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
5411
A tank is filled by two pipes in 19 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:
13.66
Step-by-step solution: 1. Filling rates: 1/19 + 1/20. 2. Draining rate: 1/34. 3. Net rate = 1/19 + 1/20 - 1/34 = 0.0732 tank/min. 4. Time = 1 / net rate = 13.66 minutes.
5412
A tank is filled by two pipes in 17 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:
14.66
Step-by-step solution: 1. Filling rates: 1/17 + 1/24. 2. Draining rate: 1/31. 3. Net rate = 1/17 + 1/24 - 1/31 = 0.0682 tank/min. 4. Time = 1 / net rate = 14.66 minutes.
5413
A tank is filled by two pipes in 15 min and 22 min respectively, and drained by a third pipe in 31 min. How long to fill the tank if all operate together?
Answer:
12.52
Step-by-step solution: 1. Filling rates: 1/15 + 1/22. 2. Draining rate: 1/31. 3. Net rate = 1/15 + 1/22 - 1/31 = 0.0799 tank/min. 4. Time = 1 / net rate = 12.52 minutes.
5414
A tank is filled by two pipes in 17 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:
13.06
Step-by-step solution: 1. Filling rates: 1/17 + 1/20. 2. Draining rate: 1/31. 3. Net rate = 1/17 + 1/20 - 1/31 = 0.0766 tank/min. 4. Time = 1 / net rate = 13.06 minutes.
5415
A tank is filled by two pipes in 17 min and 21 min respectively, and drained by a third pipe in 33 min. How long to fill the tank if all operate together?
Answer:
13.13
Step-by-step solution: 1. Filling rates: 1/17 + 1/21. 2. Draining rate: 1/33. 3. Net rate = 1/17 + 1/21 - 1/33 = 0.0761 tank/min. 4. Time = 1 / net rate = 13.13 minutes.
5416
A tank is filled by two pipes in 20 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:
15.0
Step-by-step solution: 1. Filling rates: 1/20 + 1/20. 2. Draining rate: 1/30. 3. Net rate = 1/20 + 1/20 - 1/30 = 0.0667 tank/min. 4. Time = 1 / net rate = 15.0 minutes.
5417
A tank is filled by two pipes in 19 min and 22 min respectively, and drained by a third pipe in 31 min. How long to fill the tank if all operate together?
Answer:
15.19
Step-by-step solution: 1. Filling rates: 1/19 + 1/22. 2. Draining rate: 1/31. 3. Net rate = 1/19 + 1/22 - 1/31 = 0.0658 tank/min. 4. Time = 1 / net rate = 15.19 minutes.
5418
A tank is filled by two pipes in 18 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:
14.75
Step-by-step solution: 1. Filling rates: 1/18 + 1/24. 2. Draining rate: 1/34. 3. Net rate = 1/18 + 1/24 - 1/34 = 0.0678 tank/min. 4. Time = 1 / net rate = 14.75 minutes.
5419
A tank is filled by two pipes in 19 min and 26 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
17.31
Step-by-step solution: 1. Filling rates: 1/19 + 1/26. 2. Draining rate: 1/30. 3. Net rate = 1/19 + 1/26 - 1/30 = 0.0578 tank/min. 4. Time = 1 / net rate = 17.31 minutes.
5420
A tank is filled by two pipes in 16 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:
13.04
Step-by-step solution: 1. Filling rates: 1/16 + 1/22. 2. Draining rate: 1/32. 3. Net rate = 1/16 + 1/22 - 1/32 = 0.0767 tank/min. 4. Time = 1 / net rate = 13.04 minutes.