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
A garrison of 500 men has enough food for 36 days. How many men must leave the garrison if the food is to last for 45 days?
Answer:
100 men
Total food = 500 × 36 = 18000 man-days. For 45 days, men needed = 18000 / 45 = 400 men. Men who must leave = 500 - 400 = 100 men.
182
140 men have provisions for 50 days. How many men should eat the provisions if they are to last exactly 35 days?
Answer:
200 men
Total provisions = 140 × 50 = 7000 man-days. To last 35 days, the number of men required = 7000 / 35 = 200 men.
183
1000 men can consume a stock of food in 18 days. If 500 more men join immediately, how long will the food last?
Answer:
12 days
Total food = 1000 × 18 = 18000 man-days. New number of men = 1000 + 500 = 1500. Food will last 18000 / 1500 = 12 days.
184
320 men have provisions for 15 days. If the provisions need to last for 240 men, how many days will they last?
Answer:
20 days
Total provisions = 320 × 15 = 4800 man-days. For 240 men, the provisions will last 4800 / 240 = 20 days.
185
700 soldiers have food for 24 days. If the food is to be shared among 840 soldiers, how long will it last?
Answer:
20 days
Total food = 700 × 24 = 16800 soldier-days. For 840 soldiers, it will last 16800 / 840 = 20 days.
186
A stock of food is enough for 160 men for 30 days. If the number of men is 120, how many days will the food last?
Answer:
40 days
Total food = 160 × 30 = 4800 man-days. For 120 men, it will last 4800 / 120 = 40 days.
187
Provisions are sufficient for 250 men for 44 days. How many days will they last for 275 men?
Answer:
40 days
Total provisions = 250 × 44 = 11000 man-days. For 275 men, provisions will last 11000 / 275 = 40 days.
188
180 workers have enough food for 35 days. If the food must last for 210 workers, how many days will it last?
Answer:
30 days
Total food = 180 × 35 = 6300 worker-days. For 210 workers, it will last 6300 / 210 = 30 days.
189
If a garrison of 600 men has provisions for a certain number of days, and 450 men can consume the same provisions in 40 days, what was the initial number of days?
Answer:
30 days
Total provisions = 450 × 40 = 18000 man-days. For 600 men, the initial days would be 18000 / 600 = 30 days.
190
A group of men has food for 28 days. If the group size is 300, how many days will the food last for 400 men?
Answer:
21 days
Total food = 300 × 28 = 8400 man-days. For 400 men, the food will last 8400 / 400 = 21 days.