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SSC Selection Post 2019 PYQ — Question 52

SSC Selection Post - Matriculation Level 2019 - 15 Oct 2019 • Quantitative Aptitude • Q52

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A certain number of men can do a piece of work in 54 days. If there were 30 more men, it would take 18 days less to complete the work. The number of men, initially, is:

 

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 60

Let total work = LCM(54, 36) = 108 units

Initial men = x, so:
Work/day = 108 ÷ 54 = 2 ⇒ Each man = 2/x

With 30 more men:
⇒ Work/day = 108 ÷ 36 = 3

(x+30)×2x=3⇒2x+60=3x⇒x=60\quad (x + 30) \times \frac{2}{x} = 3 \Rightarrow 2x + 60 = 3x \Rightarrow x = 60