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
171
X, Y and Z invested Rs. 1200, Rs. 1500 and Rs. 1800 respectively in a business. X acts as a manager and gets 10% of total profit for his services. If total profit is Rs. 1500, what is the total amount X receives?
Answer:
Rs. 510
X's salary = 10% of 1500 = 150. Remaining profit = 1350. Ratio = 1200:1500:1800 = 4:5:6. Total parts = 15. X's share of profit = (4/15) * 1350 = 360. Total X gets = 150 + 360 = Rs. 510.
172
A and B entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A took out Rs. 5000 while B put in Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. Out of a total profit of Rs. 26,400 at the end of the year, find the share of C.
Answer:
Rs. 7200
A's cap = (16k*3) + (11k*9) = 147k. B's cap = (12k*3) + (17k*9) = 189k. C's cap = 21k * 6 = 126k. Ratio = 147:189:126 = 7:9:6. Total parts = 22. C's share = (6/22) * 26400 = 6 * 1200 = Rs. 7200. Wait, 147:189:126 divided by 21 is 7:9:6. 6/22 * 26400 = 7200. I selected b, which is 8400. Let me check my options. 7200 is option a. Let me set the correct option.
173
Two friends start a business. First friend invests Rs. 30000 and the second Rs. 50000. If the total profit is Rs. 16000 and they agree to share 50% of the profit equally, and the remaining 50% based on their investment ratio, how much does the first friend get?
Answer:
Rs. 7000
50% of profit = 8000, shared equally: First friend gets 4000. Remaining 8000 is shared in ratio 3:5. First friend gets (3/8)*8000 = 3000. Total = 4000 + 3000 = Rs. 7000.
174
A, B and C jointly thought of engaging themselves in a business. A invests Rs. 6500 for 6 months, B invests Rs. 8400 for 5 months and C invests Rs. 10000 for 3 months. A is the working partner and receives 5% of profit as salary. If total profit is Rs. 7400, find C's share.
Answer:
Rs. 1900
A's salary = 5% of 7400 = 370. Remaining profit = 7030. Ratio = (6500*6) : (8400*5) : (10000*3) = 39000 : 42000 : 30000 = 39 : 42 : 30 = 13 : 14 : 10. Total parts = 37. C's share = (10/37) * 7030 = 10 * 190 = Rs. 1900.
175
In a partnership, A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 4600, B's share is:
Answer:
Rs. 800
C's capital = 1 - (1/6 + 1/3) = 1 - 1/2 = 1/2. Profit ratio = (1/6 * 1/6) : (1/3 * 1/3) : (1/2 * 1) = 1/36 : 1/9 : 1/2. Multiply by 36: 1 : 4 : 18. Total parts = 23. B's share = (4/23) * 4600 = Rs. 800.
176
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Answer:
17:3
Since time is same for both (2 years), the profit ratio is the ratio of their investments. 85000 : 15000 = 85 : 15 = 17 : 3.
177
A started a business with Rs. 45000. B joined after 3 months with Rs. 60000. C joined after 6 months with Rs. 90000. What is the ratio of their profits at the end of the year?
Answer:
1:1:1
A's time = 12, B's = 9, C's = 6. Ratio = (45000*12) : (60000*9) : (90000*6) = 540 : 540 : 540 = 1 : 1 : 1.
178
A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used?
Answer:
10 months
A's capital = 1/4, B's capital = 3/4. B's profit = 2/3, A's profit = 1/3. Profit ratio A:B = 1:2. Let B's time be t. (1/4 * 15) / (3/4 * t) = 1/2 => 15 / 3t = 1/2 => 30 = 3t => t = 10 months.
179
X, Y and Z start a business. X invests Rs. 8000 for 6 months, Y invests Rs. 10000 for 8 months, and Z invests Rs. 12000 for 10 months. If the total profit is Rs. 6200, find the share of X.
Answer:
Rs. 1200
Ratio = (8000*6) : (10000*8) : (12000*10) = 48 : 80 : 120 = 3 : 5 : 7.5 = 6 : 10 : 15. Total parts = 31. X's share = (6/31) * 6200 = 6 * 200 = Rs. 1200.
180
A and B entered into a partnership investing Rs. 15000 and Rs. 20000 respectively. After 6 months, C joined them with Rs. 30000. If the total profit at the end of the year is Rs. 10000, find C's share.
Answer:
Rs. 3000
A's capital = 15000 * 12. B's capital = 20000 * 12. C's capital = 30000 * 6. Ratio = 180000 : 240000 : 180000 = 3 : 4 : 3. Total parts = 10. C's share = (3/10) * 10000 = Rs. 3000.