A can complete a work in 26 days and B in 52 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 26 days and B in 52 days. After working together for 5 days, what percentage of work remains?

A. 76.15

B. 73.65

C. 78.65

D. 71.15

Answer: Option D

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/26+1/52))×100 = 71.15%.

This question belongs to: Maths Time and Work

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Question #1

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A and B work together. A alone can complete the work in 30 days and B alone in 28 days. What percentage of the total daily work is contributed by A?

A. 48.28

B. 53.28

C. 50.78

D. 55.78

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Correct Answer: Option A

Explanation:
A share = (1/30) / (1/30+1/28) ×100 = 48.28%.

This question belongs to: Maths Time and Work

Question #2

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10 men can complete a work in 26 days. If 14 men work at the same rate, in how many days will the work be completed?

A. 20.57

B. 22.57

C. 18.57

D. 24.57

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Correct Answer: Option C

Explanation:
Total work = 10 × 26 = 260 man-days. Required days = 260/14 = 18.57 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 25 days and B in 25 days. If both work together, in how many days will the work be completed?

A. 17.5

B. 12.5

C. 15.0

D. 20.0

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Correct Answer: Option B

Explanation:
Combined rate = 1/25 + 1/25. Time = 12.5 days.

This question belongs to: Maths Time and Work

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