A can complete a work in 13 days and B in 26 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

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A can complete a work in 13 days and B in 26 days. After working together for 5 days, what percentage of work remains?

A. 49.81

B. 47.31

C. 44.81

D. 42.31

Answer: Option D

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/13+1/26))×100 = 42.31%.

This question belongs to: Maths Time and Work

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A and B can do a work in 12 days, B and C in 15 days, and C and A in 20 days. How many days will A alone take to finish the work?

A. 40 days

B. 30 days

C. 60 days

D. 20 days

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Correct Answer: Option B

Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2*(A+B+C) = 12 => Efficiency of (A+B+C) = 6 units/day. Efficiency of A = (A+B+C) - (B+C) = 6 - 4 = 2 units/day. Time taken by A alone = 60 / 2 = 30 days.

This question belongs to: Maths Time and Work