SSC GD 2021 PYQ — Question 68

SSC GD Constable (English) - 17th November 2021 Shift 3 • Quantitative Aptitude • Q68

A, B and C can complete a work in 60, 30 and 20 days, respectively. In how many days can A complete the work if he is assisted by B and C together on every fifth day?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 30.

Calculations:

Let the total work = 60 units (LCM of 60, 30 and 20)

Efficiency of A = 60/60 = 1

Efficiency of B = 60/30 = 2

Efficiency of C = 60/20 = 3

Work done in 5 days when B and C assist A on every 5th day = 1 + 1 + 1 + 1 + 6 = 10 units

Now the work will be completed;

5 days = 10 units

30 days = 60 units

Hence, total required days is 30.