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
450 soldiers have food for 40 days. How many soldiers can be fed with the same food for 50 days?
Answer:
360
Total food = 450 × 40 = 18000 soldier-days. To last 50 days, the number of soldiers = 18000 / 50 = 360 soldiers.
192
Food for 50 men lasts 28 days. How many men should leave so that the food lasts 35 days?
Answer:
10
Total food = 50 × 28 = 1400 man-days. For 35 days, men required = 1400 / 35 = 40 men. Men who should leave = 50 - 40 = 10 men.
193
A garrison of 240 men has food for 25 days. How many men should be transferred so that the food lasts for 30 days?
Answer:
40
Total food = 240 × 25 = 6000 man-days. To last 30 days, men needed = 6000 / 30 = 200 men. Men to be transferred (leave) = 240 - 200 = 40 men.
194
150 men can finish a stock of food in 60 days. How many men must be there to finish the same stock in 45 days?
Answer:
200 men
Total food = 150 × 60 = 9000 man-days. To finish it in 45 days, the number of men required = 9000 / 45 = 200 men.
195
A hostel has food for 800 students for 45 days. If the student count increases to 1200, how long will the food last?
Answer:
30 days
Total food = 800 × 45 = 36000 student-days. For 1200 students, the food will last 36000 / 1200 = 30 days.
196
A ship has sufficient food for 90 sailors for 50 days. If the crew is reduced to 75 sailors, for how many days will the food last?
Answer:
60 days
Total food = 90 × 50 = 4500 sailor-days. For 75 sailors, the food will last 4500 / 75 = 60 days.
197
Provisions in a camp are sufficient for 350 men for 15 days. If there were 210 men, how long would the provisions last?
Answer:
25 days
Total provisions = 350 × 15 = 5250 man-days. For 210 men, the provisions will last 5250 / 210 = 25 days.
198
60 men can consume a certain amount of food in 40 days. If the number of men is increased to 80, how long will the food last?
Answer:
30 days
Total food = 60 × 40 = 2400 man-days. With 80 men, the food will last for 2400 / 80 = 30 days.
199
A fort has provisions for 400 men for 20 days. How many days will the same provisions last for 250 men?
Answer:
32 days
Total amount of food = 400 men × 20 days = 8000 man-days. If there are 250 men, the food will last for 8000 / 250 = 32 days.
200
A garrison of 120 men has provisions for 30 days. If the number of men is reduced to 100, how long will the provisions last?
Answer:
36 days
This is an inverse proportion problem. The total provision can be calculated as Men × Days. Total provision = 120 × 30 = 3600 man-days. For 100 men, the number of days = 3600 / 100 = 36 days.