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SSC Selection Post 2024 PYQ — Question 66

SSC Selection Post - Graduation Level - 25 June 2024 - Shift 3 • Quantitative Aptitude • Q66

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A and B can do a piece of work in 10 days. B and C can do the same work in 12 days. C and A can do the same work in 15 days. If all the three work together, find the number of days required to complete the work.

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 8.

Total work = LCM of 10, 12, 15 = 60

Efficiency of A, B, and C =6010+6012+60152=152=7.5=\frac{\frac{60}{10}+\frac{60}{12}+\frac{60}{15}}{2}=\frac{15}{2}=7.5

Time required for A, B, and C = 60/7.5 = 8 days