg",
   "code": "MCQ",
   "width": "367",
   "height": "111",
   "optn": null,
   "options": null,
   "val": 15,
   "ansimg": {
   "image": "ch13b3c.jpg",
    "width": "57",
    "height": "32"
    
   }
  },{
   "heading": "Multiple Choice Question.",
   "qus": "Which of the following is not true?",
   "ans": "(a) 4<sup>3</sup> > 3<sup>4</sup>",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 4<sup>3</sup> > 3<sup>4</sup>", "(b) 4<sup>2</sup> = 16", "(c) 2<sup>6</sup> > 6<sup>2</sup>", "(d) 3<sup>3</sup> = 27"],
   "val": 16
  }, 
  ],
  [{
   "heading": "State True or False.",
   "qus": "\n\t\t 3<sup>2</sup> > 2<sup>3</sup> .\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 1
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t 64 is the third power of 6.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 2
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t (–3)<sup>5</sup> = –243. \n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 3
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t In 3<sup>2</sup>, 2 is base and 3 is exponent.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 4
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t a<sup>3</sup> b<sup>4</sup> = b<sup>3</sup> a<sup>4</sup>.            \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 5
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\t 15<sup>10</sup> ÷ 5<sup>10</sup> = 3<sup>10</sup> \n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 6
  }, {
   "heading": "State True or False.",
  "qus": "\n\t\t x<sup>a</sup> × y<sup>a</sup> = (x + y)<sup>a</sup> \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 7
  }, {
   "heading": "State True or False.",
 "qus": "\n\t\t (4<sup>3</sup>)<sup>2</sup> = 4<sup>5</sup> \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 8
  }, {
   "heading": "State True or False.",
 "qus": "\n\t\t 11<sup>11</sup> ÷ 11<sup>5</sup> = 11<sup>6</sup> \n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 9
  }, {
   "heading": "State True or False.",
 "qus": "\n\t\t 100<sup>0</sup> = 0 \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 10
    
  },{
   "heading": "State True or False.",
 "qus": "\n\t\t One billion = 10<sup>9</sup> \n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 11
  },{
   "heading": "State True or False.",
 "qus": "\n\t\t 10<sup>0</sup> × 0<sup>10</sup> = 1 \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 12
  },{
   "heading": "State True or False.",
 "qus": "\n\t\t (–2)<sup>5</sup> = –10 \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 13
  },{
   "heading": "State True or False.",
 "qus": "\n\t\t 5<sup>2</sup> > 2<sup>5</sup> \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 14
  },{
   "heading": "State True or False.",
 "qus": "\n\t\tx<sup>n</sup> × x<sup>n</sup> = x<sup>2n</sup> \n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 15
  },{
   "heading": "State True or False.",
 "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ",
   "ans": "True",
   "code": "TF",
   "val": 16,
   "pic": {
    "image": "ch13d1.jpg",
    "width": "180",
    "height": "35"
   }
   
  },{
   "heading": "State True or False.",
 "qus": "\n\t\t 1<sup>0</sup> + 5<sup>0</sup> + 10<sup>0</sup> = (1 + 5 + 10)<sup>0</sup> \n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 17
  },{
   "heading": "State True or False.",
 "qus": "\n\t\t 505050 = 5 × 10<sup>5</sup> + 5 × 10<sup>3</sup> + 5 × 10<sup>1</sup> \n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 18
  }, 
  ],
  [],
  [
  {  "heading": "Fill in the blanks.",
   "qus": "In 25<sup>12</sup>, ________ is the base.",
   "ans": "25",
   "code": "FIB",
   "val": 1
  }, {
   "heading": "Fill in the blanks.",
   "qus": "In 10<sup>15</sup>, 15 is the________.",
   "ans": "exponent",
   "code": "FIB",
   "val": 2
  }, {
   "heading": "Fill in the blanks.",
  "qus": "10<sup>6</sup> is the exponential form of________. ",
   "ans": "10,00,000",
   "code": "FIB",
   "val": 3
  }, {
   "heading": "Fill in the blanks.",
   "qus": "12 raised to power 9 can be written in exponential form as ________. ",
   "ans": "12<sup>9</sup>",
   "code": "FIB",
   "val": 4
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Exponential form of a × a × a × a × b × b × c × c × c well be ________. ",
   "ans": "a<sup>4</sup> × b<sup>2</sup> × c<sup>3</sup>",
   "code": "FIB",
   "val": 5
  }, {
   "heading": "Fill in the blanks.",
   "qus": "a<sup>3</sup> × a<sup>5</sup> =________ ",
   "ans": "a<sup>8</sup>",
   "code": "FIB",
   "val": 6
  }, {
   "heading": "Fill in the blanks.",
   "qus": "a<sup>m</sup>÷a<sup>n</sup> =________ ",
   "ans": "a<sup>m−n</sup>",
   "code": "FIB",
   "val": 7
  }, {
   "heading": "Fill in the blanks.",
   "qus": "(6<sup>3</sup>)<sup>4</sup> =________ ",
   "ans": "6<sup>12</sup>",
   "code": "FIB",
   "val": 8
  },{
   "heading": "Fill in the blanks.",
   "qus": "(–2a)<sup>5</sup> =________ ",
   "ans": "–32a<sup>5</sup>",
   "code": "FIB",
   "val": 9
  }, 
  {
   "heading": "Fill in the blanks.",
   "qus": "(-2)<sup>21</sup> × (-2)<sup>32</sup> =________ ",
   "ans": "(–2)<sup>53</sup>",
   "code": "FIB",
   "val": 10
  },{
   "heading": "Fill in the blanks.",
   "qus": "(-4)<sup>12</sup> ÷ (-4)<sup>8</sup> =________ ",
   "ans": "(–4)<sup>5</sup>",
   "code": "FIB",
   "val": 11
  },{
   "heading": "Fill in the blanks.",
   "qus": "a<sup>4</sup> × a<sup>2</sup> × a<sup>0</sup> =________ ",
   "ans": "a<sup>6</sup>",
   "code": "FIB",
   "val": 12
  },{
   "heading": "Fill in the blanks.",
   "qus": "10 Lakh =________ ",
   "ans": "10<sup>6</sup>",
   "code": "FIB",
   "val": 13
  },{
   "heading": "Fill in the blanks.",
   "qus": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ",
   "ans": "32",
   "code": "FIB",
   "val": 14,
   "pic": {
          "image": "ch13aaq.jpg",
          "width": "210",
          "height": "50"
        },
        "ansimg": {
          "image": "ch13aa.jpg",
          "width": "74",
          "height": "50"
        },
   
   },{
   "heading": "Fill in the blanks.",
   "qus": "1024 =________ ",
   "ans": "2<sup>10</sup>",
   "code": "FIB",
   "val": 15
  },{
   "heading": "Fill in the blanks.",
   "qus": "777000000000 = ________  × 10<sup>11</sup>",
   "ans": "7.77",
   "code": "FIB",
   "val": 16
  },{
   "heading": "Fill in the blanks.",
   "qus": "1750000000 = 1.75 × 10<sup>___</sup>",
   "ans": "9",
   "code": "FIB",
   "val": 17
  },
  ],
  [],
  [],
  [],
  [],
  [],
  [],
  [{
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2<sup>5</sup>",
   "ans": "2<sup>5</sup> = 2 × 2 × 2 × 2 × 2 = 32",
   "code": "AFQ",
   "options": null,
   "val": 1,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3<sup>7</sup>",
   "ans": "3<sup>7</sup> = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2187",
   "code": "AFQ",
   "options": null,
   "val": 2,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5<sup>3</sup>",
   "ans": "5<sup>3</sup> = 5 × 5 × 5 = 125",
   "code": "AFQ",
   "options": null,
   "val": 3,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;9<sup>2</sup>",
   "ans": " 9<sup>2</sup> = 9 × 9 = 81",
   "code": "AFQ",
   "options": null,
   "val": 4,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;10<sup>5</sup>",
   "ans": "10<sup>5</sup> = 10 × 10 × 10 × 10 × 10 = 1,00,000",
   "code": "AFQ",
   "options": null,
   "val": 5,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },{
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;8<sup>3</sup>",
   "ans": "8<sup>3</sup> = 8 × 8 × 8 = 512",
   "code": "AFQ",
   "options": null,
   "val": 6,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },{
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;6<sup>4</sup>",
   "ans": "6<sup>4</sup> = 6 × 6 × 6 × 6 = 1296",
   "code": "AFQ",
   "options": null,
   "val": 7,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },{
   "heading": "Answer the following questions.",
   "qus": "Find the value of <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;4<sup>4</sup>",
   "ans": "4<sup>4</sup> = 4 × 4 × 4 × 4 = 256",
   "code": "AFQ",
   "options": null,
   "val": 8,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express the following in exponential form:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3 × 3 × 3 × 3 × 3",
   "ans": "3 × 3 × 3 × 3 × 3 = 3<sup>5</sup>",
   "code": "AFQ",
   "options": null,
   "val": 9
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express the following in exponential form:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;m × m × m",
   "ans": "m × m × m = m<sup>3</sup>",
   "code": "AFQ",
   "options": null,
   "val": 10
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express the following in exponential form:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;a × a × a × a",
   "ans": "a × a × a × a = a<sup>4</sup>",
   "code": "AFQ",
   "options": null,
   "val": 11
   
