SSC GD 2023 PYQ — Question 48

SSC GD Constable (English) - 17 Jan 2023 - Shift 2 • Quantitative Aptitude • Q48

14 men can build a 55 m long wall in 5 days. What length of a similar wall can be built by 21 men in 4 days?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 66 m.

We know that,

(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W2 

where, M = Men, D = Days, H = hours, and W = work done

Now, according to the question

⇒ (14 × 5)/55 = (21 × 4)/W2

⇒ 14/11 = (21 × 4)/W2

⇒ 2/11 = (3 × 4)/W2

⇒ W2 = (3 × 4 × 11)/2 

⇒ W2 = (3 × 2 × 11)

⇒ W2 = 66 m