SSC CHSL 2019 PYQ — Question 68

SSC CHSL - 1st July 2019 - Shift 3 • Quantitative Aptitude • Q68

A and B can complete a task in 25 days. B alone can complete %  of the same task in 15 days. In how many days can A alone complete (4/15)th of the same task?

Show answer & explanation

Correct answer: C

Explanation

Correct Answer is option 3 i.e. 15

Concept

Understanding

Application

Fair calculation

Work efficiency

A and B can complete a task in 25 days

B alone can complete 100/3% of the same task in 15 days.

Hence,

B alone will complete the work in 45 days

1/A + 1/45 = 1/25

1/A = 4/225

A alone will complete the work in 225/4 days.

A alone will complete 4/15th of the same task = (225/4) × 4/15 = 15 days

1/A + 1/45 = 1/25

1/A = 1/25 – 1/45

1/A = [9 – 5]/225

1/A = 4/225