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
161
A and B start a business. A invests Rs. 4000 for 8 months. B invests Rs. 6000 for 10 months. C joins after 6 months with Rs. 8000. Profit ratio?
Answer:
8:15:12
A = 4000 * 8 = 32000. B = 6000 * 10 = 60000. C = 8000 * 6 = 48000. Ratio = 32 : 60 : 48 = 8 : 15 : 12.
162
X, Y, Z invest Rs. 10000, Rs. 12000, Rs. 14000. After 6 months X adds Rs. 2000, Y adds Rs. 3000, Z adds Rs. 4000. Find the profit ratio.
Answer:
22:27:32
X = (10*6) + (12*6) = 132. Y = (12*6) + (15*6) = 162. Z = (14*6) + (18*6) = 192. Ratio = 132 : 162 : 192. Divide by 6: 22 : 27 : 32.
163
A, B and C invest Rs. 5000, Rs. 7000 and Rs. 9000. If A's profit is Rs. 1500, what is total profit?
Answer:
Rs. 6300
Ratio = 5:7:9. A's share is 5 parts = 1500 => 1 part = 300. Total profit = 21 parts = 21 * 300 = Rs. 6300.
164
P, Q, R invest Rs. 12000, Rs. 15000, Rs. 18000. R is active partner and gets 10% of profit. If total profit is Rs. 9000, what is R's total share?
Answer:
Rs. 4140
R's salary = 900. Remaining profit = 8100. Ratio = 12:15:18 = 4:5:6. Total parts = 15. R's profit = (6/15) * 8100 = 6 * 540 = 3240. Total R = 900 + 3240 = Rs. 4140.
165
A and B invest in ratio 5:6. After 4 months, A withdraws 1/5 of his capital and B adds 1/6 of his capital. Profit ratio?
Answer:
13:20
A = (5*4) + (4*8) = 20 + 32 = 52. B = (6*4) + (7*8) = 24 + 56 = 80. Ratio = 52 : 80 = 13 : 20. Wait, 13:20 is not in options. Let me recalculate. 5*4 + 4*8 = 52. 6*4 + 7*8 = 80. 52:80 = 13:20. Let me add option D as 13:20.
166
A, B and C invest Rs. 6000, Rs. 8000 and Rs. 10000. After 6 months A adds Rs. 2000, B withdraws Rs. 2000. What is C's share out of Rs. 9600 profit?
Answer:
Rs. 4000
A = (6*6) + (8*6) = 84. B = (8*6) + (6*6) = 84. C = 10 * 12 = 120. Ratio = 84:84:120 = 7:7:10. Total parts = 24. C's share = (10/24) * 10400 = 4333.33. Not integer. Let's make profit Rs. 9600. C's share = (10/24)*9600 = 4000.
167
X, Y, Z invest Rs. 15000, Rs. 20000, Rs. 25000. X gets 20% of profit for managing. If total profit is Rs. 12000, find X's total share.
Answer:
Rs. 4800
X's salary = 2400. Remaining profit = 9600. Ratio = 3:4:5. Total parts = 12. X's profit share = (3/12) * 9600 = 2400. Total X = 2400 + 2400 = Rs. 4800.
168
A and B invest in ratio 2:3. B invested for 12 months. If A's profit is half of B's profit, for how many months did A invest?
Answer:
9 months
Let A's time be t. (2 * t) / (3 * 12) = 1/2 => 2t / 36 = 1/2 => 4t = 36 => t = 9 months.
169
A, B and C invest in ratio 3:4:5. C gets Rs. 3000 more than A. Total profit?
Answer:
Rs. 18000
Difference C and A = 5 - 3 = 2 parts. 2 parts = 3000 => 1 part = 1500. Total profit = 12 parts = 12 * 1500 = Rs. 18000.
170
M and N invest Rs. 20000 and Rs. 25000. After 6 months M adds Rs. 5000 and N adds Rs. 5000. Profit is Rs. 16000. Find M's share.
Answer:
Rs. 7200
M = (20*6) + (25*6) = 120 + 150 = 270. N = (25*6) + (30*6) = 150 + 180 = 330. Ratio = 270 : 330 = 9 : 11. Total parts = 20. M's share = (9/20) * 16200 = 9 * 810 = Rs. 7290. Let me check the options. Option A is 7200. I'll make the profit Rs. 16000. M's share = (9/20)*16000 = 7200.