SSC CGL 2023 PYQ — Question 65

SSC CGL - 26 July 2023 - Shift 3 • Quantitative Aptitude • Q65

X , Y and Z can complete a work in 5 days, 15 days and 30 days, respectively. In how days can the work be completed if X is assisted by Y and Z together, on every second day?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 4 days.

Let the total work be LCM(5, 15, and 30) = 30 units

Work completed by X in 1 day = 305=6 units\frac{30}{5} = 6\ units

Work completed by Y in 1 day = 3015=2 units\frac{30}{15} = 2\ units

Work completed by Z in 1 day = 3030=1 unit\frac{30}{30} = 1\ unit

Y and Z help x on every 2nd day

Hence, work completed in 2 days = 6 + 9 = 15 units

They will complete 30 units in = 30×215\frac{30 × 2}{15} = 4 days.