Time and Work MCQs with Answers and Detailed Solutions

Question #321

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17 men can complete a work in 20 days. If 25 men work at the same rate, how many days are required?

A. 13.6

B. 21.1

C. 18.6

D. 16.1

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Correct Answer: Option A

Explanation:
Total work = 340 man-days. Days = 13.6.

This question belongs to: Maths Time and Work

Question #322

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A can complete a work in 23 days. What percentage of the work will be completed in 7 days?

A. 32.93

B. 35.43

C. 30.43

D. 37.93

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Correct Answer: Option C

Explanation:
Completed percentage = (7/23)×100 = 30.43%.

This question belongs to: Maths Time and Work

Question #323

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A and B work together. A alone can complete the work in 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 66.59

B. 61.59

C. 64.09

D. 59.09

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Correct Answer: Option D

Explanation:
A share = (1/18) / (1/18+1/26) ×100 = 59.09%.

This question belongs to: Maths Time and Work

Question #324

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A can do a work in 13 days and B in 17 days. In how many days will they complete 75% of the work together?

A. 10.52

B. 5.52

C. 8.02

D. 13.02

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 5.52 days.

This question belongs to: Maths Time and Work

Question #325

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A can complete a work in 18 days and B in 24 days. If both work together, in how many days will the work be completed?

A. 12.79

B. 17.79

C. 10.29

D. 15.29

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Correct Answer: Option C

Explanation:
Combined rate = 1/18 + 1/24. Time = 10.29 days.

This question belongs to: Maths Time and Work

Question #326

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A can complete a work in 17 days and B in 34 days. After working together for 5 days, what percentage of work remains?

A. 60.88

B. 58.38

C. 63.38

D. 55.88

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/17+1/34))×100 = 55.88%.

This question belongs to: Maths Time and Work

Question #327

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23 men can complete a work in 26 days. If 31 men work at the same rate, how many days are required?

A. 19.29

B. 24.29

C. 26.79

D. 21.79

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Correct Answer: Option A

Explanation:
Total work = 598 man-days. Days = 19.29.

This question belongs to: Maths Time and Work

Question #328

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A can complete a work in 29 days. What percentage of the work will be completed in 7 days?

A. 26.64

B. 24.14

C. 31.64

D. 29.14

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Correct Answer: Option B

Explanation:
Completed percentage = (7/29)×100 = 24.14%.

This question belongs to: Maths Time and Work

Question #329

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A and B work together. A alone can complete the work in 24 days and B alone in 32 days. What percentage of the total daily work is contributed by A?

A. 64.64

B. 62.14

C. 59.64

D. 57.14

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Correct Answer: Option D

Explanation:
A share = (1/24) / (1/24+1/32) ×100 = 57.14%.

This question belongs to: Maths Time and Work

Question #330

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A can do a work in 19 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 12.8

B. 7.8

C. 10.3

D. 15.3

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 7.8 days.

This question belongs to: Maths Time and Work

Question #331

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A can complete a work in 24 days and B in 30 days. If both work together, in how many days will the work be completed?

A. 13.33

B. 18.33

C. 20.83

D. 15.83

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Correct Answer: Option A

Explanation:
Combined rate = 1/24 + 1/30. Time = 13.33 days.

This question belongs to: Maths Time and Work

Question #332

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A can complete a work in 23 days and B in 46 days. After working together for 5 days, what percentage of work remains?

A. 72.39

B. 67.39

C. 69.89

D. 74.89

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Correct Answer: Option B

Explanation:
Remaining work = (1 - 5*(1/23+1/46))×100 = 67.39%.

This question belongs to: Maths Time and Work

Question #333

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29 men can complete a work in 32 days. If 37 men work at the same rate, how many days are required?

A. 25.08

B. 32.58

C. 27.58

D. 30.08

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Correct Answer: Option A

Explanation:
Total work = 928 man-days. Days = 25.08.

This question belongs to: Maths Time and Work

Question #334

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A can complete a work in 20 days. What percentage of the work will be completed in 7 days?

A. 35.0

B. 42.5

C. 37.5

D. 40.0

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Correct Answer: Option A

Explanation:
Completed percentage = (7/20)×100 = 35.0%.

This question belongs to: Maths Time and Work

Question #335

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A and B work together. A alone can complete the work in 30 days and B alone in 22 days. What percentage of the total daily work is contributed by A?

A. 42.31

B. 49.81

C. 44.81

D. 47.31

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Correct Answer: Option A

Explanation:
A share = (1/30) / (1/30+1/22) ×100 = 42.31%.

This question belongs to: Maths Time and Work

Question #336

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A can do a work in 11 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 8.48

B. 5.98

C. 10.98

D. 13.48

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work

Question #337

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A can complete a work in 30 days and B in 36 days. If both work together, in how many days will the work be completed?

A. 16.36

B. 21.36

C. 23.86

D. 18.86

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Correct Answer: Option A

Explanation:
Combined rate = 1/30 + 1/36. Time = 16.36 days.

This question belongs to: Maths Time and Work

Question #338

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A can complete a work in 12 days and B in 24 days. After working together for 5 days, what percentage of work remains?

A. 37.5

B. 45.0

C. 40.0

D. 42.5

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/12+1/24))×100 = 37.5%.

This question belongs to: Maths Time and Work

Question #339

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15 men can complete a work in 23 days. If 23 men work at the same rate, how many days are required?

A. 17.5

B. 15.0

C. 22.5

D. 20.0

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Correct Answer: Option B

Explanation:
Total work = 345 man-days. Days = 15.0.

This question belongs to: Maths Time and Work

Question #340

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A can complete a work in 26 days. What percentage of the work will be completed in 7 days?

A. 26.92

B. 29.42

C. 34.42

D. 31.92

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Correct Answer: Option A

Explanation:
Completed percentage = (7/26)×100 = 26.92%.

This question belongs to: Maths Time and Work

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