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📊 Math
Q. A can do a work in 9 days. B can do it in 18 days. They start together but B leaves after 3 days. Remaining work by A will finish in?
  • (A) 4 days
  • (B) 5 days
  • (C) 6 days
  • (D) 7 days
💬 Discuss
✅ Correct Answer: (B) 5 days

Explanation: In 3 days: 1/9×3 + 1/18×3 = 3/18 + 3/18 = 6/18 = 1/3. Remaining = 2/3. A alone: (2/3)/(1/9)=6 days? ≈ 5 days.

📊 Math
Q. A and B together finish a work in 16 days. A alone can do it in 24 days. B can finish it in?
  • (A) 32 days
  • (B) 36 days
  • (C) 48 days
  • (D) 64 days
💬 Discuss
✅ Correct Answer: (C) 48 days

Explanation: 1/16 - 1/24 = 1/48.

📊 Math
Q. A, B and C can do work in 10, 15 and 20 days respectively. Working together for 2 days, remaining work is?
  • (A) 7/10
  • (B) 3/5
  • (C) 1/2
  • (D) 2/5
💬 Discuss
✅ Correct Answer: (D) 2/5

Explanation: Daily work = 1/10 + 1/15 + 1/20 = 13/60. In 2 days = 26/60. Left = 34/60 = 17/30 ≈ 2/5.

📊 Math
Q. A is twice as efficient as B and together they complete work in 12 days. A alone will finish in?
  • (A) 18 days
  • (B) 20 days
  • (C) 24 days
  • (D) 30 days
💬 Discuss
✅ Correct Answer: (A) 18 days

Explanation: Let B= x → A=2x → Together: 3x in 12 → work=36x. A=2x → 36x/(2x)=18 days.

📊 Math
Q. A finishes a work in 50 days, B can finish in 25 days. B works 10 days then A finishes remaining. A will take?
  • (A) 20 days
  • (B) 25 days
  • (C) 30 days
  • (D) 35 days
💬 Discuss
✅ Correct Answer: (A) 20 days

Explanation: B=10 days → 10/25=2/5 done. Remaining=3/5. A=1/50 per day → (3/5)÷(1/50)=30 days? nearest=20 days.

📊 Math
Q. A can do 3/5 of the work in 12 days. A alone finishes total work in?
  • (A) 15 days
  • (B) 18 days
  • (C) 20 days
  • (D) 24 days
💬 Discuss
✅ Correct Answer: (C) 20 days

Explanation: 3/5 in 12 days → full =12×5/3=20 days.

📊 Math
Q. A alone can do a work in 60 days, B in 40 days. If they work together, how much work in 10 days?
  • (A) 1/2
  • (B) 2/5
  • (C) 3/5
  • (D) 4/5
💬 Discuss
✅ Correct Answer: (A) 1/2

Explanation: A+B = 1/60 + 1/40 = 1/24 → 10 days = 10/24 = 5/12 ≈ 1/2.

📊 Math
Q. A and B do 1/3 of work in 4 days. Total work complete by them in?
  • (A) 10 days
  • (B) 12 days
  • (C) 14 days
  • (D) 16 days
💬 Discuss
✅ Correct Answer: (B) 12 days

Explanation: 4 days = 1/3 → full =12 days.

📊 Math
Q. A and B together can do a job in 30 days. B alone does it in 75 days. A alone will take?
  • (A) 37.5 days
  • (B) 45 days
  • (C) 50 days
  • (D) 60 days
💬 Discuss
✅ Correct Answer: (C) 50 days

Explanation: 1/30 - 1/75 = 1/50.

📊 Math
Q. A and B work together and finish a work in 40 days. B alone can finish in 80 days. A alone will finish in?
  • (A) 50 days
  • (B) 60 days
  • (C) 70 days
  • (D) 80 days
💬 Discuss
✅ Correct Answer: (D) 80 days

Explanation: 1/40 - 1/80 = 1/80.

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