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
121
350 men have provisions for 40 days. After 12 days, some men leave, and the provisions last for 35 more days. How many men left?
Answer:
70 men
After 12 days, provisions left = 350 × 28 = 9800 man-days. For 35 days, remaining men = 9800 / 35 = 280. Men left = 350 - 280 = 70 men.
122
480 men have food for 25 days. After 10 days, some men join, and the food lasts for 12 more days. How many men joined?
Answer:
120 men
Food left after 10 days = 480 × 15 = 7200 man-days. For 12 days, total men = 7200 / 12 = 600. Men joined = 600 - 480 = 120 men.
123
550 men have food for 45 days. After 15 days, some men leave, causing the food to last for 50 more days. How many men left?
Answer:
220 men
After 15 days, food left = 550 × 30 = 16500 man-days. If it lasts 50 days, remaining men = 16500 / 50 = 330. Men left = 550 - 330 = 220 men.
124
240 men have provisions for 30 days. After 10 days, some men join, and the provisions last for 12 more days. Find the number of men who joined.
Answer:
160 men
Provisions left after 10 days = 240 × 20 = 4800 man-days. If they last 12 days, total men = 4800 / 12 = 400. Men joined = 400 - 240 = 160 men.
125
1000 men have food for 40 days. After 20 days, some men leave, and the food lasts for 25 more days. How many men left?
Answer:
200 men
After 20 days, food left = 1000 × 20 = 20000 man-days. For 25 days, remaining men = 20000 / 25 = 800. Men left = 1000 - 800 = 200 men.
126
A fort of 700 men has food for 35 days. After 10 days, a reinforcement arrives, and the food lasts for 14 more days. How many men joined?
Answer:
550 men
After 10 days, food left = 700 × 25 = 17500 man-days. If it lasts 14 days, total men = 17500 / 14 = 1250. Men joined = 1250 - 700 = 550 men.
127
360 soldiers have provisions for 45 days. After 15 days, some soldiers leave, and the provisions last for 40 more days. How many soldiers left?
Answer:
90
Provisions left after 15 days = 360 × 30 = 10800 soldier-days. If they last 40 days, remaining soldiers = 10800 / 40 = 270. Soldiers left = 360 - 270 = 90.
128
180 men have food for 30 days. After 12 days, some men join, and the food lasts for 12 more days. Find the number of new men.
Answer:
90 men
Food left after 12 days = 180 × 18 = 3240 man-days. For 12 days, total men = 3240 / 12 = 270. Men joined = 270 - 180 = 90 men.
129
450 men have food for 50 days. After 20 days, some men leave, causing the food to last for 45 more days. How many men left?
Answer:
150 men
After 20 days, food left = 450 × 30 = 13500 man-days. If it lasts 45 days, remaining men = 13500 / 45 = 300. Men left = 450 - 300 = 150 men.
130
A camp of 90 men has provisions for 35 days. After 10 days, some men join, and the provisions last for 15 more days. How many men joined?
Answer:
60 men
After 10 days, provisions left = 90 × 25 = 2250 man-days. If they last 15 days, total men = 2250 / 15 = 150. Men joined = 150 - 90 = 60 men.