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
1
A can do a piece of work in 13 days and B in 25 days. In how many days can they complete it together?
Answer:
8.55
Step-by-step solution: 1. A's work rate = 1/13. 2. B's work rate = 1/25. 3. Combined rate = 1/13 + 1/25. 4. Time = 1 / combined rate = 8.55 days.
2
A can do a piece of work in 15 days and B in 24 days. In how many days can they complete it together?
Answer:
9.23
Step-by-step solution: 1. A's work rate = 1/15. 2. B's work rate = 1/24. 3. Combined rate = 1/15 + 1/24. 4. Time = 1 / combined rate = 9.23 days.
3
A can do a piece of work in 17 days and B in 25 days. In how many days can they complete it together?
Answer:
10.12
Step-by-step solution: 1. A's work rate = 1/17. 2. B's work rate = 1/25. 3. Combined rate = 1/17 + 1/25. 4. Time = 1 / combined rate = 10.12 days.
4
A can do a piece of work in 17 days and B in 24 days. In how many days can they complete it together?
Answer:
9.95
Step-by-step solution: 1. A's work rate = 1/17. 2. B's work rate = 1/24. 3. Combined rate = 1/17 + 1/24. 4. Time = 1 / combined rate = 9.95 days.
5
A can do a piece of work in 14 days and B in 22 days. In how many days can they complete it together?
Answer:
8.56
Step-by-step solution: 1. A's work rate = 1/14. 2. B's work rate = 1/22. 3. Combined rate = 1/14 + 1/22. 4. Time = 1 / combined rate = 8.56 days.
6
A can do a piece of work in 14 days and B in 21 days. In how many days can they complete it together?
Answer:
8.4
Step-by-step solution: 1. A's work rate = 1/14. 2. B's work rate = 1/21. 3. Combined rate = 1/14 + 1/21. 4. Time = 1 / combined rate = 8.4 days.
7
A can do a piece of work in 16 days and B in 20 days. In how many days can they complete it together?
Answer:
8.89
Step-by-step solution: 1. A's work rate = 1/16. 2. B's work rate = 1/20. 3. Combined rate = 1/16 + 1/20. 4. Time = 1 / combined rate = 8.89 days.
8
A can do a piece of work in 15 days and B in 25 days. In how many days can they complete it together?
Answer:
9.38
Step-by-step solution: 1. A's work rate = 1/15. 2. B's work rate = 1/25. 3. Combined rate = 1/15 + 1/25. 4. Time = 1 / combined rate = 9.38 days.
9
A can do a piece of work in 18 days and B in 23 days. In how many days can they complete it together?
Answer:
10.1
Step-by-step solution: 1. A's work rate = 1/18. 2. B's work rate = 1/23. 3. Combined rate = 1/18 + 1/23. 4. Time = 1 / combined rate = 10.1 days.
10
A can do a piece of work in 18 days and B in 24 days. In how many days can they complete it together?
Answer:
10.29
Step-by-step solution: 1. A's work rate = 1/18. 2. B's work rate = 1/24. 3. Combined rate = 1/18 + 1/24. 4. Time = 1 / combined rate = 10.29 days.