Q. A can do a work in 30 days. B is twice as efficient as A. In how many days can B complete the work?

  • (A) 10 days
  • (B) 12 days
  • (C) 15 days
  • (D) 18 days
πŸ“ Notes
βœ… Correct Answer: (C) 15 days
Explanation: If efficiency doubles, time becomes half. Therefore B takes 15 days.

Q. A can complete a work in 40 days. He works alone for 10 days. What fraction of the work remains?

  • (A) 1/4
  • (B) 3/4
  • (C) 2/5
  • (D) 5/8
πŸ“ Notes
βœ… Correct Answer: (B) 3/4
Explanation: Completed = 10/40 = 1/4. Remaining = 3/4.

Q. A can complete 2/3 of a work in 12 days. How many days will A take to complete the whole work?

  • (A) 16 days
  • (B) 18 days
  • (C) 20 days
  • (D) 24 days
πŸ“ Notes
βœ… Correct Answer: (B) 18 days
Explanation: Whole work = 12 × 3/2 = 18 days.

Q. A and B together complete a work in 8 days. If A alone can complete it in 24 days, B alone can complete it in:

  • (A) 10 days
  • (B) 12 days
  • (C) 16 days
  • (D) 20 days
πŸ“ Notes
βœ… Correct Answer: (B) 12 days
Explanation: B's rate = 1/8 − 1/24 = 1/12. Hence B takes 12 days.

Q. A completes a work in 18 days and B in 36 days. If both work together for 6 days, what fraction of the work is completed?

  • (A) 1/2
  • (B) 2/3
  • (C) 3/4
  • (D) 5/6
πŸ“ Notes
βœ… Correct Answer: (A) 1/2
Explanation: Combined rate = 1/18 + 1/36 = 1/12. In 6 days they complete 6/12 = 1/2.

Q. A can complete a work in 10 days and B in 15 days. After working together for 4 days, what fraction of the work remains?

  • (A) 1/3
  • (B) 2/5
  • (C) 7/15
  • (D) 8/15
πŸ“ Notes
βœ… Correct Answer: (A) 1/3
Explanation: Combined rate = 1/6. Completed in 4 days = 2/3. Remaining = 1/3.

Q. A completes a work in 21 days while B completes it in 28 days. Their combined time is:

  • (A) 11 days
  • (B) 12 days
  • (C) 13 days
  • (D) 14 days
πŸ“ Notes
βœ… Correct Answer: (B) 12 days
Explanation: Combined rate = 1/21 + 1/28 = 1/12. Hence time = 12 days.

Q. A can complete 3/5 of a work in 18 days. How many days will he take to complete the entire work?

  • (A) 24 days
  • (B) 28 days
  • (C) 30 days
  • (D) 32 days
πŸ“ Notes
βœ… Correct Answer: (C) 30 days
Explanation: Whole work = 18 × 5/3 = 30 days.

Q. A can complete a work in 14 days and B in 21 days. Their combined one-day work is:

  • (A) 5/42
  • (B) 1/7
  • (C) 3/14
  • (D) 2/21
πŸ“ Notes
βœ… Correct Answer: (A) 5/42
Explanation: Combined rate = 1/14 + 1/21 = 5/42.

Q. A is 50% more efficient than B. If B takes 24 days to complete a work, A will complete it in:

  • (A) 12 days
  • (B) 14 days
  • (C) 16 days
  • (D) 18 days
πŸ“ Notes
βœ… Correct Answer: (C) 16 days
Explanation: A's efficiency = 1.5 × B. Time = 24/1.5 = 16 days.

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