SSC CPO 2019 PYQ — Question 105

SSC CPO Tier I - 11th December 2019 - Shift 2 • Quantitative Aptitude • Q105

A can do  of a work in 12 days while B can do of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 6 days

Understanding Application
Tricks

Given

A can do  of a work in 12 days

So

total work = 30 days

&

B can do of the same work in 16 days

So

total work = 24 days

Now

In 10 days

  time work efficiency
A 30 120 4
B 24 5

9 unit in 1 day

So

in 10 days 9 × 10 = 90 unit

Hence

Remaining work = 120 - 90

= 30

So 

B alone can complete

30/5 = 6 days