Q. A can complete a work in 15 days and B in 10 days. After working together for 3 days, what fraction of the work remains?

  • (A) 1/2
  • (B) 3/10
  • (C) 1/5
  • (D) 2/5
πŸ“ Notes
βœ… Correct Answer: (A) 1/2
Explanation: Together they complete 1/15 + 1/10 = 1/6 per day. In 3 days they complete 1/2. Remaining = 1/2.

Q. A can complete a work in 8 days while B can complete it in 24 days. How many days will they take together?

  • (A) 4 days
  • (B) 5 days
  • (C) 6 days
  • (D) 8 days
πŸ“ Notes
βœ… Correct Answer: (C) 6 days
Explanation: Combined work per day = 1/8 + 1/24 = 1/6. Time = 6 days.

Q. A can complete 2/5 of a work in 8 days. How many days will A take to complete the whole work?

  • (A) 16 days
  • (B) 18 days
  • (C) 20 days
  • (D) 22 days
πŸ“ Notes
βœ… Correct Answer: (C) 20 days
Explanation: Whole work = 8 × 5/2 = 20 days.

Q. A completes a work in 20 days. B is 25% more efficient than A. In how many days can B complete the work?

  • (A) 15 days
  • (B) 16 days
  • (C) 18 days
  • (D) 25 days
πŸ“ Notes
βœ… Correct Answer: (B) 16 days
Explanation: B's efficiency = 125% of A. Time = 20 × 100/125 = 16 days.

Q. A and B together complete a work in 12 days. If A alone can complete it in 20 days, then B alone can complete it in:

  • (A) 24 days
  • (B) 30 days
  • (C) 36 days
  • (D) 40 days
πŸ“ Notes
βœ… Correct Answer: (B) 30 days
Explanation: B's work/day = 1/12 − 1/20 = 1/30. Hence B takes 30 days.

Q. A can complete a work in 30 days. He works for 12 days and leaves. What fraction of the work is left?

  • (A) 2/5
  • (B) 3/5
  • (C) 1/5
  • (D) 4/5
πŸ“ Notes
βœ… Correct Answer: (B) 3/5
Explanation: Completed = 12/30 = 2/5. Remaining = 3/5.

Q. A can complete 1/3 of a work in 6 days and B can complete 1/2 of the same work in 9 days. In how many days can both together complete the work?

  • (A) 10.8 days
  • (B) 12 days
  • (C) 9 days
  • (D) 15 days
πŸ“ Notes
βœ… Correct Answer: (C) 9 days
Explanation: A's rate = 1/18, B's rate = 1/18. Together = 1/9. Time = 9 days.

Q. A can complete a work in 24 days. B can complete the same work in 16 days. If both work together for 8 days, what fraction of the work is completed?

  • (A) 2/3
  • (B) 5/6
  • (C) 3/4
  • (D) 7/8
πŸ“ Notes
βœ… Correct Answer: (B) 5/6
Explanation: Combined rate = 1/24 + 1/16 = 5/48. In 8 days, work completed = 40/48 = 5/6.

Q. A can complete a work in 16 days and B in 24 days. How many days will they take together to complete the work?

  • (A) 8.6 days
  • (B) 9.6 days
  • (C) 10 days
  • (D) 12 days
πŸ“ Notes
βœ… Correct Answer: (B) 9.6 days
Explanation: Combined rate = 1/16 + 1/24 = 5/48. Time = 48/5 = 9.6 days.

Q. A completes a work in 25 days while B completes it in 20 days. Working together, they will finish the work in:

  • (A) 10 days
  • (B) 11.11 days
  • (C) 12.5 days
  • (D) 15 days
πŸ“ Notes
βœ… Correct Answer: (B) 11.11 days
Explanation: Combined rate = 1/25 + 1/20 = 9/100. Time = 100/9 = 11.11 days.

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