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express the following in exponential form:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;b × b × b × p × p",
   "ans": "b × b × b × p × p = b<sup>3</sup> p<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 12
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express the following in exponential form:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5 × b × b × b × b",
   "ans": "5 × b × b × b × b = 5b<sup>4</sup>",
   "code": "AFQ",
   "options": null,
   "val": 13
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express the following in exponential form:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;m × m × m × n × n × y × y × y × y",
   "ans": "m × m × m × n × n × y × y × y × y = m<sup>3</sup> n<sup>2</sup> y<sup>4</sup>",
   "code": "AFQ",
   "options": null,
   "val": 14
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following numbers using exponential notation:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;81",
   "ans": "81 = 3 × 27<br>&nbsp;&nbsp; = 3 × 3 × 9<br>&nbsp;&nbsp; = 3 × 3 × 3 × 3 = 3<sup>4</sup>",
   "code": "AFQ",
   "options": null,
   "val": 15
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following numbers using exponential notation:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;128",
   "ans": "128 = 2 × 64<br>&nbsp;&nbsp; = 2 × 2 × 32<br>&nbsp;&nbsp; = 2 × 2 × 2 × 16<br>&nbsp;&nbsp; = 2 × 2 × 2 × 2 × 8 = 2<sup>4</sup> × 2<sup>3</sup> = 2<sup>7</sup>",
   "code": "AFQ",
   "options": null,
   "val": 16
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following numbers using exponential notation:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;625",
   "ans": "625 = 5 × 125<br>&nbsp;&nbsp; = 5 × 5 × 25<br>&nbsp;&nbsp; = 5 × 5 × 5 × 5 = 5<sup>4</sup>",
   "code": "AFQ",
   "options": null,
   "val": 17
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following numbers using exponential notation:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;343",
   "ans": "324 = 7 × 49<br>&nbsp;&nbsp; = 7 × 7 × 7 =7<sup>3</sup>",
   "code": "AFQ",
   "options": null,
   "val": 18
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Identify the greater number, wherever possible, in each of the following<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2<sup>3</sup>or 3<sup>2</sup>",
   "ans": "We have <br> 2<sup>3</sup> = 2 × 2 × 2 = 8 and 3<sup>2</sup> = 3 × 3 = 9<br> Since 9 > 8, 3<sup>2</sup> > 2<sup>3</sup>",
   "code": "AFQ",
   "options": null,
   "val": 19
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Identify the greater number, wherever possible, in each of the following<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3<sup>4</sup> or 4<sup>3</sup>",
   "ans": "We have<br> 3<sup>4</sup> = 3 × 3 × 3 × 3 = 81 and 4<sup>3</sup> = 4 × 4 × 4 = 64<br> Since 81 > 64, 3<sup>4</sup> > 4<sup>3</sup>.",
   "code": "AFQ",
   "options": null,
   "val": 20
  },
{
   "heading": "Answer the following questions.",
   "qus": "Identify the greater number, wherever possible, in each of the following<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2<sup>7</sup> or 7<sup>2</sup>",
   "ans": "We have<br> 2<sup>7</sup> = 2 × 2 × 2 × 2 × 2 × 2 × 2<br>&nbsp;&nbsp;  = 128<br> and 7<sup>2</sup> = 7 × 7 = 49<br> Since 128 > 49, 2<sup>7</sup> > 7<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 21
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Identify the greater number, wherever possible, in each of the following<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2<sup>50</sup> or 50 <sup>2</sup>",
   "ans": "We have<br> 2<sup>50</sup> = 2<sup>10</sup> × 2<sup>10</sup> × 2<sup>10</sup> × 2<sup>10</sup> × 2<sup>10</sup><br>&nbsp;&nbsp;  = 1024 × 1024 × 1024 × 1024 × 1024<br> and 50<sup>2</sup> = 50 × 50 = 2500<br> obviously 2<sup>50</sup> > 50<sup>2</sup>",
   "code": "AFQ",
   "options": null,
   "val": 22
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as product of power of their prime factors:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;288",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 23,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
	"image": "ch13c1.jpg",
    "width": "218",
    "height": "300"
    
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as product of power of their prime factors:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2700",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 24,
    
   "pic": {
     "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
   "image": "ch13c2.jpg",
    "width": "226",
    "height": "300"
   
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as product of power of their prime factors:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3087",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 25,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
	"image": "ch13c3.jpg",
    "width": "218",
    "height": "300"
    
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as product of power of their prime factors:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;432",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 26,
    
   "pic": {
	   "image": null,
    "width": null,
    "height": null,
    
   },
   "ansimg": {
	 "image": "ch13c4.jpg",
    "width": "218",
    "height": "300"
    
