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
81
P, Q, R started a business. P invested Rs. 15000, Q invested Rs. 18000, and R invested Rs. 21000. If the difference between the profits of R and P is Rs. 1200, what is Q's profit?
Answer:
Rs. 3600
Ratio = 15:18:21 = 5:6:7. Difference between R and P = 7 - 5 = 2 parts. 2 parts = 1200 => 1 part = 600. Q's profit = 6 parts = 6 * 600 = Rs. 3600.
82
A, B, C enter a partnership. A contributes 1/2 of the capital, B contributes 1/3, and C the rest. If total profit is Rs. 6000, what is C's share?
Answer:
Rs. 1000
C's capital = 1 - (1/2 + 1/3) = 1 - 5/6 = 1/6. Ratio = 1/2 : 1/3 : 1/6 = 3 : 2 : 1. C's share = (1/6) * 6000 = Rs. 1000.
83
M and N start a business. M invests Rs. 12000 for 8 months and N invests Rs. 15000 for 10 months. If M's profit is Rs. 3200, find the total profit.
Answer:
Rs. 8200
Ratio = (12000*8) : (15000*10) = 96 : 150 = 16 : 25. Total parts = 41. M's share is 16 parts = 3200 => 1 part = 200. Total profit = 41 * 200 = Rs. 8200.
84
A, B and C invest in a business. A invests Rs. 5000 for 12 months. B invests Rs. 6000 for 9 months. C invests Rs. 8000 for 6 months. If the total profit is Rs. 16200, find the share of C.
Answer:
Rs. 4800
Ratio = (5*12) : (6*9) : (8*6) = 60 : 54 : 48 = 10 : 9 : 8. Total parts = 27. C's share = (8/27) * 16200 = 8 * 600 = Rs. 4800.
85
A and B entered into a business. A invested Rs. 8000 and B invested Rs. 10000. After 6 months A adds Rs. 2000 and B adds Rs. 2000. What is their profit ratio at the end of the year?
Answer:
9:11
A = (8000*6) + (10000*6) = 108000. B = (10000*6) + (12000*6) = 132000. Ratio = 108 : 132 = 9 : 11.
86
X, Y and Z enter into a partnership. X invests Rs. 6000 for 5 months, Y invests Rs. 5000 for 6 months, and Z invests Rs. 4000 for 8 months. What is Y's share out of a total profit of Rs. 4600?
Answer:
Rs. 1500
Ratio = (6000*5) : (5000*6) : (4000*8) = 30 : 30 : 32 = 15 : 15 : 16. Total parts = 46. Y's share = (15/46) * 4600 = 15 * 100 = Rs. 1500.
87
A, B and C invest Rs. 10000, Rs. 15000 and Rs. 20000 in a business. A acts as a manager and receives 10% of profit. B and C receive 5% each. If the total profit is Rs. 9000, find A's total share.
Answer:
Rs. 2500
Total salary given = 20% of 9000 = 1800. Remaining profit = 7200. Ratio = 10:15:20 = 2:3:4. Total parts = 9. A's profit = (2/9)*7200 = 1600. A's salary = 10% of 9000 = 900. Total A = 1600 + 900 = Rs. 2500.
88
A started a business with Rs. 15000. B joined after 6 months with Rs. 20000. What is the ratio of their profits at the end of the year?
Answer:
3:2
Ratio = (15000*12) : (20000*6) = 180000 : 120000 = 3 : 2.
89
P, Q, R start a business. P invests Rs. 12000 for 6 months. Q invests Rs. 15000 for 8 months. R invests Rs. 18000 for 10 months. If the total profit is Rs. 12400, find the share of P.
Answer:
Rs. 2400
Ratio = (12000*6) : (15000*8) : (18000*10) = 72 : 120 : 180 = 6 : 10 : 15. Total parts = 31. P's share = (6/31) * 12400 = 6 * 400 = Rs. 2400.
90
A, B and C invest in the ratio 2:3:4. The ratio of their time periods is 3:4:5. Find the ratio of their profits.
Answer:
3:6:10
Profit ratio = (2*3) : (3*4) : (4*5) = 6 : 12 : 20 = 3 : 6 : 10.