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
11
A can do a piece of work in 16 days and B in 25 days. In how many days can they complete it together?
Answer:
9.76
Step-by-step solution: 1. A's work rate = 1/16. 2. B's work rate = 1/25. 3. Combined rate = 1/16 + 1/25. 4. Time = 1 / combined rate = 9.76 days.
12
A can do a piece of work in 18 days and B in 18 days. In how many days can they complete it together?
Answer:
9.0
Step-by-step solution: 1. A's work rate = 1/18. 2. B's work rate = 1/18. 3. Combined rate = 1/18 + 1/18. 4. Time = 1 / combined rate = 9.0 days.
13
A can do a piece of work in 18 days and B in 25 days. In how many days can they complete it together?
Answer:
10.47
Step-by-step solution: 1. A's work rate = 1/18. 2. B's work rate = 1/25. 3. Combined rate = 1/18 + 1/25. 4. Time = 1 / combined rate = 10.47 days.
14
A can do a piece of work in 12 days and B in 23 days. In how many days can they complete it together?
Answer:
7.89
Step-by-step solution: 1. A's work rate = 1/12. 2. B's work rate = 1/23. 3. Combined rate = 1/12 + 1/23. 4. Time = 1 / combined rate = 7.89 days.
15
A can do a piece of work in 15 days and B in 21 days. In how many days can they complete it together?
Answer:
8.75
Step-by-step solution: 1. A's work rate = 1/15. 2. B's work rate = 1/21. 3. Combined rate = 1/15 + 1/21. 4. Time = 1 / combined rate = 8.75 days.
16
A can do a piece of work in 16 days and B in 18 days. In how many days can they complete it together?
Answer:
8.47
Step-by-step solution: 1. A's work rate = 1/16. 2. B's work rate = 1/18. 3. Combined rate = 1/16 + 1/18. 4. Time = 1 / combined rate = 8.47 days.
17
A can do a piece of work in 15 days and B in 23 days. In how many days can they complete it together?
Answer:
9.08
Step-by-step solution: 1. A's work rate = 1/15. 2. B's work rate = 1/23. 3. Combined rate = 1/15 + 1/23. 4. Time = 1 / combined rate = 9.08 days.
18
A can do a piece of work in 16 days and B in 21 days. In how many days can they complete it together?
Answer:
9.08
Step-by-step solution: 1. A's work rate = 1/16. 2. B's work rate = 1/21. 3. Combined rate = 1/16 + 1/21. 4. Time = 1 / combined rate = 9.08 days.
19
A can do a piece of work in 12 days and B in 18 days. In how many days can they complete it together?
Answer:
7.2
Step-by-step solution: 1. A's work rate = 1/12. 2. B's work rate = 1/18. 3. Combined rate = 1/12 + 1/18. 4. Time = 1 / combined rate = 7.2 days.
20
A can do a piece of work in 17 days and B in 22 days. In how many days can they complete it together?
Answer:
9.59
Step-by-step solution: 1. A's work rate = 1/17. 2. B's work rate = 1/22. 3. Combined rate = 1/17 + 1/22. 4. Time = 1 / combined rate = 9.59 days.