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3 × 10<sup>2</sup>",
   "ans": "3 × 10<sup>2</sup> = 3 × 10 × 10 = 300",
   "code": "AFQ",
   "options": null,
   "val": 27
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2<sup>3</sup> × 3<sup>2</sup>",
   "ans": "2<sup>3</sup> × 3<sup>2</sup> = 2 × 2 × 2 × 3 × 3 = 8 × 9 = 72",
   "code": "AFQ",
   "options": null,
   "val": 28
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2<sup>2</sup> × 5<sup>2</sup>",
   "ans": "2<sup>2</sup> × 5<sup>2</sup> = 2 × 2 × 5 × 5 = 4 × 25 = 100",
   "code": "AFQ",
   "options": null,
   "val": 29
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3 × 4<sup>3</sup>",
   "ans": "3 × 4<sup>3</sup> = 3 × 4 × 4 × 4 = 3 × 64 = 192",
   "code": "AFQ",
   "options": null,
   "val": 30
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0 × 10<sup>3</sup>",
   "ans": "0 × 10<sup>3</sup> = 0",
   "code": "AFQ",
   "options": null,
   "val": 31
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3<sup>3</sup> × 4<sup>2</sup>",
   "ans": "3<sup>3</sup> × 4<sup>2</sup> = 3 × 3 × 3 × 4 × 4 = 27 × 16 = 432",
   "code": "AFQ",
   "options": null,
   "val": 32
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2<sup>5</sup> × 4",
   "ans": "2<sup>5</sup> × 4 = 2 × 2 × 2 × 2 × 2 × 4 = 128",
   "code": "AFQ",
   "options": null,
   "val": 33
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;10<sup>5</sup> × 2<sup>3</sup>",
   "ans": "10<sup>5</sup> × 2<sup>3</sup> = 100000 × 8 = 800000",
   "code": "AFQ",
   "options": null,
   "val": 34
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(–3)<sup>3</sup>",
   "ans": "(–3)<sup>3</sup>  = (–3) × (–3) × (–3)<br>&nbsp;&nbsp;  = 9 × (–3) = –27",
   "code": "AFQ",
   "options": null,
   "val": 35
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(–2) × (–3)<sup>4</sup>",
   "ans": "(–2) × (–3)<sup>4</sup> = (–2) × (–3) × (–3) × (–3) × (–3)<br>&nbsp;&nbsp;  = (–2) × 9 × 9<br>&nbsp;&nbsp;  = (–2) × 81<br>&nbsp;&nbsp;  = –162",
   "code": "AFQ",
   "options": null,
   "val": 36
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(–2)<sup>2</sup> × (–4)<sup>2</sup>",
   "ans": "(–2)<sup>2</sup> × (–4)<sup>2</sup> = (–2) × (–2) × (–4) × (–4)<br>&nbsp;&nbsp;= 4 × 16 = 64",
   "code": "AFQ",
   "options": null,
   "val": 37
  },{
   "heading": "Answer the following questions.",
   "qus": "Simplify:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(–10)<sup>5</sup> × (–5)<sup>2</sup>",
   "ans": "(–10)<sup>5</sup> × (–5)<sup>2</sup>= (–10) × (–10) × (–10) × (–10) × (–10) × (–5) × (–5) <br>&nbsp;&nbsp;= 100 × 100 × (–10) × 25 <br>&nbsp;&nbsp;= 10,000 × (–250) = –25,00,000",
   "code": "AFQ",
   "options": null,
   "val": 38
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Compare the following numbers:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1.8 × 10<sup>11</sup>, 2.5 × 10<sup>10</sup>",
   "ans": "Since, 10<sup>11</sup> = 10<sup>10</sup> × 10<sup>1</sup><br>&nbsp;&nbsp;∴ 10<sup>11</sup> > 10<sup>10</sup><br>Hence, 1.8 × 10<sup>11</sup> > 2.5 × 10<sup>10</sup>",
   "code": "AFQ",
   "options": null,
   "val": 39
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Compare the following numbers:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3.4 × 10<sup>14</sup>, 2.9 × 10<sup>17</sup>",
   "ans": "Since, 10<sup>17</sup> = 10<sup>14</sup> × 10<sup>3</sup><br> &nbsp;&nbsp;∴ 10<sup>17</sup> > 10<sup>14</sup><br> Hence, 2.9 × 10<sup>17</sup> > 3.4 × 10<sup>14</sup>",
   "code": "AFQ",
   "options": null,
   "val": 40
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Compare the following numbers:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2.6 × 10<sup>9</sup> , 5.1 × 10<sup>10</sup>",
   "ans": "Since, 10<sup>10</sup> = 10<sup>9</sup> × 10<sup>1</sup><br> &nbsp;&nbsp;∴ 10<sup>10</sup> > 10<sup>9</sup><br> Hence, 5.1 × 10<sup>10</sup> > 2.6 × 10<sup>9</sup>",
   "code": "AFQ",
   "options": null,
   "val": 41
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Compare the following numbers:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3 × 10<sup>15</sup>, 6.7 × 10<sup>13</sup>",
   "ans": "Since, 10<sup>15</sup> = 10<sup>13</sup> × 10<sup>2</sup><br>&nbsp;&nbsp; ∴ 10<sup>15</sup> > 10<sup>13</sup><br> Hence, 3 × 10<sup>15</sup> > 6.7 × 10<sup>13</sup>",
   "code": "AFQ",
   "options": null,
   "val": 42
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5<sup>2</sup> × 5<sup>3</sup> × 5<sup>8</sup>",
   "ans": "5<sup>2</sup> × 5<sup>3</sup> × 5<sup>8</sup><br> &nbsp;&nbsp;= (5)<sup>2+3+8</sup><br> &nbsp;&nbsp;= 5<sup>13</sup>  &emsp;&emsp;(Using law a<sup>m</sup> × a<sup>n</sup> = a<sup>m+n</sup>)",
   "code": "AFQ",
   "options": null,
   "val": 43
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;7<sup>17</sup> ÷ 7<sup>9</sup>",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 44,
   "ansimg": {
    "image": "ch13c5.jpg",
    "width": "354",
    "height": "70"
   }
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;m<sup>9</sup> × m<sup>2</sup>",
   "ans": "m<sup>9</sup> × m<sup>2</sup> = m<sup>9+2</sup> = m<sup>11</sup>  &emsp;&emsp;(Law a<sup>m</sup> × a<sup>n</sup> = a<sup>m+n</sup>)",
   "code": "AFQ",
   "options": null,
   "val": 45
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3<sup>x</sup> × 3<sup>3</sup>",
   "ans": "3<sup>x</sup> × 3<sup>3</sup> = 3<sup>(x+3)</sup>&emsp;&emsp;(Law a<sup>m</sup> × a<sup>n</sup> = a<sup>m+n</sup>)",
   "code": "AFQ",
   "options": null,
   "val": 46
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(11<sup>4</sup>)<sup>3</sup> ÷ 11<sup>5</sup>",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 47,
   "ansimg": {
    "image": "ch13c6.jpg",
    "width": "400",
    "height": "71"
   }
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2<sup>6</sup> × 7<sup>6</sup>",
   "ans": "2<sup>6</sup> × 7<sup>6</sup> = (2 × 7)<sup>6</sup> = 14<sup>6</sup> &emsp;&emsp;(Law a<sup>m</sup> b<sup>m</sup> = (ab)<sup>m</sup>)",
   "code": "AFQ",
   "options": null,
   "val": 48
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x<sup>5</sup> × y<sup>5</sup>",
   "ans": "x<sup>5</sup> × y<sup>5</sup> = (x × y)<sup>5</sup> =(x y)<sup>5</sup> &emsp;&emsp;(Law a<sup>m</sup> ×b<sup>m</sup> = (ab)<sup>m</sup>)",
   "code": "AFQ",
   "options": null,
   "val": 49
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(5<sup>5</sup>)<sup>2</sup>",
   "ans": "(55)<sup>2</sup> =5<sup>5×2</sup> = 5<sup>10</sup> &emsp;&emsp;(Law (a<sup>m</sup>)<sup>n</sup> = a<sup>mn</sup>)",
   "code": "AFQ",
   "options": null,
   "val": 50
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(3<sup>15</sup> ÷ 3<sup>8</sup>)<sup></sup>",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 51,
   "ansimg": {
    "image": "ch13c7.jpg",
    "width": "400",
    "height": "40"
   }
  },
   
  {
   "heading": "Answer the following questions.",
   "qus": "Using laws of exponents, simplify and write the answer in exponential form.<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;9<sup>m</sup> ÷ 9<sup>3</sup>",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 52,
   "ansimg": {
    "image": "ch13c8.jpg",
    "width": "400",
    "height": "71"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 53,
    
   "pic": {
    "image": "ch13c9.jpg",
    "width": "91",
    "height": "30"
   },
   "ansimg": {
    "image": "ch13c9a.jpg",
    "width": "300",
    "height": "133"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;((4<sup>2</sup>)<sup>4</sup> × 4<sup>3</sup>) ÷ 4<sup>5</sup>",
   "ans": "(4<sup>2×4</sup> × 4<sup>3</sup>) ÷ 4<sup>5</sup><br> = (4<sup>8</sup> × 4<sup>3</sup>) ÷ 4<sup>5</sup> <br> = 4<sup>11</sup> ÷ 4<sup>5</sup> = 4<sup>11−5</sup> = 4<sup>6</sup>",
   "code": "AFQ",
   "options": null,
   "val": 54
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(16)<sup>4</sup> ÷ 4<sup>3</sup>",
   "ans": "(16)<sup>4</sup> ÷ 4<sup>3</sup><br>= (2<sup>4</sup>)<sup>4</sup> ÷ (2<sup>2</sup>)<sup>3</sup> <br>= 2<sup>4×4</sup> ÷ 2<sup>2×3</sup> <br>= 2<sup>16</sup> ÷ 2<sup>6</sup> <br>= 2<sup>16–6</sup> = 2<sup>10</sup>",
   "code": "AFQ",
   "options": null,
   "val": 55
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 56   ,
    
    "pic": {
    "image": "ch13c10.jpg",
    "width": "71",
    "height": "30"
   },
   "ansimg": {
    "image": "ch13c10a.jpg",
    "width": "135",
    "height": "100"
   }
   
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1<sup>0</sup> × 2<sup>0</sup> × 3<sup>0</sup>",
   "ans": "1<sup>0</sup> × 2<sup>0</sup> × 3<sup>0</sup><br>= 1 × 1 × 1<br>= 1",
   "code": "AFQ",
   "options": null,
   "val": 57,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1<sup>0</sup> + 2<sup>0</sup> + 3<sup>0</sup>",
   "ans": "1<sup>0</sup> + 2<sup>0</sup> + 3<sup>0</sup><br>= 1 + 1 + 1<br>= 3",
   "code": "AFQ",
   "options": null,
   "val": 58,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(10<sup>0</sup> + 16<sup>0</sup>) 12<sup>0</sup>",
   "ans": "(10<sup>0</sup> + 16<sup>0</sup>) × 12<sup>0</sup><br> = (1 + 1) × 1<br>= 2 × 1 = 2",
   "code": "AFQ",
   "options": null,
   "val": 59,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 60,
    
    "pic": {
    "image": "ch13c11.jpg",
    "width": "64",
    "height": "30"
   },
   "ansimg": {
    "image": "ch13c11a.jpg",
    "width": "293",
    "height": "150"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 61,
    
   "pic": {
    "image": "ch13c12.jpg",
    "width": "76",
    "height": "30"
   },
   "ansimg": {
    "image": "ch13c12a.jpg",
    "width": "117",
    "height": "100"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 62,
    
   "pic": {
    "image": "ch13c13.jpg",
    "width": "65",
    "height": "30"
   },
   "ansimg": {
    "image": "ch13c13a.jpg",
    "width": "162",
    "height": "100"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as a product of prime factors only in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;144 × 225",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 63,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch13c14a.jpg",
    "width": "400",
    "height": "360"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as a product of prime factors only in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;216",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 64,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch13c15a.jpg",
    "width": "400",
    "height": "264"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as a product of prime factors only in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;784",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 65,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch13c16a.jpg",
    "width": "213",
    "height": "300"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Express each of the following as a product of prime factors only in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;121 × 200",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 66,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch13c17a.jpg",
    "width": "300",
    "height": "269"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Simplify:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 67,
    
