SSC CGL 2023 PYQ — Question 63

SSC CGL - 24 July 2023 - Shift 3 • Quantitative Aptitude • Q63

A can complete a work in 9 days and B in 12 days. If they work together on it for 5 days, then the fraction of the work left is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 136\frac{1}{36}.

Total work = 36 (LCM of 9 and 12)

Total efficiency of A and B = 36/9 + 36/12 = 4 + 3 = 7

Total work done by A and B in 5 days = 5 × 7 = 35

Remaining fraction work = (36 - 35)/36 = 1/36

Therefore, the fraction of the work left is 1/36.