SSC CGL 2023 PYQ — Question 73

SSC CGL - 24 July 2023 - Shift 3 • Quantitative Aptitude • Q73

A, B and C together can complete a work in 12 days. A as well as B alone can do the same work in 36 days. In how many days can C alone complete the same work?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 36.

Total work = 36 units (LCM of 12 and 36)

Efficiency of A and B = 36/36 = 1 unit/day

Efficiency of A, B, and C = 36/12 = 3 units/day

Efficiency of C = 3 - 1 - 1 = 2 unit/day

Time required for C = 36/1 = 18 days