A can complete a work in 10 days and B in 20 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 10 days and B in 20 days. After working together for 5 days, what percentage of work remains?

A. 30.0

B. 32.5

C. 27.5

D. 25.0

Answer: Option D

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/10+1/20))×100 = 25.0%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 21 days and B in 28 days. If they work together, the work will be completed in:

A. 27.0

B. 12.0

C. 22.0

D. 17.0

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Correct Answer: Option B

Explanation:
Combined rate = 1/21 + 1/28. Required time = 12.0 days.

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. 22.57

B. 20.57

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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21 men can complete a work in 29 days. If 29 men work at the same rate, how many days are required?

A. 26.0

B. 21.0

C. 23.5

D. 28.5

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Correct Answer: Option B

Explanation:
Total work = 609 man-days. Days = 21.0.

This question belongs to: Maths Time and Work

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