SSC Selection Post 2022 PYQ — Question 71

SSC Selection Post - Matriculation Level - 3 Feb 2022 - Shift 1 • Quantitative Aptitude • Q71

A and B can do a certain work in 25 and 20 days, respectively. They work together for 4 days. The remaining work is completed by C in 8 days. C alone can complete 40% of the original work in :

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 5 days.

LCM(25, 20) = 100

The efficiency of A = 100/25 = 4 units

The efficiency of B = 100/20 = 5 units

Work done in 4 days = (4 + 5) × 4 = 36 units

Remaining work = 64 units

Efficiency of C = 64/8 = 8 units

Time taken by C to complete 40% of the original work = 100×401008100\times{40\over100}\over8 = 40840\over8 = 5 days