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
1481
A tank is filled by two pipes in 20 min and 24 min respectively, and drained by a third pipe in 34 min. How long to fill the tank if all operate together?
Answer:
16.06
Step-by-step solution: 1. Filling rates: 1/20 + 1/24. 2. Draining rate: 1/34. 3. Net rate = 1/20 + 1/24 - 1/34 = 0.0623 tank/min. 4. Time = 1 / net rate = 16.06 minutes.
1482
A tank is filled by two pipes in 18 min and 23 min respectively, and drained by a third pipe in 33 min. How long to fill the tank if all operate together?
Answer:
14.55
Step-by-step solution: 1. Filling rates: 1/18 + 1/23. 2. Draining rate: 1/33. 3. Net rate = 1/18 + 1/23 - 1/33 = 0.0687 tank/min. 4. Time = 1 / net rate = 14.55 minutes.
1483
A tank is filled by two pipes in 19 min and 23 min respectively, and drained by a third pipe in 32 min. How long to fill the tank if all operate together?
Answer:
15.42
Step-by-step solution: 1. Filling rates: 1/19 + 1/23. 2. Draining rate: 1/32. 3. Net rate = 1/19 + 1/23 - 1/32 = 0.0649 tank/min. 4. Time = 1 / net rate = 15.42 minutes.
1484
A tank is filled by two pipes in 15 min and 25 min respectively, and drained by a third pipe in 32 min. How long to fill the tank if all operate together?
Answer:
13.26
Step-by-step solution: 1. Filling rates: 1/15 + 1/25. 2. Draining rate: 1/32. 3. Net rate = 1/15 + 1/25 - 1/32 = 0.0754 tank/min. 4. Time = 1 / net rate = 13.26 minutes.
1485
A tank is filled by two pipes in 17 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:
14.41
Step-by-step solution: 1. Filling rates: 1/17 + 1/25. 2. Draining rate: 1/34. 3. Net rate = 1/17 + 1/25 - 1/34 = 0.0694 tank/min. 4. Time = 1 / net rate = 14.41 minutes.
1486
A tank is filled by two pipes in 20 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:
16.63
Step-by-step solution: 1. Filling rates: 1/20 + 1/23. 2. Draining rate: 1/30. 3. Net rate = 1/20 + 1/23 - 1/30 = 0.0601 tank/min. 4. Time = 1 / net rate = 16.63 minutes.
1487
A tank is filled by two pipes in 20 min and 24 min respectively, and drained by a third pipe in 31 min. How long to fill the tank if all operate together?
Answer:
16.83
Step-by-step solution: 1. Filling rates: 1/20 + 1/24. 2. Draining rate: 1/31. 3. Net rate = 1/20 + 1/24 - 1/31 = 0.0594 tank/min. 4. Time = 1 / net rate = 16.83 minutes.
1488
A tank is filled by two pipes in 18 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:
14.33
Step-by-step solution: 1. Filling rates: 1/18 + 1/22. 2. Draining rate: 1/32. 3. Net rate = 1/18 + 1/22 - 1/32 = 0.0698 tank/min. 4. Time = 1 / net rate = 14.33 minutes.
1489
A tank is filled by two pipes in 17 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:
12.89
Step-by-step solution: 1. Filling rates: 1/17 + 1/20. 2. Draining rate: 1/32. 3. Net rate = 1/17 + 1/20 - 1/32 = 0.0776 tank/min. 4. Time = 1 / net rate = 12.89 minutes.
1490
A tank is filled by two pipes in 20 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:
15.14
Step-by-step solution: 1. Filling rates: 1/20 + 1/22. 2. Draining rate: 1/34. 3. Net rate = 1/20 + 1/22 - 1/34 = 0.0660 tank/min. 4. Time = 1 / net rate = 15.14 minutes.