   "pic": {
    "image": "ch13c18.jpg",
    "width": "431",
    "height": "35",
   },
   "ansimg": {
    "image": "ch13c18a.jpg",
    "width": "446",
    "height": "275",
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Write the following numbers in the expanded forms:<br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1207341",
   "ans": "1207341 <br>&nbsp;&nbsp;&nbsp;&nbsp;= 1 × 10<sup>6</sup> + 2 × 10<sup>5</sup> + 7 × 10<sup>3</sup> + 3 × 10<sup>2</sup> + 4 × 10<sup>1</sup> + 1 × 10<sup>0</sup>;",
   "code": "AFQ",
   "options": null,
   "val": 68,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Write the following numbers in the expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;20018765",
   "ans": "20018765 <br>&nbsp;&nbsp;&nbsp;&nbsp;= 2 × 10<sup>7</sup> + 1 × 10<sup>4</sup> + 8 × 10<sup>3</sup> + 7 × 10<sup>2</sup> + 6 × 10<sup>1</sup> + 5 × 10<sup>0</sup>",
   "code": "AFQ",
   "options": null,
   "val": 69,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Write the following numbers in the expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;701239021",
   "ans": "701239021 <br>&nbsp;&nbsp;&nbsp;&nbsp;= 7 × 10<sup>8</sup> + 1 × 10<sup>6</sup> + 2 × 10<sup>5</sup> + 3 × 10<sup>4</sup> + 9 × 10<sup>3</sup> + 2 × 10<sup>1</sup> +1 × 10<sup>0</sup>",
   "code": "AFQ",
   "options": null,
   "val": 70,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
	}
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Write the following numbers in the expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;910121",
   "ans": "910121<br>&nbsp;&nbsp;&nbsp;&nbsp;= 9 × 10<sup>5</sup> + 1 × 10<sup>4</sup> + 1 × 10<sup>2</sup> + 2 × 10<sup>1</sup> + 1 × 10<sup>0</sup>",
   "code": "AFQ",
   "options": null,
   "val": 71,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
	}
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Write the following numbers in the expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3102315",
   "ans": "3102315<br>&nbsp;&nbsp;&nbsp;&nbsp;= 3 × 10<sup>6</sup> + 1 × 10<sup>5</sup> + 2 × 10<sup>3</sup> + 3 × 10<sup>2</sup> + 1 × 10<sup>1</sup> + 5 × 10<sup>0</sup>",
   "code": "AFQ",
   "options": null,
   "val": 72,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Write the following numbers in the expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;87521012",
   "ans": "87521012<br>&nbsp;&nbsp;&nbsp;&nbsp;= 8 × 10<sup>7</sup> + 7 × 10<sup>6</sup> + 5 × 10<sup>5</sup> + 2 × 10<sup>4</sup> + 1 × 10<sup>3</sup> + 1 × 10<sup>1</sup> + 2× 10<sup>0</sup>",
   "code": "AFQ",
   "options": null,
   "val": 73,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Find the number from each of the following expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;3 × 10<sup>5</sup> + 2 × 10<sup>4</sup> + 1 × 10<sup>3</sup> + 0 × 10<sup>2</sup> + 2 × 10<sup>1</sup> + 0 × 10<sup>0</sup>",
   "ans": "= 321020",
   "code": "AFQ",
   "options": null,
   "val": 74
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Find the number from each of the following expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;1 × 10<sup>4</sup> + 0 × 10<sup>3</sup> + 2 × 10<sup>2</sup> + 7 × 10<sup>1</sup> + 8 × 10<sup>0</sup>",
   "ans": "= 10278",
   "code": "AFQ",
   "options": null,
   "val": 75
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Find the number from each of the following expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;9 × 10<sup>6</sup> + 7 × 10<sup>4</sup> + 6 × 10<sup>3</sup> + 1 × 10<sup>0</sup>",
   "ans": "= 9076001",
   "code": "AFQ",
   "options": null,
   "val": 76
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Find the number from each of the following expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;7 × 10<sup>5</sup> + 1 × 10<sup>4</sup> + 2 × 10<sup>2</sup> + 4 × 10<sup>1</sup> + 9 × 10<sup>0</up>",
   "ans": "= 710249",
   "code": "AFQ",
   "options": null,
   "val": 77
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Find the number from each of the following expanded forms:<br>&nbsp;&nbsp;&nbsp;&nbsp;8 × 10<sup>5</sup> + 4 × 10<sup>2</sup> + 2 × 10<sup>1</sup>",
   "ans": "= 800420",
   "code": "AFQ",
   "options": null,
   "val": 78
   },
   
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following number in standard form:<br>&nbsp;&nbsp;&nbsp;&nbsp;2,00,00,000",
   "ans": "2,00,00,000 = 2 × 10<sup>7</sup>",
   "code": "AFQ",
   "options": null,
   "val": 79
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following number in standard form:<br>&nbsp;&nbsp;&nbsp;&nbsp;80, 00,000",
   "ans": "80,00,000 = 8 × 10<sup>6</sup>",
   "code": "AFQ",
   "options": null,
   "val": 80
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following number in standard form:<br>&nbsp;&nbsp;&nbsp;&nbsp;21,75,12,01,231",
   "ans": "21,75,12,01,231 = 2.1751201231 × 10<sup>10</sup>",
   "code": "AFQ",
   "options": null,
   "val": 81
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following number in standard form:<br>&nbsp;&nbsp;&nbsp;&nbsp;5,12,16,000",
   "ans": "5,12,16,000 = 5.1216 × 10<sup>7</sup>",
   "code": "AFQ",
   "options": null,
   "val": 82
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following number in standard form:<br>&nbsp;&nbsp;&nbsp;&nbsp;250012.78",
   "ans": "250012.78 = 2.5001278 × 10<sup>5</sup>",
   "code": "AFQ",
   "options": null,
   "val": 83
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following number in standard form:<br>&nbsp;&nbsp;&nbsp;&nbsp;2500127.8",
   "ans": "2500127.8 = 2.5001278 × 10<sup>6</sup>",
   "code": "AFQ",
   "options": null,
   "val": 84
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the number appearing in the following statements in standard form:<br>Age of oldest musical instrument is 42,000 years.",
   "ans": "4.2 × 10<sup>4</sup> years",
   "code": "AFQ",
   "options": null,
   "val": 85
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the number appearing in the following statements in standard form:<br>Age of the Earth is 4540000000 years",
   "ans": "4.54 × 10<sup>9</sup> years",
   "code": "AFQ",
   "options": null,
   "val": 86
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the number appearing in the following statements in standard form:<br>Circumference of Earth’s Moon is 10,920 km",
   "ans": "1.092 × 10<sup>4</sup> km",
   "code": "AFQ",
   "options": null,
   "val": 87
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the number appearing in the following statements in standard form:<br>Circumference of Jupiter is 439000 km.",
   "ans": "4.39 × 10<sup>5</sup> km",
   "code": "AFQ",
   "options": null,
   "val": 88
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the number appearing in the following statements in standard form:<br>Cost of building the ‘Burj Khalifa’ skyscraper in Dubai (2010) is $1500000000.",
   "ans": "$ 1.5 × 10<sup>9</sup>",
   "code": "AFQ",
   "options": null,
   "val": 89
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the number appearing in the following statements in standard form:<br>Diameter of Saturn’s ring is 282000 km.",
   "ans": "2.82 × 10<sup>5</sup> km",
   "code": "AFQ",
   "options": null,
   "val": 90
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Solve the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 91,
    
   "pic": {
    "image": "ch13c19.jpg",
    "width": "235",
    "height": "36",
   },
   "ansimg": {
    "image": "ch13c19a.jpg",
    "width": "400",
    "height": "120",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Solve the following:<br>Express 1080 in exponential notation.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 92,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch13c20a.jpg",
    "width": "240",
    "height": "262",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Solve the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 93,
    
   "pic": {
    "image": "ch13c21.jpg",
    "width": "247",
    "height": "32",
   },
   "ansimg": {
    "image": "ch13c21a.jpg",
    "width": "180",
    "height": "225",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Solve the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 94,
    
   "pic": {
    "image": "ch13c22.jpg",
    "width": "200",
    "height": "50",
   },
   "ansimg": {
    "image": "ch13c22a.jpg",
    "width": "195",
    "height": "164",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Solve the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 95,
    
   "pic": {
    "image": "ch13c23.jpg",
    "width": "385",
    "height": "35",
   },
   "ansimg": {
    "image": "ch13c23a.jpg",
    "width": "300",
    "height": "163",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following in usual form:<br>(i) 2.17 × 10<sup>5</sup> &emsp;&emsp;&emsp;&emsp;(ii) 4.13 × 10<sup>–2</sup>",
   "ans": "(i) 2.17 × 10<sup>5</sup> = 217000 &emsp;&emsp;&emsp;&emsp;(ii) 4.13 × 10<sup>–2</sup> = 0.0413",
   "code": "AFQ",
   "options": null,
   "val": 96,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Express the following numbers in standard form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) 21,01,000 <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(ii) 7,12,00,000<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(iii) 82,10,00,00,00,000 <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(iv) 2 billion",
   "ans": "(i) 21, 01,000 = 2.101 × 10<sup>6</sup> <br>(ii) 7,12,00,000 = 7.12 × 10<sup>7</sup><br>(iii) 82,10,00,00,00,000 = 8.21 × 10<sup>12</sup> <br> (iv) 2 billion = 2 × 10<sup>9</sup>",
   "code": "AFQ",
   "options": null,
   "val": 97,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null,
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 98,
    
