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
181
If 20 pumps can empty a reservoir in 12 hours, how many hours will it take 15 pumps to empty the same reservoir?
Answer:
16 hours
Inverse proportion: M1 * H1 = M2 * H2. 20 * 12 = 15 * x. x = (20 * 12) / 15 = 240 / 15 = 16 hours.
182
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Answer:
4 days
(6M + 8B) * 10 = (26M + 48B) * 2. 60M + 80B = 52M + 96B. 8M = 16B => 1M = 2B. Work = (6*2 + 8)*10 = 200 boy-days. 15M + 20B = 30B + 20B = 50 boys. Days = 200 / 50 = 4 days.
183
A garrison has provision for 1000 men for 30 days. If 200 more men join them, the provision will last for:
Answer:
25 days
M1 * D1 = M2 * D2. 1000 * 30 = 1200 * x. x = (1000 * 30) / 1200 = 30000 / 1200 = 25 days.
184
If 42 persons consume 144 kg of wheat in 15 days, in how many days will 30 persons consume 48 kg of wheat?
Answer:
7 days
(M1 * D1) / W1 = (M2 * D2) / W2. (42 * 15) / 144 = (30 * x) / 48. 630 / 144 = 30x / 48. 35/8 = 5x/8. 5x = 35. x = 7 days.
185
If 18 binders bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?
Answer:
11
(M1 * D1) / W1 = (M2 * D2) / W2. (18 * 10) / 900 = (x * 12) / 660. 180 / 900 = 12x / 660. 1/5 = 12x / 660. 12x = 660 / 5 = 132. x = 132 / 12 = 11 binders.
186
If a man can read 20 pages in 15 minutes, how many pages can he read in 2 hours at the same speed?
Answer:
160
2 hours = 120 minutes. Direct proportion: 20 / 15 = x / 120. x = (20 * 120) / 15 = 20 * 8 = 160 pages.
187
If the wages of 12 women for 5 days is Rs. 1500, find the wages of 8 women for 10 days.
Answer:
Rs. 2000
(W1 * D1) / R1 = (W2 * D2) / R2. (12 * 5) / 1500 = (8 * 10) / x. 60 / 1500 = 80 / x. 1/25 = 80/x. x = 25 * 80 = 2000.
188
If 15 men can dig a trench 35m long in 12 days, how many men can dig a trench 84m long in 18 days?
Answer:
24
(M1 * D1) / W1 = (M2 * D2) / W2. (15 * 12) / 35 = (x * 18) / 84. 180 / 35 = 18x / 84. 36/7 = 3x/14. 3x = (36 * 14) / 7 = 72. x = 24 men.
189
If 30 men working 7 hours a day can do a piece of work in 18 days, in how many days will 21 men working 8 hours a day do the same work?
Answer:
22.5
M1 * D1 * H1 = M2 * D2 * H2. 30 * 18 * 7 = 21 * x * 8. 3780 = 168x. x = 3780 / 168 = 22.5 days.
190
A contract is to be completed in 56 days. 104 men were set to work, each working 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
Answer:
56
Work done = 2/5, Work left = 3/5. Days left = 56 - 30 = 26. (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2. (104 * 30 * 8) / (2/5) = (M2 * 26 * 9) / (3/5). 24960 / 2 = (234 * M2) / 3. 12480 = 78 * M2. M2 = 12480 / 78 = 160. Additional men = 160 - 104 = 56.