SSC CGL 2016 PYQ — Question 87

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q87

A can do as much work in 4 days as B can do in 5 days, and B can do as much work in 6 days as C in 7 days. In what time will C do a piece of work which A can do in a week?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 245/24 days

Here, 4A = 5B and 6B = 7C

A/5 = B/4

B/7 = C/6

A : B : C = 35 : 28 : 24

A can do work in week i.e. 7 days

C can do that work = (35 × 7)/24 = 245/24 days