Simplification
Ten quantitative aptitude questions, each marked as you answer.
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Simplify: 1⁄3 + 1⁄5 + 1⁄5
Answer and working
Answer A
Over the common denominator 30: the sum is 11⁄15. Adding tops and bottoms separately (5/21) is the trap.
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What is √400 + √361 − √169?
Answer and working
Answer D
20 + 19 − 13 = 26.
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Simplify: 5⁄6 + 3⁄5 + 1⁄3
Answer and working
Answer D
Over the common denominator 30: the sum is 53⁄30. Adding tops and bottoms separately (12/19) is the trap.
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What is the value of 96² − 40²?
Answer and working
Answer D
a² − b² = (a + b)(a − b) = 136 × 56 = 7,616.
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What is √324 + √900 − √576?
Answer and working
Answer B
18 + 30 − 24 = 24.
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What is √576 + √529 − √324?
Answer and working
Answer D
24 + 23 − 18 = 29.
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Simplify: 1⁄2 + 1⁄2 + 1⁄4
Answer and working
Answer D
Over the common denominator 24: the sum is 5⁄4. Adding tops and bottoms separately (6/16) is the trap.
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What is √529 + √324 − √225?
Answer and working
Answer D
23 + 18 − 15 = 26.
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What is √256 + √841 − √576?
Answer and working
Answer B
16 + 29 − 24 = 21.
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What is √841 + √324 − √289?
Answer and working
Answer A
29 + 18 − 17 = 30.
More quantitative aptitude: Percentages, Profit, loss and discount, Simple interest, Compound interest, Ratio and proportion, Averages.