Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
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
91
A tank is filled by two pipes in 18 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:
13.46
Step-by-step solution: 1. Filling rates: 1/18 + 1/20. 2. Draining rate: 1/32. 3. Net rate = 1/18 + 1/20 - 1/32 = 0.0743 tank/min. 4. Time = 1 / net rate = 13.46 minutes.
92
A tank is filled by two pipes in 17 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:
14.93
Step-by-step solution: 1. Filling rates: 1/17 + 1/26. 2. Draining rate: 1/33. 3. Net rate = 1/17 + 1/26 - 1/33 = 0.0670 tank/min. 4. Time = 1 / net rate = 14.93 minutes.
93
A tank is filled by two pipes in 19 min and 21 min respectively, and drained by a third pipe in 34 min. How long to fill the tank if all operate together?
Answer:
14.12
Step-by-step solution: 1. Filling rates: 1/19 + 1/21. 2. Draining rate: 1/34. 3. Net rate = 1/19 + 1/21 - 1/34 = 0.0708 tank/min. 4. Time = 1 / net rate = 14.12 minutes.
94
A tank is filled by two pipes in 16 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:
12.68
Step-by-step solution: 1. Filling rates: 1/16 + 1/21. 2. Draining rate: 1/32. 3. Net rate = 1/16 + 1/21 - 1/32 = 0.0789 tank/min. 4. Time = 1 / net rate = 12.68 minutes.
95
A tank is filled by two pipes in 16 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:
12.63
Step-by-step solution: 1. Filling rates: 1/16 + 1/20. 2. Draining rate: 1/30. 3. Net rate = 1/16 + 1/20 - 1/30 = 0.0792 tank/min. 4. Time = 1 / net rate = 12.63 minutes.
96
A tank is filled by two pipes in 15 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:
12.67
Step-by-step solution: 1. Filling rates: 1/15 + 1/24. 2. Draining rate: 1/34. 3. Net rate = 1/15 + 1/24 - 1/34 = 0.0789 tank/min. 4. Time = 1 / net rate = 12.67 minutes.
97
A tank is filled by two pipes in 17 min and 22 min respectively, and drained by a third pipe in 33 min. How long to fill the tank if all operate together?
Answer:
13.52
Step-by-step solution: 1. Filling rates: 1/17 + 1/22. 2. Draining rate: 1/33. 3. Net rate = 1/17 + 1/22 - 1/33 = 0.0740 tank/min. 4. Time = 1 / net rate = 13.52 minutes.
98
A tank is filled by two pipes in 16 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:
12.84
Step-by-step solution: 1. Filling rates: 1/16 + 1/21. 2. Draining rate: 1/31. 3. Net rate = 1/16 + 1/21 - 1/31 = 0.0779 tank/min. 4. Time = 1 / net rate = 12.84 minutes.
99
A tank is filled by two pipes in 19 min and 26 min respectively, and drained by a third pipe in 32 min. How long to fill the tank if all operate together?
Answer:
16.71
Step-by-step solution: 1. Filling rates: 1/19 + 1/26. 2. Draining rate: 1/32. 3. Net rate = 1/19 + 1/26 - 1/32 = 0.0598 tank/min. 4. Time = 1 / net rate = 16.71 minutes.
100
A tank is filled by two pipes in 18 min and 22 min respectively, and drained by a third pipe in 30 min. How long to fill the tank if all operate together?
Answer:
14.78
Step-by-step solution: 1. Filling rates: 1/18 + 1/22. 2. Draining rate: 1/30. 3. Net rate = 1/18 + 1/22 - 1/30 = 0.0677 tank/min. 4. Time = 1 / net rate = 14.78 minutes.