SSC CGL 2021 PYQ — Question 73

SSC CGL - 17 Aug 2021 - Shift 1 • Quantitative Aptitude • Q73

2 men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 22.

Let the efficiency of 1 man and 1 woman be 'm' and 'w' unit.

Now according to the question,

⇒ (2m + 7w) × 28 = (6m + 16w) × 11.

⇒ m = 2w.

Total work = 11w × 28.

Number of days required by 7 men to finish the same work,

⇒11w×287m=11w×2814w\Rightarrow \frac{11w \times 28}{7m} = \frac{11w \times 28}{14w}

⇒ 22 days