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
151
A, B and C invest Rs. 2000, Rs. 3000 and Rs. 4000. B gets 20% of profit for managing. If total profit is Rs. 4500, what is B's total share?
Answer:
Rs. 2100
B's salary = 20% of 4500 = 900. Remaining profit = 3600. Ratio = 2:3:4. Total parts = 9. B's profit = (3/9) * 3600 = 1200. Total B = 900 + 1200 = Rs. 2100.
152
P, Q and R invest in a business. P invests 3 times as much as Q. Q invests 1/4 of R. Total profit is Rs. 8000. What is P's share?
Answer:
Rs. 3000
Let R = 4x. Q = x. P = 3x. Ratio P:Q:R = 3:1:4. Total parts = 8. P's share = (3/8) * 11000 = 4125. Let me make profit Rs. 8000. P's share = 3000. I'll update profit to Rs. 8000.
153
M and N invest Rs. 50000 and Rs. 70000. M withdraws Rs. 10000 after 6 months. N adds Rs. 10000 after 6 months. Profit ratio?
Answer:
3:5
M = (50*6) + (40*6) = 540. N = (70*6) + (80*6) = 900. Ratio = 540 : 900 = 54 : 90 = 3 : 5.
154
A, B and C invest Rs. 8000, Rs. 12000 and Rs. 16000. A gets 12.5% of total profit for managing. Rest is shared by capital. If A's total share is Rs. 2300, what is the total profit?
Answer:
Rs. 7200
A gets 1/8 P. Rem = 7/8 P. Ratio = 8:12:16 = 2:3:4. Total parts = 9. A's profit share = (2/9)*(7/8)P = 14/72 P = 7/36 P. Total A = (1/8 + 7/36) P = (9+14)/72 P = 23/72 P. 23/72 P = 3100 => P = 9704. Let's adjust total profit to Rs. 7200. A's salary = 900. Rem = 6300. A's profit = (2/9)*6300 = 1400. Total A = 2300. I'll make A's share Rs. 2300.
155
A and B invest Rs. 18000 and Rs. 24000. After 4 months A adds Rs. 2000. After 8 months B withdraws Rs. 4000. If profit is Rs. 12600, find B's share.
Answer:
Rs. 6800
A = (18*4) + (20*8) = 72 + 160 = 232. B = (24*8) + (20*4) = 192 + 80 = 272. Ratio = 232 : 272 = 29 : 34. Total parts = 63. Wait. 13800/63 is not integer. Let me adjust profit to Rs. 12600. B's share = (34/63)*12600 = 6800.
156
X starts a business with Rs. 40000. Y joins after 2 months with Rs. 50000. Z joins after 4 months with Rs. 60000. Ratio of profits at end of year?
Answer:
24:25:24
X=12 months, Y=10 months, Z=8 months. Ratio = (40*12) : (50*10) : (60*8) = 480 : 500 : 480 = 24 : 25 : 24.
157
A, B, C start a business. A invests Rs. 12000 for 4 months, B Rs. 14000 for 5 months, C Rs. 16000 for 6 months. Profit is Rs. 10700. C's share?
Answer:
Rs. 4800
Ratio = (12*4) : (14*5) : (16*6) = 48 : 70 : 96 = 24 : 35 : 48. Total parts = 107. C's share = (48/107) * 10700 = Rs. 4800.
158
P and Q invest in a business. P invests 2/5 of total capital for 6 months. Q invests rest for 10 months. Profit is Rs. 4200. Find P's share.
Answer:
Rs. 1200
P's cap = 2/5, Q's cap = 3/5. Profit ratio = (2/5 * 6) : (3/5 * 10) = 12 : 30 = 2 : 5. Total parts = 7. P's share = (2/7) * 4200 = 2 * 600 = Rs. 1200.
159
A, B and C invest Rs. 15000, Rs. 25000 and Rs. 35000. B gets Rs. 2000 more than A. Total profit?
Answer:
Rs. 15000
Ratio = 15:25:35 = 3:5:7. B - A = 5 - 3 = 2 parts. 2 parts = 2000 => 1 part = 1000. Total profit = 15 parts = 15 * 1000 = Rs. 15000.
160
M invests Rs. 20000 and N invests Rs. 30000. M gets 20% of profit for managing. Rest is shared by capital. If M gets Rs. 3900, find total profit.
Answer:
Rs. 7500
M gets 0.2P as salary. Rem = 0.8P. Ratio = 2:3. M's profit share = (2/5)*0.8P = 0.32P. Total M = 0.2P + 0.32P = 0.52P. 0.52P = 3800 => P = 3800 / 0.52 = 7307.69. Not integer. Let's adjust total profit. Let total profit be Rs. 7500. M's salary = 1500. Rem = 6000. M's profit = (2/5)*6000 = 2400. M's total = 3900. I'll make M's total Rs. 3900.