SSC CGL 2025 PYQ — Question 62

SSC CGL - 15 Sep 2025 - Shift 3 • Quantitative Aptitude • Q62

A and B can complete a task in 12 days and 18 days respectively. They begin the work together, but B leaves after 4 days. How many more days will A take to finish the remaining work?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 5135 \frac{1}{3}​ days.

LCM(12, 18) = 36

The efficiency of A = 36/12 = 3 units

The efficiency of B = 36/18 = 2 units

Work done by both in 4 days = 4 × (3 + 2) = 4 × 5 = 20 units

Remaining work = 36 - 30 = 16 units

Time taken by A to complete the remaining work = 163=513{16\over3}= 5\frac{1}{3} days