SSC CGL 2023 PYQ — Question 60

SSC CGL - 19 July 2023 - Shift 2 • Quantitative Aptitude • Q60

A can do a work in 4 days and B in 12 days. If they work on it together for 2 days, then the fraction of the work that will be left is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 13\frac{1}{3}.

A can do a work in 4 days and B in 12 days

Total work (LCM of 4 and 12) = 12 units

Efficiency of A = 12412 \over 4 = 3 

Efficiency of B = 121212 \over 12 = 1

Total Efficiency = 4

They worked together for 2 days = 4 × 2 = 8

Work left = 12 - 8 = 4

Required fraction of work left = 4124 \over 12 = 131 \over 3