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SSC Selection Post 2022 PYQ — Question 70

SSC Selection Post - Matriculation Level 2022 - 9 Feb 2022 - Shift 1 • Quantitative Aptitude • Q70

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A can do a work in 8 days and B can do the same work in 12 days. If they work on it for 3 days, then what fraction of the work is left?

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 38\frac{3}{8}.

LCM(8, 12) = 24

The efficiency of A = 24/8 = 3 units

The efficiency of B = 24/12 = 2 units

Work done by both in 3 days = 3 × (3 + 2) = 3 × 5 = 15 units

Fraction of work left = 1 - 152415\over24 = 9249\over24 = 38\frac{3}{8}