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
1
P, Q, R invest in ratio 7:8:9. R gets Rs. 12000 more than P. Total profit?
Answer:
Rs. 144000
R - P = 9 - 7 = 2 parts. 2 parts = 12000 => 1 part = 6000. Total profit = 24 parts = 24 * 6000 = Rs. 144000.
2
A and B invest Rs. 70000 and Rs. 80000. A withdraws Rs. 10000 after 6 months. B adds Rs. 10000 after 6 months. Profit ratio?
Answer:
13:17
A = (70*6) + (60*6) = 780. B = (80*6) + (90*6) = 1020. Ratio = 780 : 1020 = 78 : 102 = 13 : 17.
3
A starts with Rs. 24000. B joins after 4 months with Rs. 36000. C joins after 6 months with Rs. 48000. Profit ratio?
Answer:
1:1:1
A=12, B=8, C=6. Ratio = (24*12) : (36*8) : (48*6) = 288 : 288 : 288 = 1 : 1 : 1.
4
X invests Rs. 80000 for 12 months. Y invests Rs. 120000 for 8 months. Z invests Rs. 160000 for 6 months. Profit ratio?
Answer:
1:1:1
Ratio = (80*12) : (120*8) : (160*6) = 960 : 960 : 960 = 1 : 1 : 1.
5
A, B and C invest Rs. 35000, Rs. 45000 and Rs. 55000. A gets 10% of profit for managing. Rest is distributed by capital. Total profit is Rs. 27000. Find A's total share.
Answer:
Rs. 9000
A's salary = 2700. Remaining profit = 24300. Ratio = 35:45:55 = 7:9:11. Total parts = 27. A's profit = (7/27)*24300 = 6300. Total A = 2700 + 6300 = Rs. 9000.
6
A and B invest in ratio 5:11. A's time is 22 months. Profit ratio is 1:2. B's time?
Answer:
20 months
Let B's time be t. (5 * 22) / (11 * t) = 1/2 => 110 / 11t = 1/2 => 10 / t = 1/2 => t = 20 months.
7
P, Q, R invest in ratio 6:7:8. R gets Rs. 10000 more than P. Total profit?
Answer:
Rs. 105000
R - P = 8 - 6 = 2 parts. 2 parts = 10000 => 1 part = 5000. Total profit = 21 parts = 21 * 5000 = Rs. 105000.
8
A and B invest Rs. 60000 and Rs. 70000. A withdraws Rs. 10000 after 6 months. B adds Rs. 10000 after 6 months. Profit ratio?
Answer:
11:15
A = (60*6) + (50*6) = 660. B = (70*6) + (80*6) = 900. Ratio = 660 : 900 = 66 : 90 = 11 : 15.
9
A starts with Rs. 22000. B joins after 4 months with Rs. 33000. C joins after 6 months with Rs. 44000. Profit ratio?
Answer:
1:1:1
A=12, B=8, C=6. Ratio = (22*12) : (33*8) : (44*6) = 264 : 264 : 264 = 1 : 1 : 1.
10
X invests Rs. 70000 for 12 months. Y invests Rs. 105000 for 8 months. Z invests Rs. 140000 for 6 months. Profit ratio?
Answer:
1:1:1
Ratio = (70*12) : (105*8) : (140*6) = 840 : 840 : 840 = 1 : 1 : 1.