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
71
A, B and C invest Rs. 5000, Rs. 6000 and Rs. 7000. After 4 months A withdraws Rs. 1000. After 8 months B adds Rs. 1000. C invests for the whole year. Profit ratio?
Answer:
52:76:84
A = (5*4) + (4*8) = 20 + 32 = 52. B = (6*8) + (7*4) = 48 + 28 = 76. C = 7 * 12 = 84. Ratio = 52 : 76 : 84.
72
X and Y invest in the ratio 4:5. X invests for 10 months and Y invests for 8 months. What is the ratio of their profits?
Answer:
1:1
Profit ratio = (4 * 10) : (5 * 8) = 40 : 40 = 1 : 1.
73
A, B and C invest Rs. 15000, Rs. 20000 and Rs. 25000 in a business. A gets 15% of profit and B gets 10% of profit for managing. The rest is shared by capital. If total profit is Rs. 12000, what is C's share?
Answer:
Rs. 3750
Total salary = 25% of 12000 = 3000. Remaining profit = 9000. Ratio = 15:20:25 = 3:4:5. Total parts = 12. C's share = (5/12) * 9000 = 5 * 750 = Rs. 3750.
74
P and Q start a business investing Rs. 40000 and Rs. 50000. After 4 months, P withdraws Rs. 10000 and Q withdraws Rs. 10000. Find their profit ratio at the end of the year.
Answer:
10:13
P = (40*4) + (30*8) = 160 + 240 = 400. Q = (50*4) + (40*8) = 200 + 320 = 520. Ratio = 400 : 520 = 10 : 13.
75
A, B and C invest Rs. 12000, Rs. 18000 and Rs. 24000. A is an active partner and gets 10% of profit. If total profit is Rs. 10000, find B's share.
Answer:
Rs. 3000
A's salary = 1000. Remaining profit = 9000. Ratio = 12:18:24 = 2:3:4. Total parts = 9. B's share = (3/9) * 9000 = Rs. 3000.
76
X invests Rs. 50000 for 12 months. Y invests Rs. 60000 for 9 months. Z invests Rs. 70000 for 6 months. Ratio of their profits is:
Answer:
10:9:7
Ratio = (50*12) : (60*9) : (70*6) = 600 : 540 : 420 = 60 : 54 : 42 = 10 : 9 : 7.
77
A and B entered into a partnership investing Rs. 15000 and Rs. 20000. B is a working partner and gets 20% of total profit. Remaining profit is distributed by capital ratio. If A's share is Rs. 2400, what is B's total share?
Answer:
Rs. 4600
Ratio = 15:20 = 3:4. Total parts = 7. A gets (3/7) of 80% of total profit (0.8P). A's share = (3/7)*0.8P = 2400. 0.8P = 5600 => P = 7000. B's profit share = (4/7)*5600 = 3200. B's salary = 20% of 7000 = 1400. Total B = 3200 + 1400 = Rs. 4600. Let me check options. Option B is 4600. I will select option b.
78
M and N start a business with Rs. 10000 and Rs. 15000. After 6 months M adds Rs. 5000 and N withdraws Rs. 5000. Find their profit ratio at the end of the year.
Answer:
1:1
M = (10000*6) + (15000*6) = 150000. N = (15000*6) + (10000*6) = 150000. Ratio = 150000 : 150000 = 1:1. Wait, let's recheck. Option c is 1:1. I'll correct the option marking.
79
A, B and C are partners. A invests Rs. 12000 for 8 months. B invests Rs. 16000 for 6 months. C invests Rs. 20000 for 4 months. If A's profit is Rs. 2400, what is total profit?
Answer:
Rs. 6800
Ratio = (12*8) : (16*6) : (20*4) = 96 : 96 : 80 = 6 : 6 : 5. Total parts = 17. A's share is 6 parts = 2400 => 1 part = 400. Total profit = 17 * 400 = Rs. 6800.
80
X starts a business with Rs. 20000. After 3 months, Y joins with Rs. 30000. After another 3 months, Z joins with Rs. 40000. If total profit at year end is Rs. 25000, what is X's share?
Answer:
Rs. 8000
X=12 months, Y=9 months, Z=6 months. Ratio = (20*12) : (30*9) : (40*6) = 240 : 270 : 240 = 24 : 27 : 24 = 8 : 9 : 8. Total parts = 25. 24000 / 25 = 960. X's share = 8 * 960 = 7680. Let me change profit to 25000. X's share = 8000.