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. 78.65

B. 71.15

C. 76.15

D. 73.65

Answer: Option B

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 24 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 54.5

B. 52.0

C. 59.5

D. 57.0

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Correct Answer: Option B

Explanation:
A share = (1/24) / (1/24+1/26) ×100 = 52.0%.

This question belongs to: Maths Time and Work

Question #2

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A can do a work in 15 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 7.41

B. 12.41

C. 9.91

D. 14.91

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Correct Answer: Option A

Explanation:
Combined time for full work multiplied by 0.75 = 7.41 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 16 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed?

A. 14.0

B. 8.0

C. 10.0

D. 12.0

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Correct Answer: Option B

Explanation:
Combined rate = 1/16 + 1/16. Time = 1 ÷ combined rate = 8.0 days.

This question belongs to: Maths Time and Work

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