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
21
A starts with Rs. 18000. B joins after 4 months with Rs. 27000. C joins after 6 months with Rs. 36000. Profit ratio?
Answer:
1:1:1
A=12, B=8, C=6. Ratio = (18*12) : (27*8) : (36*6) = 216 : 216 : 216 = 1 : 1 : 1.
22
X invests Rs. 50000 for 12 months. Y invests Rs. 75000 for 8 months. Z invests Rs. 100000 for 6 months. Profit ratio?
Answer:
1:1:1
Ratio = (50*12) : (75*8) : (100*6) = 600 : 600 : 600 = 1 : 1 : 1.
23
A, B and C invest Rs. 20000, Rs. 30000 and Rs. 40000. A gets 25% of profit for managing. Rest is distributed by capital. Total profit is Rs. 18000. Find A's total share.
Answer:
Rs. 7500
A's salary = 4500. Remaining profit = 13500. Ratio = 2:3:4. Total parts = 9. A's profit = (2/9)*13500 = 3000. Total A = 4500 + 3000 = Rs. 7500.
24
A and B invest in ratio 5:8. A's time is 16 months. Profit ratio is 1:1. B's time?
Answer:
10 months
Let B's time be t. (5 * 16) / (8 * t) = 1/1 => 80 / 8t = 1 => 8t = 80 => t = 10 months.
25
P, Q, R invest in ratio 3:4:5. R gets Rs. 3000 more than P. Total profit?
Answer:
Rs. 18000
R - P = 5 - 3 = 2 parts. 2 parts = 3000 => 1 part = 1500. Total profit = 12 parts = 12 * 1500 = Rs. 18000.
26
A and B invest Rs. 30000 and Rs. 40000. A withdraws Rs. 10000 after 6 months. B adds Rs. 10000 after 6 months. Profit ratio?
Answer:
5:9
A = (30*6) + (20*6) = 300. B = (40*6) + (50*6) = 540. Ratio = 300 : 540 = 5 : 9.
27
A starts with Rs. 16000. B joins after 4 months with Rs. 24000. C joins after 6 months with Rs. 32000. Profit ratio?
Answer:
1:1:1
A=12, B=9, C=6. Ratio = (16*12) : (24*9) : (32*6) = 192 : 216 : 192. Wait, 24*9 = 216. Ratio = 192 : 216 : 192 = 8 : 9 : 8. Let me check if my options are right. They are not. I'll fix the question: B joins with 21333.33... Let's change B's capital. If B joins with 25600, B=230.4. If B joins with 25600, not 1:1:1. If ratio is 1:1:1, B's cap * 9 = 192k => B's cap = 21.33k. Let's set the question to B joins after 4 months with 24000. Then B=8 months. 24*8 = 192! Yes.
28
X invests Rs. 40000 for 12 months. Y invests Rs. 60000 for 8 months. Z invests Rs. 80000 for 6 months. Profit ratio?
Answer:
1:1:1
Ratio = (40*12) : (60*8) : (80*6) = 480 : 480 : 480 = 1 : 1 : 1.
29
A, B and C invest Rs. 15000, Rs. 25000 and Rs. 35000. B gets 20% of profit for managing. Rest is distributed by capital. Total profit is Rs. 15000. Find B's total share.
Answer:
Rs. 7000
B's salary = 3000. Remaining profit = 12000. Ratio = 15:25:35 = 3:5:7. Total parts = 15. B's profit = (5/15) * 12000 = 4000. Total B = 3000 + 4000 = Rs. 7000.
30
A and B invest in ratio 4:7. A's time is 14 months. Profit ratio is 1:1. B's time?
Answer:
8 months
Let B's time be t. (4 * 14) / (7 * t) = 1/1 => 56 / 7t = 1 => 7t = 56 => t = 8 months.