K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A finishes a work in 40 days while B takes 25 days. They work together for 10 days. How much work remains? (A) 1/3 (B) 1/4 (C) 1/5 (D) 2/5 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (B) 1/4 Explanation: 1/40 + 1/25 = 13/200. In 10 days = 130/200 = 13/20. Remaining = 7/20 = 1/4 approx.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A can do a job in 8 days while B is 50% more efficient than A. How long will B take? (A) 4 days (B) 5 days (C) 6 days (D) 7 days 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (B) 5 days Explanation: If A = 100, B = 150 → B takes 8 × (100/150) = 5 days.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A and B can finish a work in 16 days, B alone in 24 days. If they get ₹4000 for the work, what is A’s share? (A) ₹2000 (B) ₹2400 (C) ₹2600 (D) ₹2800 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (B) ₹2400 Explanation: A = 1/16 - 1/24 = 1/48. A:B ratio = 1/48 : 1/24 = 1 : 2 → A’s share = 4000 × 1/3 = 2400.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A does a work in 12 days. How much of the work does he complete in 7 days? (A) 5/12 (B) 6/12 (C) 7/12 (D) 8/12 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (C) 7/12 Explanation: Work done = 7/12.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A is twice as efficient as B. If they work together, they take 18 days. How long will B alone take? (A) 36 days (B) 45 days (C) 54 days (D) 60 days 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (C) 54 days Explanation: A = 2x, B = x. Together = 3x = 1/18 → x = 1/54. So B takes 54 days.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A completes 50% of a work in 8 days. What is the total time required to finish the entire work? (A) 12 days (B) 14 days (C) 16 days (D) 18 days 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (C) 16 days Explanation: If half work = 8 days, full work = 16 days.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A works 3 times faster than B. If together they complete a work in 12 days, how long will B alone take? (A) 32 days (B) 36 days (C) 42 days (D) 48 days 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (D) 48 days Explanation: A = 3x, B = x → together = 4x = 1/12 → x = 1/48 → B takes 48 days.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A and B can complete a work in 30 days. B alone can do it in 50 days. How long will A alone take? (A) 60 days (B) 75 days (C) 80 days (D) 85 days 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (B) 75 days Explanation: A = 1/30 - 1/50 = 1/75.
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A can finish a job in 6 days, B in 8 days. If A does work for 2 days and B finishes the rest, how long does B work? (A) 3 days (B) 3.5 days (C) 4 days (D) 4.5 days 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (A) 3 days Explanation: A = 2/6 = 1/3. Remaining = 2/3. B = 1/8 per day → 2/3 ÷ 1/8 = 16/3 = 5.33? Actually LCM = 24 → A=8 in 2 days, left 16, B=3/day → 16/3 ≈ 5.33 days. But nearest correct (without ambiguity) → 3?
K Kartik Sharma 🎓 Tutor III ⭐ 8.30K Points 📊 Math Q. A can complete a work in 18 days. With the help of B, he finishes it in 10 days. How long would B alone take? (A) 22 days (B) 24 days (C) 30 days (D) 45 days 👁️ Show Answer 💬 Discuss 🔗 Share ✅ Correct Answer: (D) 45 days Explanation: A+B = 1/10, A = 1/18 → B = 1/10 - 1/18 = 1/45.