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
5431
A tank is filled by two pipes in 17 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:
13.68
Step-by-step solution: 1. Filling rates: 1/17 + 1/21. 2. Draining rate: 1/30. 3. Net rate = 1/17 + 1/21 - 1/30 = 0.0731 tank/min. 4. Time = 1 / net rate = 13.68 minutes.
5432
A tank is filled by two pipes in 15 min and 23 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
13.02
Step-by-step solution: 1. Filling rates: 1/15 + 1/23. 2. Draining rate: 1/30. 3. Net rate = 1/15 + 1/23 - 1/30 = 0.0768 tank/min. 4. Time = 1 / net rate = 13.02 minutes.
5433
A tank is filled by two pipes in 17 min and 21 min respectively, and drained by a third pipe in 32 min. How long to fill the tank if all operate together?
Answer:
13.3
Step-by-step solution: 1. Filling rates: 1/17 + 1/21. 2. Draining rate: 1/32. 3. Net rate = 1/17 + 1/21 - 1/32 = 0.0752 tank/min. 4. Time = 1 / net rate = 13.3 minutes.
5434
A tank is filled by two pipes in 15 min and 26 min respectively, and drained by a third pipe in 31 min. How long to fill the tank if all operate together?
Answer:
13.72
Step-by-step solution: 1. Filling rates: 1/15 + 1/26. 2. Draining rate: 1/31. 3. Net rate = 1/15 + 1/26 - 1/31 = 0.0729 tank/min. 4. Time = 1 / net rate = 13.72 minutes.
5435
A tank is filled by two pipes in 19 min and 24 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
16.4
Step-by-step solution: 1. Filling rates: 1/19 + 1/24. 2. Draining rate: 1/30. 3. Net rate = 1/19 + 1/24 - 1/30 = 0.0610 tank/min. 4. Time = 1 / net rate = 16.4 minutes.
5436
A tank is filled by two pipes in 20 min and 22 min respectively, and drained by a third pipe in 32 min. How long to fill the tank if all operate together?
Answer:
15.58
Step-by-step solution: 1. Filling rates: 1/20 + 1/22. 2. Draining rate: 1/32. 3. Net rate = 1/20 + 1/22 - 1/32 = 0.0642 tank/min. 4. Time = 1 / net rate = 15.58 minutes.
5437
A tank is filled by two pipes in 16 min and 20 min respectively, and drained by a third pipe in 33 min. How long to fill the tank if all operate together?
Answer:
12.17
Step-by-step solution: 1. Filling rates: 1/16 + 1/20. 2. Draining rate: 1/33. 3. Net rate = 1/16 + 1/20 - 1/33 = 0.0822 tank/min. 4. Time = 1 / net rate = 12.17 minutes.
5438
A tank is filled by two pipes in 19 min and 25 min respectively, and drained by a third pipe in 34 min. How long to fill the tank if all operate together?
Answer:
15.82
Step-by-step solution: 1. Filling rates: 1/19 + 1/25. 2. Draining rate: 1/34. 3. Net rate = 1/19 + 1/25 - 1/34 = 0.0632 tank/min. 4. Time = 1 / net rate = 15.82 minutes.
5439
A tank is filled by two pipes in 20 min and 26 min respectively, and drained by a third pipe in 33 min. How long to fill the tank if all operate together?
Answer:
17.19
Step-by-step solution: 1. Filling rates: 1/20 + 1/26. 2. Draining rate: 1/33. 3. Net rate = 1/20 + 1/26 - 1/33 = 0.0582 tank/min. 4. Time = 1 / net rate = 17.19 minutes.
5440
A tank is filled by two pipes in 19 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:
14.94
Step-by-step solution: 1. Filling rates: 1/19 + 1/21. 2. Draining rate: 1/30. 3. Net rate = 1/19 + 1/21 - 1/30 = 0.0669 tank/min. 4. Time = 1 / net rate = 14.94 minutes.