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
1471
A tank is filled by two pipes in 17 min and 20 min respectively, and drained by a third pipe in 34 min. How long to fill the tank if all operate together?
Answer:
12.59
Step-by-step solution: 1. Filling rates: 1/17 + 1/20. 2. Draining rate: 1/34. 3. Net rate = 1/17 + 1/20 - 1/34 = 0.0794 tank/min. 4. Time = 1 / net rate = 12.59 minutes.
1472
A tank is filled by two pipes in 19 min and 20 min respectively, and drained by a third pipe in 31 min. How long to fill the tank if all operate together?
Answer:
14.21
Step-by-step solution: 1. Filling rates: 1/19 + 1/20. 2. Draining rate: 1/31. 3. Net rate = 1/19 + 1/20 - 1/31 = 0.0704 tank/min. 4. Time = 1 / net rate = 14.21 minutes.
1473
A tank is filled by two pipes in 15 min and 25 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
13.64
Step-by-step solution: 1. Filling rates: 1/15 + 1/25. 2. Draining rate: 1/30. 3. Net rate = 1/15 + 1/25 - 1/30 = 0.0733 tank/min. 4. Time = 1 / net rate = 13.64 minutes.
1474
A tank is filled by two pipes in 15 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:
13.36
Step-by-step solution: 1. Filling rates: 1/15 + 1/26. 2. Draining rate: 1/33. 3. Net rate = 1/15 + 1/26 - 1/33 = 0.0748 tank/min. 4. Time = 1 / net rate = 13.36 minutes.
1475
A tank is filled by two pipes in 18 min and 25 min respectively, and drained by a third pipe in 33 min. How long to fill the tank if all operate together?
Answer:
15.33
Step-by-step solution: 1. Filling rates: 1/18 + 1/25. 2. Draining rate: 1/33. 3. Net rate = 1/18 + 1/25 - 1/33 = 0.0653 tank/min. 4. Time = 1 / net rate = 15.33 minutes.
1476
A tank is filled by two pipes in 18 min and 25 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
16.07
Step-by-step solution: 1. Filling rates: 1/18 + 1/25. 2. Draining rate: 1/30. 3. Net rate = 1/18 + 1/25 - 1/30 = 0.0622 tank/min. 4. Time = 1 / net rate = 16.07 minutes.
1477
A tank is filled by two pipes in 20 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:
15.3
Step-by-step solution: 1. Filling rates: 1/20 + 1/21. 2. Draining rate: 1/31. 3. Net rate = 1/20 + 1/21 - 1/31 = 0.0654 tank/min. 4. Time = 1 / net rate = 15.3 minutes.
1478
A tank is filled by two pipes in 17 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:
14.5
Step-by-step solution: 1. Filling rates: 1/17 + 1/23. 2. Draining rate: 1/30. 3. Net rate = 1/17 + 1/23 - 1/30 = 0.0690 tank/min. 4. Time = 1 / net rate = 14.5 minutes.
1479
A tank is filled by two pipes in 15 min and 20 min respectively, and drained by a third pipe in 34 min. How long to fill the tank if all operate together?
Answer:
11.46
Step-by-step solution: 1. Filling rates: 1/15 + 1/20. 2. Draining rate: 1/34. 3. Net rate = 1/15 + 1/20 - 1/34 = 0.0873 tank/min. 4. Time = 1 / net rate = 11.46 minutes.
1480
A tank is filled by two pipes in 17 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:
14.8
Step-by-step solution: 1. Filling rates: 1/17 + 1/25. 2. Draining rate: 1/32. 3. Net rate = 1/17 + 1/25 - 1/32 = 0.0676 tank/min. 4. Time = 1 / net rate = 14.8 minutes.