All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
5361
A invests ₹8700 for 12 months and B invests ₹4050 for 15 months. If the total profit is ₹45400, find A's share.
Answer:
₹28699.73
Step-by-step solution: 1. Share of profit is proportional to capital * time. 2. A's share ratio = 8700 * 12 = 104400. 3. B's share ratio = 4050 * 15 = 60750. 4. A's share = Total profit * ratio_A / (ratio_A + ratio_B) = ₹28699.73.
5362
A invests ₹6800 for 12 months and B invests ₹4200 for 14 months. If the total profit is ₹41600, find A's share.
Answer:
₹24177.78
Step-by-step solution: 1. Share of profit is proportional to capital * time. 2. A's share ratio = 6800 * 12 = 81600. 3. B's share ratio = 4200 * 14 = 58800. 4. A's share = Total profit * ratio_A / (ratio_A + ratio_B) = ₹24177.78.
5363
A invests ₹8400 for 12 months and B invests ₹3600 for 12 months. If the total profit is ₹44800, find A's share.
Answer:
₹31360.0
Step-by-step solution: 1. Share of profit is proportional to capital * time. 2. A's share ratio = 8400 * 12 = 100800. 3. B's share ratio = 3600 * 12 = 43200. 4. A's share = Total profit * ratio_A / (ratio_A + ratio_B) = ₹31360.0.
5364
A invests ₹10200 for 12 months and B invests ₹3300 for 12 months. If the total profit is ₹48400, find A's share.
Answer:
₹36568.89
Step-by-step solution: 1. Share of profit is proportional to capital * time. 2. A's share ratio = 10200 * 12 = 122400. 3. B's share ratio = 3300 * 12 = 39600. 4. A's share = Total profit * ratio_A / (ratio_A + ratio_B) = ₹36568.89.
5365
A tank is filled by two pipes in 19 min and 25 min respectively, and drained by a third pipe in 31 min. How long to fill the tank if all operate together?
Answer:
16.56
Step-by-step solution: 1. Filling rates: 1/19 + 1/25. 2. Draining rate: 1/31. 3. Net rate = 1/19 + 1/25 - 1/31 = 0.0604 tank/min. 4. Time = 1 / net rate = 16.56 minutes.
5366
A tank is filled by two pipes in 15 min and 21 min respectively, and drained by a third pipe in 31 min. How long to fill the tank if all operate together?
Answer:
12.19
Step-by-step solution: 1. Filling rates: 1/15 + 1/21. 2. Draining rate: 1/31. 3. Net rate = 1/15 + 1/21 - 1/31 = 0.0820 tank/min. 4. Time = 1 / net rate = 12.19 minutes.
5367
A tank is filled by two pipes in 20 min and 20 min respectively, and drained by a third pipe in 32 min. How long to fill the tank if all operate together?
Answer:
14.55
Step-by-step solution: 1. Filling rates: 1/20 + 1/20. 2. Draining rate: 1/32. 3. Net rate = 1/20 + 1/20 - 1/32 = 0.0688 tank/min. 4. Time = 1 / net rate = 14.55 minutes.
5368
A tank is filled by two pipes in 17 min and 22 min respectively, and drained by a third pipe in 34 min. How long to fill the tank if all operate together?
Answer:
13.36
Step-by-step solution: 1. Filling rates: 1/17 + 1/22. 2. Draining rate: 1/34. 3. Net rate = 1/17 + 1/22 - 1/34 = 0.0749 tank/min. 4. Time = 1 / net rate = 13.36 minutes.
5369
A tank is filled by two pipes in 15 min and 20 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
12.0
Step-by-step solution: 1. Filling rates: 1/15 + 1/20. 2. Draining rate: 1/30. 3. Net rate = 1/15 + 1/20 - 1/30 = 0.0833 tank/min. 4. Time = 1 / net rate = 12.0 minutes.
5370
A tank is filled by two pipes in 15 min and 21 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
12.35
Step-by-step solution: 1. Filling rates: 1/15 + 1/21. 2. Draining rate: 1/30. 3. Net rate = 1/15 + 1/21 - 1/30 = 0.0810 tank/min. 4. Time = 1 / net rate = 12.35 minutes.