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
131
P, Q, R invest in ratio 2:5:8. R gets Rs. 6000 more than P. Total profit?
Answer:
Rs. 15000
R - P = 8 - 2 = 6 parts. 6 parts = 6000 => 1 part = 1000. Total profit = 15 parts = Rs. 15000.
132
A and B invest Rs. 20000 and Rs. 30000. A withdraws Rs. 5000 after 6 months. B adds Rs. 10000 after 6 months. Profit ratio?
Answer:
7:14
A = (20*6) + (15*6) = 210. B = (30*6) + (40*6) = 420. Ratio = 210 : 420 = 1 : 2. Option A is 7:14 which is 1:2.
133
A starts with Rs. 12000. B joins after 4 months with Rs. 18000. C joins after 8 months with Rs. 36000. Profit ratio?
Answer:
1:1:1
A=12, B=8, C=4. Ratio = (12*12) : (18*8) : (36*4) = 144 : 144 : 144 = 1 : 1 : 1.
134
X invests Rs. 30000 for 12 months. Y invests Rs. 40000 for 9 months. Z invests Rs. 60000 for 6 months. Find profit ratio.
Answer:
1:1:1
Ratio = (30*12) : (40*9) : (60*6) = 360 : 360 : 360 = 1 : 1 : 1.
135
A, B and C invest Rs. 10000, Rs. 15000 and Rs. 20000. C gets 10% of profit for managing. Rest is distributed by capital. Total profit is Rs. 13500. Find C's total share.
Answer:
Rs. 6750
C's salary = 1350. Remaining profit = 12150. Ratio = 2:3:4. Total parts = 9. C's profit = (4/9)*12150 = 4*1350 = 5400. Total C = 1350 + 5400 = Rs. 6750.
136
A and B invest in ratio 3:5. A's time is 8 months. Profit ratio is 1:2. B's time?
Answer:
9.6 months
Let B's time be t. (3 * 8) / (5 * t) = 1/2 => 24 / 5t = 1/2 => 48 = 5t => t = 9.6 months.
137
P, Q, R invest in ratio 5:6:7. Q gets Rs. 1800. What is the total profit?
Answer:
Rs. 5400
Ratio = 5:6:7. Q's share = 6 parts = 1800 => 1 part = 300. Total profit = 18 parts = 18 * 300 = Rs. 5400.
138
A and B invest Rs. 15000 and Rs. 25000. After 6 months A adds Rs. 5000 and B adds Rs. 5000. Profit ratio at the end of the year?
Answer:
7:11
A = (15*6) + (20*6) = 210. B = (25*6) + (30*6) = 330. Ratio = 210 : 330 = 7 : 11.
139
A starts a business with Rs. 25000. B joins after 4 months with Rs. 40000. C joins after 8 months with Rs. 50000. Find the profit ratio.
Answer:
15:16:10
A=12, B=8, C=4. Ratio = (25*12) : (40*8) : (50*4) = 300 : 320 : 200 = 15 : 16 : 10.
140
X, Y and Z invest in a business. X invests Rs. 20000 for 12 months. Y invests Rs. 30000 for 8 months. Z invests Rs. 40000 for 6 months. What is the ratio of their profits?
Answer:
1:1:1
Ratio = (20*12) : (30*8) : (40*6) = 240 : 240 : 240 = 1 : 1 : 1.