SSC CHSL 2021 PYQ — Question 73

SSC CHSL - 16 April 2021 - Shift 3 • Quantitative Aptitude • Q73

A, B and C can independently complete the same task in 4, 6 and 12 days, respectively. In how many days will they be able to complete the same task if they work together?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 2

According to the question

Total work = LCM (4 ,6, 12) = 12 days

Efficiency ratio of A, B, C = (12/4): (12/6): (12/12) = 3: 2: 1

They work together to complete the task = Total work / total efficiency = 12/(3+ 2+1)

= 12/6 = 2 days