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
201
X and Y entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, X withdrew Rs. 5000 while Y invested Rs. 5000 more. Out of a total profit of Rs. 26400, what is Y's share?
Answer:
Rs. 14400
X's equivalent capital = (16000 * 3) + (11000 * 9) = 48000 + 99000 = 147000. Y's equivalent capital = (12000 * 3) + (17000 * 9) = 36000 + 153000 = 189000. Ratio = 147 : 189 = 7 : 9. Y's share = (9/16) * 26400 = Rs. 14400.
202
P, Q, and R started a shop by investing Rs. 27000, Rs. 72000 and Rs. 81000 respectively. At the end of the year, the profit was distributed. If Q's share of profit is Rs. 36000, what is the total profit?
Answer:
Rs. 90000
Ratio of investments = 27 : 72 : 81 = 3 : 8 : 9. Q's share is 8 parts = 36000. 1 part = 4500. Total profit = 20 parts = 20 * 4500 = Rs. 90000.
203
A, B, and C invest capital in the ratio 2:3:4. If the difference between the profits of C and A is Rs. 400, what is the total profit?
Answer:
Rs. 1800
Difference in parts between C and A = 4 - 2 = 2 parts. 2 parts = 400, so 1 part = 200. Total profit = 9 parts = 9 * 200 = Rs. 1800.
204
M and N invest in a business in the ratio 5:6. If M's share in the profit is Rs. 2500, what is N's share?
Answer:
Rs. 3000
M's ratio is 5 parts, which equals 2500. So 1 part = 500. N's share = 6 parts = 6 * 500 = Rs. 3000.
205
A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A's share is Rs. 855, what is the total profit?
Answer:
Rs. 1500
Let total profit be P. Profit after charity = 0.95P. A's share = (3/5) * 0.95P = 0.57P. Given 0.57P = 855 => P = 855 / 0.57 = Rs. 1500.
206
X, Y, and Z invest in a partnership in the ratio 3:4:5. If Z's share of the profit is Rs. 2000, what is the total profit?
Answer:
Rs. 4800
Ratio = 3:4:5. Z's share is 5 parts. 5 parts = 2000, so 1 part = 400. Total profit = 12 parts = 12 * 400 = Rs. 4800.
207
P and Q started a business with investments in the ratio of 4:5. If the total profit is Rs. 3600, what is P's share?
Answer:
Rs. 1600
The profit is shared in the ratio of 4:5. Total parts = 9. P's share = (4/9) * 3600 = Rs. 1600.
208
Two partners invest Rs. 125,000 and Rs. 85,000 respectively in a business. If the total profit is Rs. 42,000, what is the share of the first partner?
Answer:
Rs. 25,000
Ratio of investments = 125000 : 85000 = 25 : 17. Total parts = 42. First partner's share = (25/42) * 42000 = Rs. 25,000.
209
A, B, and C invest Rs. 1000, Rs. 2000, and Rs. 3000 respectively in a business. If the total profit at the end of the year is Rs. 1200, what is B's share?
Answer:
Rs. 400
Ratio of investments = 1000 : 2000 : 3000 = 1 : 2 : 3. Total parts = 6. B's share = (2/6) * 1200 = Rs. 400.
210
A and B started a business investing Rs. 20,000 and Rs. 30,000 respectively. What will be the ratio of their profits at the end of the year?
Answer:
2:3
When the time period of investment is the same, the profit is distributed in the ratio of their investments. Ratio = 20000 : 30000 = 2 : 3.