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 complete a task in 11 days and B can finish it in 18 days. How long will they take working together?
Answer:
6.83
Step-by-step solution: 1. A's work rate = 1/11. 2. B's work rate = 1/18. 3. Combined rate = 1/11 + 1/18. 4. Time = 1 / (combined rate) = 6.83 days.
2
A can complete a task in 12 days and B can finish it in 13 days. How long will they take working together?
Answer:
6.24
Step-by-step solution: 1. A's work rate = 1/12. 2. B's work rate = 1/13. 3. Combined rate = 1/12 + 1/13. 4. Time = 1 / (combined rate) = 6.24 days.
3
A can complete a task in 16 days and B can finish it in 19 days. How long will they take working together?
Answer:
8.69
Step-by-step solution: 1. A's work rate = 1/16. 2. B's work rate = 1/19. 3. Combined rate = 1/16 + 1/19. 4. Time = 1 / (combined rate) = 8.69 days.
4
A can complete a task in 15 days and B can finish it in 12 days. How long will they take working together?
Answer:
6.67
Step-by-step solution: 1. A's work rate = 1/15. 2. B's work rate = 1/12. 3. Combined rate = 1/15 + 1/12. 4. Time = 1 / (combined rate) = 6.67 days.
5
A can complete a task in 15 days and B can finish it in 14 days. How long will they take working together?
Answer:
7.24
Step-by-step solution: 1. A's work rate = 1/15. 2. B's work rate = 1/14. 3. Combined rate = 1/15 + 1/14. 4. Time = 1 / (combined rate) = 7.24 days.
6
A can complete a task in 14 days and B can finish it in 15 days. How long will they take working together?
Answer:
7.24
Step-by-step solution: 1. A's work rate = 1/14. 2. B's work rate = 1/15. 3. Combined rate = 1/14 + 1/15. 4. Time = 1 / (combined rate) = 7.24 days.
7
A can complete a task in 11 days and B can finish it in 15 days. How long will they take working together?
Answer:
6.35
Step-by-step solution: 1. A's work rate = 1/11. 2. B's work rate = 1/15. 3. Combined rate = 1/11 + 1/15. 4. Time = 1 / (combined rate) = 6.35 days.
8
A can complete a task in 14 days and B can finish it in 14 days. How long will they take working together?
Answer:
7.0
Step-by-step solution: 1. A's work rate = 1/14. 2. B's work rate = 1/14. 3. Combined rate = 1/14 + 1/14. 4. Time = 1 / (combined rate) = 7.0 days.
9
A can complete a task in 10 days and B can finish it in 16 days. How long will they take working together?
Answer:
6.15
Step-by-step solution: 1. A's work rate = 1/10. 2. B's work rate = 1/16. 3. Combined rate = 1/10 + 1/16. 4. Time = 1 / (combined rate) = 6.15 days.
10
A can complete a task in 13 days and B can finish it in 14 days. How long will they take working together?
Answer:
6.74
Step-by-step solution: 1. A's work rate = 1/13. 2. B's work rate = 1/14. 3. Combined rate = 1/13 + 1/14. 4. Time = 1 / (combined rate) = 6.74 days.