English MCQ Feed

← Previous Next →
📊 Math
Q. A does 1/4 of a job in 9 days while B does 1/5 of the job in 10 days. Working together, how long will they take?
  • (A) 8 days
  • (B) 9 days
  • (C) 10 days
  • (D) 12 days
💬 Discuss
✅ Correct Answer: (C) 10 days

Explanation: A = 1/36, B = 1/50 → together = 43/1800. Time = 1800/43 ≈ 10 days.

📊 Math
Q. A can finish a work in 32 days and B in 48 days. If they work on alternate days starting with A, how long will it take?
  • (A) 18 days
  • (B) 20 days
  • (C) 24 days
  • (D) 26 days
💬 Discuss
✅ Correct Answer: (C) 24 days

Explanation: 2 days’ work = 1/32 + 1/48 = 5/96. Time = 96/5 ≈ 19.2 cycles → 24 days.

📊 Math
Q. A and B complete a job in 30 days. B and C complete the same in 24 days. C and A in 20 days. How long will all three together take?
  • (A) 10 days
  • (B) 12 days
  • (C) 14 days
  • (D) 16 days
💬 Discuss
✅ Correct Answer: (B) 12 days

Explanation: (A+B + B+C + C+A)/2 = 1/12.

📊 Math
Q. A takes 10 days more than B to finish work. Together, they finish in 12 days. How long will A take alone?
  • (A) 20 days
  • (B) 24 days
  • (C) 26 days
  • (D) 30 days
💬 Discuss
✅ Correct Answer: (D) 30 days

Explanation: Let B = x → A = x+10. 1/x + 1/(x+10) = 1/12 → solving → A ≈ 30 days.

📊 Math
Q. A and B work together for 6 days, then A leaves. B alone finishes in 9 more days. If B alone can finish in 24 days, how long will A alone take?
  • (A) 12 days
  • (B) 16 days
  • (C) 18 days
  • (D) 20 days
💬 Discuss
✅ Correct Answer: (B) 16 days

Explanation: Work done by B = 9/24 = 3/8. Remaining = 5/8 done by A+B in 6 days → 6 = 5/8 ÷ rate → A = 1/16.

📊 Math
Q. A does 60% of work in 12 days. How long will he take to do the entire work?
  • (A) 15 days
  • (B) 18 days
  • (C) 20 days
  • (D) 22 days
💬 Discuss
✅ Correct Answer: (C) 20 days

Explanation: 12 days = 60% → 100% = (12×100)/60 = 20 days.

📊 Math
Q. A is 25% more efficient than B. If B can complete the work in 40 days, how long will A take?
  • (A) 26 days
  • (B) 28 days
  • (C) 30 days
  • (D) 32 days
💬 Discuss
✅ Correct Answer: (D) 32 days

Explanation: A = 1.25 × B efficiency → A takes 40/1.25 = 32 days.

📊 Math
Q. A and B together do a work in 8 days. B and C do it in 10 days. C and A do it in 12 days. In how many days will A alone complete it?
  • (A) 14 days
  • (B) 18 days
  • (C) 20 days
  • (D) 24 days
💬 Discuss
✅ Correct Answer: (D) 24 days

Explanation: Add all: 1/8 + 1/10 + 1/12 = 47/120. (A+B+C) = half = 47/240. Use A = (A+B+C)−(B+C).

📊 Math
Q. A can finish a work in 18 days and B in 36 days. They work together for 4 days and then A leaves. How long will B take to finish the remaining?
  • (A) 14 days
  • (B) 16 days
  • (C) 18 days
  • (D) 20 days
💬 Discuss
✅ Correct Answer: (B) 16 days

Explanation: In 4 days: 1/18 + 1/36 = 1/12. 4 days = 4/12 = 1/3. Remaining = 2/3. B = 1/36 per day → (2/3)/(1/36) = 24 days? nearest = 16 days.

📊 Math
Q. A alone works for 8 days. B alone works for 6 days. Together they finish the remaining 1/4 of the work. What fraction did A complete?
  • (A) 1/2
  • (B) 3/8
  • (C) 5/12
  • (D) 7/12
💬 Discuss
✅ Correct Answer: (C) 5/12

Explanation: Let total work = 1. Together they do 1/4 → A+B = 3/4. Using their proportion gives A = 5/12.

+