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
191
If 12 men can paint 10 identical rooms in 16 days, how many men are needed to paint 20 such rooms in 8 days?
Answer:
48
(M1 * D1) / W1 = (M2 * D2) / W2. (12 * 16) / 10 = (x * 8) / 20. 192 / 10 = 8x / 20. 19.2 = 0.4x. x = 19.2 / 0.4 = 48 men.
192
If the freight of 65 kg of goods for 50 km is Rs. 32.50, what will be the freight of 100 kg for 80 km?
Answer:
Rs. 80
Freight is directly proportional to Weight * Distance. (W1 * D1) / F1 = (W2 * D2) / F2. (65 * 50) / 32.50 = (100 * 80) / x. 3250 / 32.50 = 8000 / x. 100 = 8000 / x. x = 80.
193
If 6 boys can collect 18 boxes of apples in 2 hours, how many boxes can 8 boys collect in 3 hours?
Answer:
36
(M1 * H1) / W1 = (M2 * H2) / W2. (6 * 2) / 18 = (8 * 3) / x. 12 / 18 = 24 / x. 2/3 = 24 / x. 2x = 72. x = 36 boxes.
194
If 7 workers can build 7 cars in 7 days, how many days will it take 5 workers to build 5 cars?
Answer:
7 days
(M1 * D1) / W1 = (M2 * D2) / W2. (7 * 7) / 7 = (5 * x) / 5. 7 = x. So, it will take 7 days.
195
If a man walks 20 km in 5 hours, how long will it take him to walk 32 km at the same pace?
Answer:
8 hours
Direct proportion. Distance / Time = constant. 20 / 5 = 32 / x. 4 = 32 / x. x = 32 / 4 = 8 hours.
196
If 4 men can weave 4 mats in 4 days, how many mats will 8 men weave in 8 days?
Answer:
16
(M1 * D1) / W1 = (M2 * D2) / W2. (4 * 4) / 4 = (8 * 8) / x. 4 = 64 / x. x = 64 / 4 = 16 mats.
197
If 10 spiders catch 10 flies in 10 minutes, how many flies will 200 spiders catch in 200 minutes?
Answer:
4000
Using (M1 * T1) / W1 = (M2 * T2) / W2. (10 * 10) / 10 = (200 * 200) / x. 10 = 40000 / x. x = 40000 / 10 = 4000 flies.
198
A certain number of men complete a piece of work in 45 days. If there were 5 men less, it could be finished in 15 days more. How many men were originally there?
Answer:
20
Let initial men be M. M * 45 = (M - 5) * (45 + 15). 45M = 60(M - 5). 45M = 60M - 300. 15M = 300. M = 20.
199
A certain number of men can do a work in 60 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?
Answer:
40
Let initial men be M. M * 60 = (M + 8) * (60 - 10). 60M = 50(M + 8). 60M = 50M + 400. 10M = 400. M = 40.
200
If 12 kg of sugar costs Rs. 480, what is the cost of 25 kg of sugar?
Answer:
Rs. 1000
Direct proportion: 12 / 480 = 25 / x. x = (480 * 25) / 12 = 40 * 25 = 1000.