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deepshikhasingh15
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G7 Rational Numbers
Math quiz helps us to enhance brains neural network.
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1) In an Olympiad test, a student score 3/4 of the total marks in Section A and 2/3 of the total in Section B.
If both sections carry equal marks, the overall score as a fraction of total marks is:
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2) Mark scored 3/4 on Test A and 4/5 on Test B.
Each test is out of 60.
What are total marks obtained?
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3) Which of these represents the same rational number in two ways?
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4) Which of these operations can turn a rational into an integer?
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5) Simplify:
Percentage = (18 / 24) × 100 = 75%
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6) The reciprocal of a non-zero rational number a/b is:
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7) Which of the following is CORRECT?
Common denominator is 24: 7/8 = 21/24, 5/6 = 20/24, 11/24 = 11/24 Calculate: 21/24 – 20/24 + 11/24 = (21 – 20 + 11)/24 = 12/24 = 1/2 Wait, 1/2 not listed, re-check: Options closest to 1/2 is none, so check if a mistake: (7/8) – (5/6) + (11/24) = (21/24) – (20/24) + (11/24) = 12/24 = 1/2 Correct answer is 1/2 but not given. So correct answer is 1/2.
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8) Express the result in the form of a rational number:
(3.1 + 1.4 + 2.0) + (7/2 + 3/2 + 3/2)
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9) A wizard mixes 3/4 vial of Moonlight Potion with 0.65 vial of Sunfire Potion.He needs exactly 7/4 vials for the spell.
How much more potion does he still need?
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10) Which of the following is always true?
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11) Evaluate:
Common denominator 30: (-3/5) = -18/30, (7/10) = 21/30, (2/3) = 20/30 Sum: (-18 + 21 – 20)/30 = (-17)/30 = -17/30 (approx -0.5667) Closest to -1/30 = -0.0333 so check carefully: (-18 + 21 – 20) = -17 So answer is -17/30 not matching any answer exactly, so re-check options: Answer 3 (-1/30) is closest but incorrect; best to write -17/30 as exact. Hence correct answer is none, or nearest is -1/6? (-1/6 = -5/30) no. So write correct answer as -17/30.
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12) Which rational number lies between –3/8 and 1/4?
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13) Simplify:
Increase = 15% of 1200 = 0.15 × 1200 = 180 New population = 1200 + 180 = 1380 V
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14) Fill in the blanks.
In two rational numbers x/y and m/n, if xn < ym, then __(i)__ and if xn > ym, then __(ii)__.
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15) Which of the following statements is false?
Increase = 65 – 50 = 15 Percentage increase = (15/50) × 100 = 30% Correct answer is 30%
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16) Which statement about ordering is true?
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17) If the sum of two rational numbers is 7/12 and one of them is -5/18.
Find the multiplicative inverse of the other rational number.
Division is multiplication by reciprocal: (7/12) × (18/14) = (7 × 18) / (12 × 14) = 126 / 168 = 3/4
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18) A theatre refunds 2/7 of ticket price due to a system error and then gives an extra refund of ₹0.15.If the ticket cost is ₹1, how much refund is given?
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19) Evaluate:
(4/7)x = (5/14) + (3/14) = 8/14 = 4/7 x = (4/7) ÷ (4/7) = 1
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20) Which of these decimals represents a rational number?
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