   "pic": {
    "image": "ch13c24.jpg",
    "width": "160",
    "height": "34",
   },
   "ansimg": {
    "image": "ch13c24a.jpg",
    "width": "230",
    "height": "134",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 99,
    
   "pic": {
    "image": "ch13c25.jpg",
    "width": "160",
    "height": "31",
   },
   "ansimg": {
    "image": "ch13c25a.jpg",
    "width": "160",
    "height": "185",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(5<sup>11</sup> ÷ 5<sup>7</sup> )<sup>3</sup>",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 100,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch13c26a.jpg",
    "width": "65",
    "height": "146",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 101,
    
   "pic": {
    "image": "ch13c27.jpg",
    "width": "97",
    "height": "35",
   },
   "ansimg": {
    "image": "ch13c27a.jpg",
    "width": "105",
    "height": "119",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Simplify and express each of the following in exponential form:<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(13<sup>13</sup> ÷ 13<sup>3</sup>) × 13<sup>6</sup>",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 102,
    
   "pic": {
    "image": null,
    "width": null,
    "height": null,
   },
   "ansimg": {
    "image": "ch13c28a.jpg",
    "width": "100",
    "height": "121",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Evaluate:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 103,
    
   "pic": {
    "image": "ch13c29.jpg",
    "width": "84",
    "height": "30",
   },
   "ansimg": {
    "image": "ch13c29a.jpg",
    "width": "140",
    "height": "127",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Evaluate:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 104,
    
   "pic": {
    "image": "ch13c30.jpg",
    "width": "82",
    "height": "30",
   },
   "ansimg": {
    "image": "ch13c30a.jpg",
    "width": "280",
    "height": "157",
   }
   },
   {
   "heading": "Answer the following questions.",
   "qus": "Evaluate:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 105,
    
   "pic": {
    "image": "ch13c31.jpg",
    "width": "80",
    "height": "35",
   },
   "ansimg": {
    "image": "ch13c31a.jpg",
    "width": "219",
    "height": "230",
   }
   },
  
  ],
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 ],
 "un": "ch13_un",
 "afq": "ch13_afq",
 "snc": "ch13_snc",
 "jtf": "ch13_jtf",
 "ctt": "ch13_ctt",
 "grade": "Grade 7",
 "fib": "ch13_fib",
 "yn": "ch13_yn",
 "map": "ch13_map",
 "afow": "ch13_afow",
 "mcq": "ch13_mcq",
 "cs": "ch13_cs",
 "pbq": "ch13_pbq",
 "tf": "ch13_tf",
 "grf": "ch13_grf",
 "mtf": "ch13_mtf",
 "co": "ch13_co",
 "saq": "ch13_saq",
 "laq": "ch13_laq",
 "gowf": "ch13_gowf",
 "nf": "ch13_nf",
 "vsaq": "ch13_vsaq",
 "ctco": "ch13_ctco",
 "dtf": "ch13_dtf"
},
{
 "subject": "Math",
 "chapter": "ch14",
 "chapterName": "Chapter 14 - Symmetry",
 "all": [
  [{
   "heading": "Multiple Choice Question.",
   "qus": "A quarter-turn is rotation by how many degrees?",
   "ans": "(d) 90°",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 70°", "(b) 180°", "(c) 360°", "(d) 90°"],
   "val": 1
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "What is the rotational symmetry of a windmill?",
   "ans": "(a) 4",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 4", "(b) 5", "(c) 6", "(d) 8"],
   "val": 2
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "What is the rotational symmetry of a rectangle?",
   "ans": "(c) 2",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 4", "(b) 3", "(c) 2", "(d) 9"],
   "val": 3
  }],
  [{
   "heading": "State True or False.",
   "qus": "\n\t\tA polygon is an irregular polygon if all its sides are of equal length and all its angles are of equal measure.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 1
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tAn equilateral triangle has each angle measuring 60°.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 2
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tA rectangle is an example of regular polygon.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 3
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tEach regular polygon has as many lines of symmetry as its sides.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 4
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tA pyramid has only one vertex.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 5
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tOrder of rotational symmetry of a semicircle is one.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 6
  }, {
   "heading": "State True or False.",
  "qus": "\n\t\tA mirror reflection leads to symmetry.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 7
  }, {
   "heading": "State True or False.",
 "qus": "\n\t\tAn equilateral triangle has 4 lines of symmetry.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 8
  }, {
   "heading": "State True or False.",
 "qus": "\n\t\tThe order of rotation of a rectangle is 4 and the angle of rotation is 180°.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 9
  }, {
   "heading": "State True or False.",
 "qus": "\n\t\tA circle has 1 line of symmetry.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 10
  }, {
   "heading": "State True or False.",
 "qus": "\n\t\tA cube is a 3-D figure, while a circle is a 2-D figure.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 11
  }
  ],
  [],
  [
  {
   "heading": "Fill in the blanks.",
   "qus": "A ________ is about which the figure may be folded so that two parts of the figure will coincide.",
   "ans": "line symmetry",
   "code": "FIB",
   "val": 1
  }, {
   "heading": "Fill in the blanks.",
   "qus": "________ is a polygon which is made up of least number of line segments.",
   "ans": "Triangle",
   "code": "FIB",
   "val": 2
  }, {
   "heading": "Fill in the blanks.",
   "qus": "The diagonals of a square are ________ of each other.",
   "ans": "perpendicular bisectors",
   "code": "FIB",
   "val": 3
  }, {
   "heading": "Fill in the blanks.",
   "qus": "A ________ line helps to visualise a line of symmetry.",
   "ans": "mirror",
   "code": "FIB",
   "val": 4
  }, {
   "heading": "Fill in the blanks.",
   "qus": "The fixed point at which an object turns, without changing its size and shape, is known as ________. ",
   "ans": "point of rotation",
   "code": "FIB",
   "val": 5
  }, {
   "heading": "Fill in the blanks.",
   "qus": "A full turn means a rotation of ________.",
   "ans": "360°",
   "code": "FIB",
   "val": 6
  }, {
   "heading": "Fill in the blanks.",
   "qus": "________ is the most perfect symmetrical figure.",
   "ans": "Circle",
   "code": "FIB",
   "val": 7
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Alphabet ‘Z’ has ________ order of rotational symmetry. ",
   "ans": "2",
   "code": "FIB",
   "val": 8
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Alphabet ‘N’ has ________ order of rotational symmetry.",
   "ans": "2",
   "code": "FIB",
   "val": 9
  }, {
   "heading": "Fill in the blanks.",
   "qus": "ch14a1.jpg",
   "ans": null,
   "code": "FIB",
   "val": 10,
   "ansimg": {
    "image": "ch14a1a.jpg",
    "width": "420",
    "height": "115"
   }
  },{
   "heading": "Fill in the blanks.",
   "qus": "The corner of a solid shape is called its________. ",
   "ans": "vertex",
   "code": "FIB",
   "val": 11
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Letters H, N and S have a rotational symmetry of order________. ",
   "ans": "2",
   "code": "FIB",
   "val": 12
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Order of rotational symmetry of circle is ________. ",
   "ans": "Infinite",
   "code": "FIB",
   "val": 13
  }, {
   "heading": "Fill in the blanks.",
   "qus": "A parallelogram has ________ line of symmetry. ",
   "ans": "zero",
   "code": "FIB",
   "val": 14
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Each face of a cuboid is a________. ",
   "ans": "square",
   "code": "FIB",
   "val": 15
  }
  ],
  [],
  [],
  [],
  [],
  [],
  [],
  [{
   "heading": "Answer the following questions.",
   "qus": "Copy the figures with punched holes and find the axes of symmetry for the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 1,
    
   "pic": {
    "image": "ch14c1.jpg",
    "width": "110",
    "height": "60"
   },
   "ansimg": {
    "image": "ch14c1a.jpg",
    "width": "105",
    "height": "60"
   }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "Copy the figures with punched holes and find the axes of symmetry for the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 2,
    
   "pic": {
    "image": "ch14c2.jpg",
    "width": "59",
    "height": "51"
   },
   "ansimg": {
    "image": "ch14c2a.jpg",
    "width": "74",
    "height": "64"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Copy the figures with punched holes and find the axes of symmetry for the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 3,
    
