SSC CGL 2022 PYQ — Question 53

SSC CGL - 18 April 2022 - Shift 3 • Quantitative Aptitude • Q53

A can do a certain work in 15 days, while B can do the same work in 21 days. If they work together, then in how many days will the same work be completed?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 8

Concept used:

LCM method is used.

Calculations:

Let the total work done by A and B be 105 units (LCM of 15 and 21)

Work done by A in 1 day = 105/15 = 7 units

Work done by B in 1 day = 105/21 = 5 units

Total work done by A and B in 1 day = 12 units

Required time taken = 105/12 = 8348\dfrac{3}{4}