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
41
A can do a piece of work in 15 days and B in 22 days. In how many days can they complete it together?
Answer:
8.92
Step-by-step solution: 1. A's work rate = 1/15. 2. B's work rate = 1/22. 3. Combined rate = 1/15 + 1/22. 4. Time = 1 / combined rate = 8.92 days.
42
A can do a piece of work in 17 days and B in 21 days. In how many days can they complete it together?
Answer:
9.39
Step-by-step solution: 1. A's work rate = 1/17. 2. B's work rate = 1/21. 3. Combined rate = 1/17 + 1/21. 4. Time = 1 / combined rate = 9.39 days.
43
A can do a piece of work in 13 days and B in 23 days. In how many days can they complete it together?
Answer:
8.31
Step-by-step solution: 1. A's work rate = 1/13. 2. B's work rate = 1/23. 3. Combined rate = 1/13 + 1/23. 4. Time = 1 / combined rate = 8.31 days.
44
A can do a piece of work in 16 days and B in 19 days. In how many days can they complete it 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.
45
A can do a piece of work in 12 days and B in 21 days. In how many days can they complete it together?
Answer:
7.64
Step-by-step solution: 1. A's work rate = 1/12. 2. B's work rate = 1/21. 3. Combined rate = 1/12 + 1/21. 4. Time = 1 / combined rate = 7.64 days.
46
A can do a piece of work in 17 days and B in 20 days. In how many days can they complete it together?
Answer:
9.19
Step-by-step solution: 1. A's work rate = 1/17. 2. B's work rate = 1/20. 3. Combined rate = 1/17 + 1/20. 4. Time = 1 / combined rate = 9.19 days.
47
A can do a piece of work in 14 days and B in 25 days. In how many days can they complete it together?
Answer:
8.97
Step-by-step solution: 1. A's work rate = 1/14. 2. B's work rate = 1/25. 3. Combined rate = 1/14 + 1/25. 4. Time = 1 / combined rate = 8.97 days.
48
A can do a piece of work in 14 days and B in 20 days. In how many days can they complete it together?
Answer:
8.24
Step-by-step solution: 1. A's work rate = 1/14. 2. B's work rate = 1/20. 3. Combined rate = 1/14 + 1/20. 4. Time = 1 / combined rate = 8.24 days.
49
If 2 men or 4 women or 6 boys can do a work in 22 days, how long will 1 man, 1 woman, and 1 boy together take?
Answer:
24 days
Step 1: Establish equivalence: 2M = 4W = 6B, which means 1M = 3B and 1W = 1.5B. Step 2: Target group is 1M + 1W + 1B = 3B + 1.5B + 1B = 5.5B. Step 3: Since 6B take 22 days, total work = 132 B-days. Time taken by 5.5B = 132 / 5.5 = 24 days.
50
A, B, and C can do a work in 24, 30, and 40 days. They begin together but C leaves 4 days before completion. Total time taken is:
Answer:
11 days
Step 1: Total work = 120. Efficiencies: A=5, B=4, C=3. Step 2: Let total time be x. 5x + 4x + 3(x-4) = 120. Step 3: 12x - 12 = 120, 12x = 132, x = 11 days.