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SSC CGL 2023 PYQ — Question 68

SSC CGL - 27 July 2023 - Shift 1 • Quantitative Aptitude • Q68

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A man, a woman and a boy can complete job in 3, 5 and 15 days, respectively. How many boys must assist 1 man and 1 woman to complete the job in 15\frac{1}{5} of a day?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 67.

Let the number of boys needed be x.

Work done by a man in 1 day = 131\over 3

 Work done by a woman in 1 day = 151\over 5

 Work done by a boy in 1 day = 1151\over 15

According to the given question,

1 × 131\over 3 + 1 × 151\over 5 + x × 1151\over 15 = 1151\over {1 \over 5}

⇒ 8 + x = 75

⇒ x = 67

Hence the number of boys needed is 67.