   "pic": {
    "image": "ch14c3.jpg",
    "width": "100",
    "height": "65"
   },
   "ansimg": {
    "image": "ch14c3a.jpg",
    "width": "101",
    "height": "59"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Copy the figures with punched holes and find the axes of symmetry for the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 4,
    
   "pic": {
    "image": "ch14c4.jpg",
    "width": "65",
    "height": "65"
   },
   "ansimg": {
    "image": "ch14c4a.jpg",
    "width": "64",
    "height": "70"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Copy the figures with punched holes and find the axes of symmetry for the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 5,
    
   "pic": {
    "image": "ch14c5.jpg",
    "width": "65",
    "height": "60"
   },
   "ansimg": {
    "image": "ch14c5a.jpg",
    "width": "84",
    "height": "60"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Copy the figures with punched holes and find the axes of symmetry for the following:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 6,
    
   "pic": {
    "image": "ch14c6.jpg",
    "width": "65",
    "height": "60"
   },
   "ansimg": {
    "image": "ch14c6a.jpg",
    "width": "66",
    "height": "71"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Given the lines of symmetry, find other hole(s):",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 7,
    
   "pic": {
    "image": "ch14c7.jpg",
    "width": "97",
    "height": "44"
   },
   "ansimg": {
    "image": "ch14c7a.jpg",
    "width": "98",
    "height": "45"
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "Given the lines of symmetry, find other hole(s):",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 8,
    
   "pic": {
    "image": "ch14c8.jpg",
    "width": "76",
    "height": "57"
   },
   "ansimg": {
    "image": "ch14c8a.jpg",
    "width": "71",
    "height": "58"
   }
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Given the lines of symmetry, find other hole(s):",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 9,
    
   "pic": {
    "image": "ch14c9.jpg",
    "width": "69",
    "height": "71"
   },
   "ansimg": {
    "image": "ch14c9a.jpg",
    "width": "70",
    "height": "62"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Given the lines of symmetry, find other hole(s):",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 10,
    
   "pic": {
    "image": "ch14c10.jpg",
    "width": "70",
    "height": "63"
   },
   "ansimg": {
    "image": "ch14c10a.jpg",
    "width": "66",
    "height": "62"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "In the following figures, the mirror line is given as a dotted line. Complete each figure performing reflection in the dotted lime.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 11,
    
   "pic": {
    "image": "ch14c11.jpg",
    "width": "55",
    "height": "70"
   },
   "ansimg": {
    "image": "ch14c11a.jpg",
    "width": "105",
    "height": "70"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "In the following figures, the mirror line is given as a dotted line. Complete each figure performing reflection in the dotted lime.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 12,
    
   "pic": {
    "image": "ch14c12.jpg",
    "width": "70",
    "height": "35"
   },
   "ansimg": {
    "image": "ch14c12a.jpg",
    "width": "55",
    "height": "70"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "In the following figures, the mirror line is given as a dotted line. Complete each figure performing reflection in the dotted lime.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 13,
    
   "pic": {
    "image": "ch14c13.jpg",
    "width": "55",
    "height": "70"
   },
   "ansimg": {
    "image": "ch14c13a.jpg",
    "width": "60",
    "height": "70"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "In the following figures, the mirror line is given as a dotted line. Complete each figure performing reflection in the dotted lime.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 14,
    
   "pic": {
    "image": "ch14c14.jpg",
    "width": "55",
    "height": "70"
   },
   "ansimg": {
    "image": "ch14c14a.jpg",
    "width": "60",
    "height": "70"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Copy the figure given here.<br> Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetrie about a diagonal.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 15,
    
   "pic": {
    "image": "ch14c15.jpg",
    "width": "92",
    "height": "79"
   },
   "ansimg": {
    "image": "ch14c15a.jpg",
    "width": "104",
    "height": "91"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "State the number of lines of symmetry for the following figures.<br> A parallelogram",
   "ans": "None",
   "code": "AFQ",
   "options": null,
   "val": 16
  },
  
   {
   "heading": "Answer the following questions.",
   "qus": "State the number of lines of symmetry for the following figures.<br>A regular hexagon",
   "ans": "6 lines of symmetry",
   "code": "AFQ",
   "options": null,
   "val": 17
  },
  
   {
   "heading": "Answer the following questions.",
   "qus": "State the number of lines of symmetry for the following figures.<br> A circle",
   "ans": "Infinite",
   "code": "AFQ",
   "options": null,
   "val": 18
  },
  
   {
   "heading": "Answer the following questions.",
   "qus": "State the number of lines of symmetry for the following figures.<br>An octagon",
   "ans": "8 lines of symmetry",
   "code": "AFQ",
   "options": null,
   "val": 19
  },
  {
   "heading": "Answer the following questions.",
   "qus": "What letters of English alphabet have both horizontal and vertical mirror reflection symmetry?",
   "ans": "H, I, O, X have both horizontal and vertical mirror reflection symmetry.",
   "code": "AFQ",
   "options": null,
   "val": 20
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Give two examples of shapes with no line of symmetry.",
   "ans": "A Trapezium OR A parallelogram OR A scalene triangle.",
   "code": "AFQ",
   "options": null,
   "val": 21
  },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Which of the following figures have rotational symmetry of order more than 1?",
   "ans": "Has rotational symmetry 1",
   "code": "AFQ",
   "options": null,
   "val": 22,
    
   "pic": {
    "image": "ch14c16.jpg",
    "width": "60",
    "height": "40"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
   },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Which of the following figures have rotational symmetry of order more than 1?",
   "ans": "Has rotational symmetry 2",
   "code": "AFQ",
   "options": null,
   "val": 23,
    
   "pic": {
    "image": "ch14c17.jpg",
    "width": "75",
    "height": "35"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
   },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Which of the following figures have rotational symmetry of order more than 1?",
   "ans": "Has rotational symmetry 2",
   "code": "AFQ",
   "options": null,
   "val": 24,
    
   "pic": {
    "image": "ch14c18.jpg",
    "width": "75",
    "height": "35"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
   },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Which of the following figures have rotational symmetry of order more than 1?",
   "ans": "Has rotational symmetry 2",
   "code": "AFQ",
   "options": null,
   "val": 25,
    
   "pic": {
    "image": "ch14c19.jpg",
    "width": "60",
    "height": "60"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
   },
  
  {
   "heading": "Answer the following questions.",
   "qus": "Which of the following figures have rotational symmetry of order more than 1?",
   "ans": "Has rotational symmetry 2",
   "code": "AFQ",
   "options": null,
   "val": 26,
    
   "pic": {
    "image": "ch14c20.jpg",
    "width": "45",
    "height": "60"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Give the order of rotational symmetry for each figure.",
   "ans": "Has rotational symmetry 4",
   "code": "AFQ",
   "options": null,
   "val": 27,
    
   "pic": {
    "image": "ch14c21.jpg",
    "width": "95",
    "height": "90"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Give the order of rotational symmetry for each figure.",
   "ans": "Has rotational symmetry 1",
   "code": "AFQ",
   "options": null,
   "val": 28,
    
   "pic": {
    "image": "ch14c22.jpg",
    "width": "120",
    "height": "75"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Give the order of rotational symmetry for each figure.",
   "ans": "Has rotational symmetry 4",
   "code": "AFQ",
   "options": null,
   "val": 29,
    
   "pic": {
    "image": "ch14c23.jpg",
    "width": "70",
    "height": "70"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Give the order of rotational symmetry for each figure.",
   "ans": "Has rotational symmetry 2",
   "code": "AFQ",
   "options": null,
   "val": 30,
    
   "pic": {
    "image": "ch14c24.jpg",
    "width": "100",
    "height": "50"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Give the order of rotational symmetry for each figure.",
   "ans": "Has rotational symmetry 2",
   "code": "AFQ",
   "options": null,
   "val": 31,
    
   "pic": {
    "image": "ch14c25.jpg",
    "width": "65",
    "height": "60"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Give the order of rotational symmetry for each figure.",
   "ans": "Has rotational symmetry 2",
   "code": "AFQ",
   "options": null,
   "val": 32,
    
   "pic": {
    "image": "ch14c26.jpg",
    "width": "85",
    "height": "40"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "By what minimum angle does a regular octagon rotate so as to coincide with its original position for the first time?",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 33,
      
   "ansimg": {
    "image": "ch14c27a.jpg",
    "width": "434",
    "height": "44"
	
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Draw all lines of symmetry for each of the following figures as given below:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 34,
    
   "pic": {
    "image": "ch14c28.jpg",
    "width": "90",
    "height": "80"
   },
   "ansimg": {
    "image": "ch14c28a.jpg",
    "width": "100",
    "height": "100"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Draw all lines of symmetry for each of the following figures as given below:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 35,
    
   "pic": {
    "image": "ch14c29.jpg",
    "width": "85",
    "height": "65"
   },
   "ansimg": {
    "image": "ch14c29a.jpg",
    "width": "100",
    "height": "90"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Draw all lines of symmetry for each of the following figures as given below:",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 36,
    
