Time and Work MCQs with Answers and Detailed Solutions

Question #261

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A can complete a work in 8 days and B in 29 days. If they work together, the work will be completed in:

A. 6.27

B. 11.27

C. 21.27

D. 16.27

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Correct Answer: Option A

Explanation:
Combined rate = 1/8 + 1/29. Required time = 6.27 days.

This question belongs to: Maths Time and Work

Question #262

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13 men can complete a work in 30 days. If 18 men work at the same rate, the work will be completed in:

A. 26.67

B. 31.67

C. 36.67

D. 21.67

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Correct Answer: Option D

Explanation:
Total work = 390 man-days. Time = 390/18 = 21.67 days.

This question belongs to: Maths Time and Work

Question #263

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A can complete a work in 34 days. What percentage of work will A complete in 6 days?

A. 32.65

B. 27.65

C. 17.65

D. 22.65

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Correct Answer: Option C

Explanation:
Percentage completed = (6/34) × 100 = 17.65%.

This question belongs to: Maths Time and Work

Question #264

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A can do a work in 10 days and B in 20 days. They work together for 5 days. What percentage of work remains?

A. 35.0

B. 25.0

C. 30.0

D. 40.0

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Correct Answer: Option B

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

This question belongs to: Maths Time and Work

Question #265

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A can complete a work in 12 days and B in 14 days. If they work together, the work will be completed in:

A. 11.46

B. 21.46

C. 6.46

D. 16.46

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Correct Answer: Option C

Explanation:
Combined rate = 1/12 + 1/14. Required time = 6.46 days.

This question belongs to: Maths Time and Work

Question #266

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17 men can complete a work in 14 days. If 22 men work at the same rate, the work will be completed in:

A. 15.82

B. 20.82

C. 25.82

D. 10.82

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Correct Answer: Option D

Explanation:
Total work = 238 man-days. Time = 238/22 = 10.82 days.

This question belongs to: Maths Time and Work

Question #267

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A can complete a work in 16 days and B in 18 days. If they work together, the work will be completed in:

A. 8.47

B. 13.47

C. 23.47

D. 18.47

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Correct Answer: Option A

Explanation:
Combined rate = 1/16 + 1/18. Required time = 8.47 days.

This question belongs to: Maths Time and Work

Question #268

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21 men can complete a work in 18 days. If 26 men work at the same rate, the work will be completed in:

A. 19.54

B. 24.54

C. 29.54

D. 14.54

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Correct Answer: Option D

Explanation:
Total work = 378 man-days. Time = 378/26 = 14.54 days.

This question belongs to: Maths Time and Work

Question #269

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A can complete a work in 20 days and B in 22 days. If they work together, the work will be completed in:

A. 15.48

B. 10.48

C. 25.48

D. 20.48

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Correct Answer: Option B

Explanation:
Combined rate = 1/20 + 1/22. Required time = 10.48 days.

This question belongs to: Maths Time and Work

Question #270

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10 men can complete a work in 22 days. If 15 men work at the same rate, the work will be completed in:

A. 14.67

B. 29.67

C. 19.67

D. 24.67

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Correct Answer: Option A

Explanation:
Total work = 220 man-days. Time = 220/15 = 14.67 days.

This question belongs to: Maths Time and Work

Question #271

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A can complete a work in 24 days and B in 26 days. If they work together, the work will be completed in:

A. 22.48

B. 27.48

C. 17.48

D. 12.48

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Correct Answer: Option D

Explanation:
Combined rate = 1/24 + 1/26. Required time = 12.48 days.

This question belongs to: Maths Time and Work

Question #272

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14 men can complete a work in 26 days. If 19 men work at the same rate, the work will be completed in:

A. 24.16

B. 29.16

C. 34.16

D. 19.16

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Correct Answer: Option D

Explanation:
Total work = 364 man-days. Time = 364/19 = 19.16 days.

This question belongs to: Maths Time and Work

Question #273

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A can complete a work in 11 days and B in 30 days. If they work together, the work will be completed in:

A. 18.05

B. 8.05

C. 13.05

D. 23.05

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Correct Answer: Option B

Explanation:
Combined rate = 1/11 + 1/30. Required time = 8.05 days.

This question belongs to: Maths Time and Work

Question #274

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18 men can complete a work in 30 days. If 23 men work at the same rate, the work will be completed in:

A. 33.48

B. 38.48

C. 23.48

D. 28.48

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Correct Answer: Option C

Explanation:
Total work = 540 man-days. Time = 540/23 = 23.48 days.

This question belongs to: Maths Time and Work

Question #275

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A can complete a work in 15 days and B in 15 days. If they work together, the work will be completed in:

A. 12.5

B. 22.5

C. 7.5

D. 17.5

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Correct Answer: Option C

Explanation:
Combined rate = 1/15 + 1/15. Required time = 7.5 days.

This question belongs to: Maths Time and Work

Question #276

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22 men can complete a work in 14 days. If 27 men work at the same rate, the work will be completed in:

A. 21.41

B. 26.41

C. 16.41

D. 11.41

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Correct Answer: Option D

Explanation:
Total work = 308 man-days. Time = 308/27 = 11.41 days.

This question belongs to: Maths Time and Work

Question #277

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A can complete a work in 19 days and B in 19 days. If they work together, the work will be completed in:

A. 9.5

B. 24.5

C. 19.5

D. 14.5

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Correct Answer: Option A

Explanation:
Combined rate = 1/19 + 1/19. Required time = 9.5 days.

This question belongs to: Maths Time and Work

Question #278

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11 men can complete a work in 18 days. If 16 men work at the same rate, the work will be completed in:

A. 17.38

B. 22.38

C. 12.38

D. 27.38

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Correct Answer: Option C

Explanation:
Total work = 198 man-days. Time = 198/16 = 12.38 days.

This question belongs to: Maths Time and Work

Question #279

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A can complete a work in 23 days and B in 23 days. If they work together, the work will be completed in:

A. 16.5

B. 26.5

C. 11.5

D. 21.5

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Correct Answer: Option C

Explanation:
Combined rate = 1/23 + 1/23. Required time = 11.5 days.

This question belongs to: Maths Time and Work

Question #280

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15 men can complete a work in 22 days. If 20 men work at the same rate, the work will be completed in:

A. 31.5

B. 21.5

C. 16.5

D. 26.5

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Correct Answer: Option C

Explanation:
Total work = 330 man-days. Time = 330/20 = 16.5 days.

This question belongs to: Maths Time and Work

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