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
161
350 soldiers have food for 30 days. After 12 days, 70 more soldiers join them. How long will the remaining food last?
Answer:
15 days
After 12 days, remaining food = 350 × 18 = 6300 soldier-days. Total soldiers = 350 + 70 = 420. Food lasts 6300 / 420 = 15 days.
162
A garrison has provisions for 480 men for 25 days. After 10 days, 120 more men join. How long will the remaining provisions last?
Answer:
12 days
After 10 days, remaining food = 480 × 15 = 7200 man-days. Total men = 480 + 120 = 600. Provisions last 7200 / 600 = 12 days.
163
550 men have food for 32 days. After 12 days, 450 more men join. For how many days will the remaining food last?
Answer:
11 days
After 12 days, remaining food = 550 × 20 = 11000 man-days. Total men = 550 + 450 = 1000. Food lasts 11000 / 1000 = 11 days.
164
240 workers have food for 50 days. After 14 days, 120 more workers arrive. How long will the remaining food last?
Answer:
24 days
After 14 days, food left = 240 × 36 = 8640 worker-days. Total workers = 240 + 120 = 360. Food lasts 8640 / 360 = 24 days.
165
A camp has food for 1000 men for 25 days. After 5 days, 1000 more men join. How long will the remaining food last?
Answer:
10 days
Food remaining after 5 days = 1000 × 20 = 20000 man-days. Total men = 1000 + 1000 = 2000. Remaining food lasts 20000 / 2000 = 10 days.
166
70 men have provisions for 40 days. After 12 days, 28 men join. How long will the remaining provisions last?
Answer:
20 days
After 12 days, remaining food = 70 × 28 = 1960 man-days. New number of men = 70 + 28 = 98. Food lasts 1960 / 98 = 20 days.
167
A fort has food for 360 men for 35 days. After 10 days, 90 more men join. How long will the remaining food last?
Answer:
20 days
After 10 days, remaining food = 360 × 25 = 9000 man-days. Total men = 360 + 90 = 450. Food lasts 9000 / 450 = 20 days.
168
180 men have food for 45 days. After 15 days, 90 more men arrive. For how many days will the remaining food last?
Answer:
20 days
Food remaining after 15 days = 180 × 30 = 5400 man-days. Total men = 180 + 90 = 270. Remaining food lasts 5400 / 270 = 20 days.
169
45 men have provisions for 60 days. After 12 days, 27 more men join. How long will the remaining provisions last?
Answer:
30 days
After 12 days, remaining food = 45 × 48 = 2160 man-days. New number of men = 45 + 27 = 72. Food lasts 2160 / 72 = 30 days.
170
A garrison has provisions for 90 men for 30 days. After 5 days, 35 more men join the garrison. How long will the remaining food last?
Answer:
18 days
After 5 days, food left is for 90 men for 25 days. Remaining food = 90 × 25 = 2250 man-days. Total men = 90 + 35 = 125. Food lasts 2250 / 125 = 18 days.