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
181
A, B and C started a business with capitals in the ratio 2:3:5. At the end of the year, they received profits in the ratio 4:3:10. What is the ratio of time for which they contributed their capitals?
Answer:
2:1:2
Profit = Capital * Time. Therefore, Time = Profit / Capital. Ratio of times = 4/2 : 3/3 : 10/5 = 2 : 1 : 2.
182
A, B and C started a business. A invested 1/3 of the total capital, B invested 1/4 of the total capital, and C invested the remaining. If the total profit is Rs. 6000, what is C's share?
Answer:
Rs. 2500
Let total capital = 12 units. A's capital = 4. B's capital = 3. C's capital = 12 - 4 - 3 = 5. Ratio = 4:3:5. Total parts = 12. C's share = (5/12) * 6000 = Rs. 2500.
183
P and Q enter into a partnership. P invests Rs. 5000 for 8 months and Q invests Rs. 4000 for 10 months. What is the ratio of their profit sharing?
Answer:
1:1
Profit Ratio = (5000 * 8) : (4000 * 10) = 40000 : 40000 = 1 : 1.
184
A, B and C rent a piece of land for Rs. 2400. A puts 200 sheep for 6 weeks, B puts 150 sheep for 8 weeks, and C puts 300 sheep for 4 weeks. What is the share of C in the rent?
Answer:
Rs. 800
Ratio of sheep-weeks = (200*6) : (150*8) : (300*4) = 1200 : 1200 : 1200 = 1:1:1. Since the ratio is equal, they share the rent equally. C's share = 2400 / 3 = Rs. 800.
185
X and Y started a business by investing Rs. 50,000 and Rs. 60,000 respectively. X is a working partner and receives 10% of the profit as salary. If the total profit is Rs. 22,000, find Y's share.
Answer:
Rs. 10800
X's salary = 10% of 22000 = 2200. Remaining profit = 22000 - 2200 = 19800. Ratio of investments = 5:6. Total parts = 11. Y's share = (6/11) * 19800 = 6 * 1800 = Rs. 10800.
186
A, B and C invest in the ratio 2:3:5. A is an active partner and gets 20% of the total profit as salary. If the total profit is Rs. 10,000, what is A's total share?
Answer:
Rs. 3600
A's salary = 20% of 10000 = Rs. 2000. Remaining profit = 8000. Ratio = 2:3:5 (total 10 parts). A's profit share = (2/10) * 8000 = Rs. 1600. Total share of A = 2000 + 1600 = Rs. 3600.
187
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
Answer:
Rs. 8400
Ratio of investments = 22500 : 35000 = 225 : 350 = 9 : 14. Total parts = 23. Deepak's share = (14/23) * 13800 = 14 * 600 = Rs. 8400.
188
A and B invested in a business in the ratio 3:2. If 5% of total profit goes to a charity and A's share is Rs. 855, the total profit is:
Answer:
Rs. 1500
Profit after charity = 95%. A gets 3/5 of this. So A gets (3/5)*95% = 57% of total profit. 57% = 855. Total profit = 855 / 0.57 = 1500.
189
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share?
Answer:
Rs. 10,500
Simran's time = 36 months. Nanda's time = 30 months. Ratio = (50000 * 36) : (80000 * 30) = 180 : 240 = 3 : 4. Total parts = 7. Simran's share = (3/7) * 24500 = 3 * 3500 = Rs. 10,500.
190
A and B entered into a partnership with capitals in the ratio 4:5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Answer:
Rs. 330
A's initial = 4x, B's = 5x. A's capital: 4x for 3 months, 3x for 7 months (Total 10 months). A's eq = 12x + 21x = 33x. B's capital: 5x for 3 months, 4x for 7 months. B's eq = 15x + 28x = 43x. Ratio = 33 : 43. Total parts = 76. A's share = (33/76) * 760 = Rs. 330.