SSC CHSL 2023 PYQ — Question 69

SSC CHSL - 11 Aug 2023 - Shift 2 • Quantitative Aptitude • Q69

A can do the work in 18 days and B in 24 days. If they work on it together for 5 days, then find the fraction of the work which is left.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 3772\frac{37}{72}.

Total work = 72 (LCM of 18 and 24)

Efficiency of A and B = (72/18) + (72/24) = 4 + 3 = 7 units/day

Work done in 5 days = 7 × 5 = 35

Remaining work fraction = (72 - 35)/72 = 37/72

Hence, the fraction of the work that is left is 37/72.