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
11
A, B and C invest Rs. 30000, Rs. 40000 and Rs. 50000. C gets 15% of profit for managing. Rest is distributed by capital. Total profit is Rs. 24000. Find C's total share.
Answer:
Rs. 12100
C's salary = 3600. Remaining profit = 20400. Ratio = 3:4:5. Total parts = 12. C's profit = (5/12)*20400 = 8500. Total C = 3600 + 8500 = Rs. 12100.
12
A and B invest in ratio 4:9. A's time is 18 months. Profit ratio is 1:2. B's time?
Answer:
16 months
Let B's time be t. (4 * 18) / (9 * t) = 1/2 => 72 / 9t = 1/2 => 144 = 9t => t = 16 months.
13
P, Q, R invest in ratio 5:7:9. R gets Rs. 8000 more than P. Total profit?
Answer:
Rs. 42000
R - P = 9 - 5 = 4 parts. 4 parts = 8000 => 1 part = 2000. Total profit = 21 parts = 21 * 2000 = Rs. 42000.
14
A and B invest Rs. 50000 and Rs. 60000. A withdraws Rs. 10000 after 6 months. B adds Rs. 10000 after 6 months. Profit ratio?
Answer:
9:13
A = (50*6) + (40*6) = 540. B = (60*6) + (70*6) = 780. Ratio = 540 : 780 = 54 : 78 = 9 : 13.
15
A starts with Rs. 20000. B joins after 4 months with Rs. 30000. C joins after 6 months with Rs. 40000. Profit ratio?
Answer:
1:1:1
A=12, B=8, C=6. Ratio = (20*12) : (30*8) : (40*6) = 240 : 240 : 240 = 1 : 1 : 1.
16
X invests Rs. 60000 for 12 months. Y invests Rs. 90000 for 8 months. Z invests Rs. 120000 for 6 months. Profit ratio?
Answer:
1:1:1
Ratio = (60*12) : (90*8) : (120*6) = 720 : 720 : 720 = 1 : 1 : 1.
17
A, B and C invest Rs. 25000, Rs. 35000 and Rs. 45000. B gets 10% of profit for managing. Rest is distributed by capital. Total profit is Rs. 21000. Find B's total share.
Answer:
Rs. 8400
B's salary = 2100. Remaining profit = 18900. Ratio = 25:35:45 = 5:7:9. Total parts = 21. B's profit = (7/21)*18900 = 6300. Total B = 2100 + 6300 = Rs. 8400.
18
A and B invest in ratio 3:7. A's time is 14 months. Profit ratio is 1:2. B's time?
Answer:
12 months
Let B's time be t. (3 * 14) / (7 * t) = 1/2 => 42 / 7t = 1/2 => 84 = 7t => t = 12 months.
19
P, Q, R invest in ratio 4:5:7. R gets Rs. 6000 more than P. Total profit?
Answer:
Rs. 36000
R - P = 7 - 4 = 3 parts. 3 parts = 6000 => 1 part = 2000. Total profit = 16 parts = 16 * 2000 = Rs. 32000.
20
A and B invest Rs. 40000 and Rs. 50000. A withdraws Rs. 10000 after 6 months. B adds Rs. 10000 after 6 months. Profit ratio?
Answer:
7:11
A = (40*6) + (30*6) = 420. B = (50*6) + (60*6) = 660. Ratio = 420 : 660 = 42 : 66 = 7 : 11.