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
151
A camp has food for 100 men for 55 days. After 15 days, 20 men leave. How long will the remaining food last?
Answer:
50 days
After 15 days, food left = 100 × 40 = 4000 man-days. Remaining men = 100 - 20 = 80. Food lasts 4000 / 80 = 50 days.
152
600 workers have food for 45 days. After 15 days, 150 workers leave. How long will the remaining food last?
Answer:
40 days
After 15 days, food left = 600 × 30 = 18000 worker-days. Remaining workers = 600 - 150 = 450. Food lasts 18000 / 450 = 40 days.
153
250 men have provisions for 50 days. After 20 days, 100 men leave. How long will the remaining provisions last?
Answer:
50 days
Remaining provisions after 20 days = 250 × 30 = 7500 man-days. Remaining men = 250 - 100 = 150. Provisions last 7500 / 150 = 50 days.
154
80 men have food for 40 days. After 16 days, 20 men leave. How long will the remaining food last?
Answer:
32 days
Remaining food after 16 days = 80 × 24 = 1920 man-days. Remaining men = 80 - 20 = 60. Food lasts 1920 / 60 = 32 days.
155
A garrison has food for 400 men for 35 days. After 10 days, 150 men leave. How long will the remaining food last?
Answer:
40 days
After 10 days, food left = 400 × 25 = 10000 man-days. Remaining men = 400 - 150 = 250. Food lasts 10000 / 250 = 40 days.
156
120 men have provisions for 60 days. After 15 days, 30 men leave. For how many days will the remaining provisions last?
Answer:
60 days
Remaining provisions after 15 days = 120 × 45 = 5400 man-days. Remaining men = 120 - 30 = 90. Provisions last 5400 / 90 = 60 days.
157
500 soldiers have food for 30 days. After 5 days, 250 soldiers leave. How long will the remaining food last?
Answer:
50 days
After 5 days, food left = 500 × 25 = 12500 soldier-days. Remaining soldiers = 500 - 250 = 250. Food lasts 12500 / 250 = 50 days.
158
A fort has food for 300 men for 45 days. After 15 days, 100 men leave. How long will the remaining food last?
Answer:
45 days
After 15 days, food left = 300 × 30 = 9000 man-days. Remaining men = 300 - 100 = 200. Food lasts 9000 / 200 = 45 days.
159
150 men have food for 40 days. After 10 days, 50 men leave the group. How long will the remaining food last?
Answer:
45 days
Remaining food after 10 days = 150 × 30 = 4500 man-days. Remaining men = 150 - 50 = 100. Food lasts 4500 / 100 = 45 days.
160
A garrison of 200 men has provisions for 50 days. After 10 days, 40 men leave. How long will the remaining food last for the rest of the men?
Answer:
50 days
After 10 days, food for 200 men for 40 days is left. Remaining food = 200 × 40 = 8000 man-days. Remaining men = 200 - 40 = 160. The food will last 8000 / 160 = 50 days.