   "pic": {
    "image": "ch14c30.jpg",
    "width": "55",
    "height": "95"
   },
   "ansimg": {
    "image": "ch14c30a.jpg",
    "width": "85",
    "height": "105"
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Tell whether each figure has rotational symmetry or not.",
   "ans": "Figure has rotational symmetry of 2.",
   "code": "AFQ",
   "options": null,
   "val": 37,
    
   "pic": {
    "image": "ch14c31.jpg",
    "width": "95",
    "height": "65"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Tell whether each figure has rotational symmetry or not.",
   "ans": "Figure has rotational symmetry of 4.",
   "code": "AFQ",
   "options": null,
   "val": 38,
    
   "pic": {
    "image": "ch14c32.jpg",
    "width": "85",
    "height": "80"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Tell whether each figure has rotational symmetry or not.",
   "ans": "Figure has rotational symmetry of 2.",
   "code": "AFQ",
   "options": null,
   "val": 39,
    
   "pic": {
    "image": "ch14c33.jpg",
    "width": "90",
    "height": "80"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  {
   "heading": "Answer the following questions.",
   "qus": "Which of the following figures do not have line Symmetry?",
   "ans": "Figure (a) and (c) have line of symmetry. But figure (b) does not have any line of symmetry.",
   "code": "AFQ",
   "options": null,
   "val": 40,
    
   "pic": {
    "image": "ch14c34.jpg",
    "width": "400",
    "height": "61"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  ],
  [],
  [],
  [],
  [],
  [],
  [],
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  [],
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  []
 ],
 "un": "ch14_un",
 "afq": "ch14_afq",
 "snc": "ch14_snc",
 "jtf": "ch14_jtf",
 "ctt": "ch14_ctt",
 "grade": "Grade 7",
 "fib": "ch14_fib",
 "yn": "ch14_yn",
 "map": "ch14_map",
 "afow": "ch14_afow",
 "mcq": "ch14_mcq",
 "cs": "ch14_cs",
 "pbq": "ch14_pbq",
 "tf": "ch14_tf",
 "grf": "ch14_grf",
 "mtf": "ch14_mtf",
 "co": "ch14_co",
 "saq": "ch14_saq",
 "laq": "ch14_laq",
 "gowf": "ch14_gowf",
 "nf": "ch14_nf",
 "vsaq": "ch14_vsaq",
 "ctco": "ch14_ctco",
 "dtf": "ch14_dtf"
},
{
 "subject": "Math",
 "chapter": "ch15",
 "chapterName": "Chapter 15 - Visualising Solid Shapes",
 "all": [
  [{
   "heading": "Multiple Choice Question.",
   "qus": "A cube has _________ Faces.",
   "ans": "(b) 6",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 4", "(b) 6", "(c) 8", "(d) 10"],
   "val": 1
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "There are _________ number of edges in a cube.",
   "ans": "(a) 12",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 12", "(b) 10", "(c) 14", "(d) 16"],
   "val": 2
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "There are _________ number of vertices in a cube.",
   "ans": "(c) 8",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) 6", "(b) 7", "(c) 8", "(d) 9"],
   "val": 3
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "ch15d1.jpg",
   "ans": "(c) 4, 4",
   "code": "MCQ",
   "width": "450",
   "height": "100",
   "optn": null,
   "options": ["(a) 3, 4", "(b) 6, 6", "(c) 4, 4", "(d) 6, 4"],
   "val": 4
   
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "ch15d2.jpg",
   "ans": "(b) rectangular pyramid",
   "code": "MCQ",
   "width": "300",
   "height": "100",
   "optn": null,
   "options": ["(a) triangular pyramid", "(b) rectangular pyramid", "(c) rectangular prism", "(d) triangular prism"],
   "val": 5
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "ch15d3.jpg",
   "ans": "(c) triangular prism",
   "code": "MCQ",
   "width": "300",
   "height": "100",
   "optn": null,
   "options": ["(a) triangular pyramid", "(b) rectangular prism", "(c) triangular prism", "(d) rectangular pyramid"],
   "val": 6
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "All faces of a pyramid are always",
   "ans": "(d) None of these",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) triangular", "(b) rectangular", "(c) congruent", "(d) None of these"],
   "val": 7
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "A solid that has only one vertex is",
   "ans": "(c) cone",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) pyramid", "(b) cube", "(c) cone", "(d) cylinder"],
   "val": 8
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "Out of the following which is a 3-D figure?",
   "ans": "(b) sphere",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) square", "(b) sphere", "(c) triangle", "(d) circle"],
   "val": 9
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "A solid that has two opposite identical faces and other faces parallelograms is a",
   "ans": "(a) prism",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) prism", "(b) pyramid", "(c) cone", "(d) sphere"],
   "val": 10
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "The solid with one circular face, one curved surface and one vertex is known as",
   "ans": "(a) cone",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) cone", "(b) sphere", "(c) cylinder", "(d) prism"],
   "val": 11
  }, {
   "heading": "Multiple Choice Question.",
   "qus": "When a torch is pointed towards one of the vertical edges of a cube, you get a shadow of cube in the shape of",
   "ans": "(b) rectangle but not a square",
   "code": "MCQ",
   "width": null,
   "height": null,
   "optn": null,
   "options": ["(a) square", "(b) rectangle but not a square", "(c) circle", "(d) triangle"],
   "val": 12
  }],
  [{
   "heading": "State True or False.",
   "qus": "\n\t\tSquare is a three-dimensional shape.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 1
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tQuadrilateral is a two-dimensional shape.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 2
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tPyramid is a three-dimensional shape.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 3
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tCircle is a three-dimensional shape.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 4
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tIn oblique sketch of the solid, the measurements are kept proportional.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 5
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tAn isometric sketch does not have proportional length.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 6
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tA cylinder has no vertex.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 7
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tAll the faces, except the base of a square pyramid, are triangular.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 8
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tA pyramid has only one vertex.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 9
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tA triangular prism has 5 faces, 9 edges and 6 vertices.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 10
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tIf the base of a pyramid is a square, it is called a square pyramid.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 11
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tA rectangular pyramid has 5 rectangular faces.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 12
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tRectangular prism and cuboid refer to the same solid.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 13
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tWhile rectangle is a 2-D figure, cuboid is a 3-D figure.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 14
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tTwo-dimensional figures are also called plane figures.\n\t\t_________\n\t",
   "ans": "True",
   "code": "TF",
   "val": 15
  }, {
   "heading": "State True or False.",
   "qus": "\n\t\tA prism has four faces.\n\t\t_________\n\t",
   "ans": "False",
   "code": "TF",
   "val": 16
  }],
  [],
  [{
   "heading": "Fill in the blanks.",
   "qus": "________ dimensional objects occupy space.",
   "ans": "Three",
   "code": "FIB",
   "val": 1
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Three-dimensional shapes are also called ________ shapes.",
   "ans": "solid",
   "code": "FIB",
   "val": 2
  }, {
   "heading": "Fill in the blanks.",
   "qus": "ch15a1.jpg",
   "ans": "Cube",
   "code": "FIB",
   "val": 3
  }, {
   "heading": "Fill in the blanks.",
   "qus": "ch15a2.jpg",
   "ans": "Cylinder",
   "code": "FIB",
   "val": 4
  }, {
   "heading": "Fill in the blanks.",
   "qus": "ch15a3.jpg",
   "ans": "Cone",
   "code": "FIB",
   "val": 5
  }, {
   "heading": "Fill in the blanks.",
   "qus": "If two cubes of 1 cm × 1 cm × 1 cm are placed side by side, the dimensions the of resulting cuboid l = ________,\nb = ________ , h = ________.",
   "ans": "2 cm, 1 cm, 1 cm",
   "code": "FIB",
   "val": 6
  }, {
   "heading": "Fill in the blanks.",
   "qus": "To obtain a cross section of an object ________ cut is to be done.",
   "ans": "vertical",
   "code": "FIB",
   "val": 7
  }, {
   "heading": "Fill in the blanks.",
   "qus": "________ shape is obtained when a vertical cut is given to a cube.",
   "ans": "Square",
   "code": "FIB",
   "val": 8
  }, {
   "heading": "Fill in the blanks.",
   "qus": "________ shaped cross section is obtained when a horizontal cut is given to a sphere.",
   "ans": "Circle",
   "code": "FIB",
   "val": 9
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Shadows are good way to illustrate how three-dimensional objects can be viewed in ________ dimensions.",
   "ans": "two",
   "code": "FIB",
   "val": 10
  }, {
   "heading": "Fill in the blanks.",
   "qus": "For shadow play, source of ________ is required.",
   "ans": "light",
   "code": "FIB",
   "val": 11
  }, {
   "heading": "Fill in the blanks.",
   "qus": "If a torchlight is bent in front of a cone ________ shaped shadow is obtained.",
   "ans": "triangle",
   "code": "FIB",
   "val": 12
  }, {
   "heading": "Fill in the blanks.",
   "qus": "ch15a4.jpg",
   "ans": "3",
   "code": "FIB",
   "val": 13
  }, {
   "heading": "Fill in the blanks.",
   "qus": "ch15a5.jpg",
   "ans": "2",
   "code": "FIB",
   "val": 14
  }, {
   "heading": "Fill in the blanks.",
   "qus": "The common portion of two adjacent faces of a cuboid is called ________.",
   "ans": "edge",
   "code": "FIB",
   "val": 15
  }, {
   "heading": "Fill in the blanks.",
   "qus": "A plane surface of a solid enclosed by edges is called ________.",
   "ans": "face",
   "code": "FIB",
   "val": 16
  }, {
   "heading": "Fill in the blanks.",
   "qus": "The corner of a solid shape is called its ________.",
   "ans": "vertex ",
   "code": "FIB",
   "val": 17
  }, {
   "heading": "Fill in the blanks.",
   "qus": "A solid with no vertex is________.",
   "ans": "sphere",
   "code": "FIB",
   "val": 18
  }, {
   "heading": "Fill in the blanks.",
   "qus": "A triangular prism has ________ faces, ________ edges and ________ vertices.",
   "ans": "5, 9, 6",
   "code": "FIB",
   "val": 19
  }, {
   "heading": "Fill in the blanks.",
   "qus": "A triangular pyramid has ________faces, ________ edges and ________ vertices.",
   "ans": "4, 6, 4",
   "code": "FIB",
   "val": 20
  }, {
   "heading": "Fill in the blanks.",
   "qus": "Out of ________ faces of a triangular prism, ________ are rectangles and ________ are triangles.",
   "ans": "5, 3, 2",
   "code": "FIB",
   "val": 21
  }, {
   "heading": "Fill in the blanks.",
   "qus": "The base of a triangular pyramid is a ________.",
   "ans": "triangle",
   "code": "FIB",
   "val": 22
  }],
  [],
  [{
   "heading": "Match the Following.",
   "qus": " ",
   "ans": "1. (c)  2. (d) 3. (a)  4. (e)  5. (f)  6. (b)",
   "code": "MTF",
   "options": null,
   "val": 1,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15e1.jpg",
    "width": "400",
    "height": "425"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  }],
  [],
  [],
  [],
  [],
  [{
   "heading": "Answer the following questions.",
   "qus": "Identify the nets which can be used to make cubes.",
   "ans": "Cube’s net are (ii), (iv)",
   "code": "AFQ",
   "options": null,
   "val": 1,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c1.jpg",
    "width": "300",
    "height": "200"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  }, 
  
