Q. A can complete a work in 27 days. After working for 9 days, he leaves. What fraction of the work is completed?

  • (A) 1/4
  • (B) 1/3
  • (C) 2/3
  • (D) 3/4
πŸ“ Notes
βœ… Correct Answer: (B) 1/3
Explanation: Completed = 9/27 = 1/3.

Q. A completes a work in 9 days and B in 18 days. Together they complete the work in:

  • (A) 5 days
  • (B) 6 days
  • (C) 7 days
  • (D) 8 days
πŸ“ Notes
βœ… Correct Answer: (B) 6 days
Explanation: Combined rate = 1/9 + 1/18 = 1/6. Hence time = 6 days.

Q. A can complete a work in 35 days while B can complete it in 70 days. In how many days will they complete the work together?

  • (A) 20 days
  • (B) 22 days
  • (C) 23β…“ days
  • (D) 24 days
πŸ“ Notes
βœ… Correct Answer: (C) 23β…“ days
Explanation: Combined rate = 3/70. Time = 70/3 = 23β…“ days.

Q. A can complete 1/5 of a work in 6 days. The whole work will be completed in:

  • (A) 24 days
  • (B) 28 days
  • (C) 30 days
  • (D) 36 days
πŸ“ Notes
βœ… Correct Answer: (C) 30 days
Explanation: Whole work = 6 × 5 = 30 days.

Q. A completes a work in 45 days and B in 30 days. Their combined efficiency is:

  • (A) 1/15
  • (B) 1/18
  • (C) 1/20
  • (D) 2/45
πŸ“ Notes
βœ… Correct Answer: (B) 1/18
Explanation: Combined rate = 1/45 + 1/30 = 1/18? LCM 90: 2/90 + 3/90 = 5/90 = 1/18.

Q. A can complete a work in 12 days. B takes 18 days. If A works alone for 4 days, the remaining work is:

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

Q. A and B together can complete a work in 6 days. If B alone takes 18 days, A alone takes:

  • (A) 8 days
  • (B) 9 days
  • (C) 10 days
  • (D) 12 days
πŸ“ Notes
βœ… Correct Answer: (B) 9 days
Explanation: A's rate = 1/6 − 1/18 = 1/9. Hence A takes 9 days.

Q. A can complete a work in 32 days and B in 48 days. Their combined time to complete the work is:

  • (A) 18.2 days
  • (B) 19.2 days
  • (C) 20 days
  • (D) 21 days
πŸ“ Notes
βœ… Correct Answer: (B) 19.2 days
Explanation: Combined rate = 1/32 + 1/48 = 5/96. Time = 96/5 = 19.2 days.

Q. A can complete a work in 28 days and B in 42 days. In how many days will they complete the work together?

  • (A) 16.8 days
  • (B) 18 days
  • (C) 20 days
  • (D) 21 days
πŸ“ Notes
βœ… Correct Answer: (A) 16.8 days
Explanation: Combined rate = 1/28 + 1/42 = 5/84. Time = 84/5 = 16.8 days.

Q. A can complete a work in 36 days while B can complete it in 18 days. B is how many times as efficient as A?

  • (A) 1.5
  • (B) 2
  • (C) 2.5
  • (D) 3
πŸ“ Notes
βœ… Correct Answer: (B) 2
Explanation: Efficiency is inversely proportional to time. 36/18 = 2.

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