  {
   "heading": "Answer the following questions.",
   "qus": "Dice are cubes with dots on each face. Opposite faces of a dice always have a total of seven dots on them. Hence, there is a net to make a dice; the number inserted in each square indicates the number of dots in net box.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 2,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c2.jpg",
    "width": "100",
    "height": "150"
   },
   "ansimg": {
    "image": "ch15c2a.jpg",
    "width": "100",
    "height": "150"
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "Use isometric dot paper and make an isometric sketch for each of the given shapes.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 3,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c3.jpg",
    "width": "150",
    "height": "230"
   },
   "ansimg": {
    "image": "ch15c3a.jpg",
    "width": "100",
    "height": "150"
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "The dimension of a cuboid are 4 cm, 2 cm, 1 cm. Draw two different isometric sketches of this cuboid.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 4,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
    "image": "ch15c4a.jpg",
    "width": "400",
    "height": "120"
   }
  }, 
  
  {
   "heading": "Answer the following questions.",
   "qus": "Three cubes each with 1 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 5,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
    "image": "ch15c5a.jpg",
    "width": "400",
    "height": "120"
   }
  }, 
  
  {
   "heading": "Answer the following questions.",
   "qus": "Make an oblique sketch for the given isometric shape.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 6,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c6.jpg",
    "width": "150",
    "height": "150"
   },
   "ansimg": {
    "image": "ch15c6a.jpg",
    "width": "150",
    "height": "150"
   }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "What cross section do you get when you give a<br>(i) Vertical cut<br>(ii) Horizontal cut to the following solids?<br> (a) a marble (b) a glass (c) a cuboidal compass box (d) a funnel (e) a die",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 7,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": null,
    "width": null,
    "height": null
   },
   "ansimg": {
    "image": "ch15c7ai.jpg",
    "width": "460",
    "height": "350"
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow.",
   "ans": "Circle",
   "code": "AFQ",
   "options": null,
   "val": 8,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c8i.jpg",
    "width": "80",
    "height": "174"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
  
   
  {
   "heading": "Answer the following questions.",
   "qus": "A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow.",
   "ans": "Line",
   "code": "AFQ",
   "options": null,
   "val": 9,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c8ii.jpg",
    "width": "150",
    "height": "178"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },
 
  {
   "heading": "Answer the following questions.",
   "qus": "A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow.",
   "ans": "Rectangle",
   "code": "AFQ",
   "options": null,
   "val": 10,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c8iii.jpg",
    "width": "110",
    "height": "178"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  },

  {
   "heading": "Answer the following questions.",
   "qus": "Here are shadows of some 3-D objects, when seen under the lamp of the overhead projector. Identify the solids that match each shadow.",
   "ans": "Cricket ball, marble, plate.",
   "code": "AFQ",
   "options": null,
   "val": 11,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c9i.jpg",
    "width": "95",
    "height": "120"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  }, 
  
  {
   "heading": "Answer the following questions.",
   "qus": "Here are shadows of some 3-D objects, when seen under the lamp of the overhead projector. Identify the solids that match each shadow.",
   "ans": "Die, Rubiks cube.",
   "code": "AFQ",
   "options": null,
   "val": 12,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c9ii.jpg",
    "width": "115",
    "height": "120"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "Here are shadows of some 3-D objects, when seen under the lamp of the overhead projector. Identify the solids that match each shadow.",
   "ans": "Funnel, ice-cream cone.",
   "code": "AFQ",
   "options": null,
   "val": 13,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c9iii.jpg",
    "width": "115",
    "height": "120"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  }, 
  {
   "heading": "Answer the following questions.",
   "qus": "Here are shadows of some 3-D objects, when seen under the lamp of the overhead projector. Identify the solids that match each shadow.",
   "ans": "Eraser, Book, Suitcase.",
   "code": "AFQ",
   "options": null,
   "val": 14,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c9iv.jpg",
    "width": "115",
    "height": "95"
   },
   "ansimg": {
    "image": null,
    "width": null,
    "height": null
   }
  }, 
   
  {
   "heading": "Answer the following questions.",
   "qus": "Draw the top, side and front views of the solids given below.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 15,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c10i.jpg",
    "width": "230",
    "height": "154"
   },
   "ansimg": {
    "image": "ch15c10ai.jpg",
    "width": "495",
    "height": "105"
   }
  },

{
   "heading": "Answer the following questions.",
   "qus": "Draw the top, side and front views of the solids given below.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 16,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c10ii.jpg",
    "width": "180",
    "height": "154"
   },
   "ansimg": {
    "image": "ch15c10aii.jpg",
    "width": "495",
    "height": "105"
   }
  },   
  
  {
   "heading": "Answer the following questions.",
   "qus": "Draw a solid using the top, side and front view as shown below.",
   "ans": null,
   "code": "AFQ",
   "options": null,
   "val": 17,
   "option1": [],
   "option2": [],
   "option3": [],
   "option4": [],
   "aoption1": [],
   "aoption2": [],
   "aoption3": [],
   "aoption4": null,
   "pic": {
    "image": "ch15c11.jpg",
    "width": "500",
    "height": "154"
   },
   "ansimg": {
    "image": "ch15c11a.jpg",
    "width": "300",
    "height": "266"
   }
  }],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  [],
  []
 ],
 "un": "ch15_un",
 "afq": "ch15_afq",
 "snc": "ch15_snc",
 "jtf": "ch15_jtf",
 "ctt": "ch15_ctt",
 "grade": "Grade 7",
 "fib": "ch15_fib",
 "yn": "ch15_yn",
 "map": "ch15_map",
 "afow": "ch15_afow",
 "mcq": "ch15_mcq",
 "cs": "ch15_cs",
 "pbq": "ch15_pbq",
 "tf": "ch15_tf",
 "grf": "ch15_grf",
 "mtf": "ch15_mtf",
 "co": "ch15_co",
 "saq": "ch15_saq",
 "laq": "ch15_laq",
 "gowf": "ch15_gowf",
 "nf": "ch15_nf",
 "vsaq": "ch15_vsaq",
 "ctco": "ch15_ctco",
 "dtf": "ch15_dtf"
}
    
    
    
]

Youez - 2016 - github.com/yon3zu
LinuXploit