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
171
The banker's discount and true discount on a certain sum of money are Rs. 432 and Rs. 400 respectively. What is the present worth of the sum?
Answer:
Rs. 5000
Present Worth (PW) can be found using the formula PW = (TD^2) / (BD - TD). Substituting the values, PW = (400 * 400) / (432 - 400) = 160000 / 32 = Rs. 5000.
172
The banker's discount and true discount on a certain sum of money are Rs. 432 and Rs. 400 respectively. Find the sum due.
Answer:
Rs. 5400
To find the sum due (Amount) when BD and TD are given, use Amount = (BD * TD) / (BD - TD). Amount = (432 * 400) / (432 - 400) = 172800 / 32 = Rs. 5400.
173
Find the banker's gain on a bill of Rs. 5400 due 6 months hence at 16% per annum.
Answer:
Rs. 32
Banker's Gain (BG) is the difference between BD and TD. BD = (5400 * 16 * 0.5) / 100 = Rs. 432. TD = (5400 * 16 * 0.5) / 108 = Rs. 400. Thus, BG = BD - TD = 432 - 400 = Rs. 32.
174
Find the banker's discount on a bill of Rs. 5400 due 6 months hence at 16% per annum.
Answer:
Rs. 432
Banker's Discount (BD) is calculated as simple interest on the amount. BD = (Amount * R * T) / 100. So, BD = (5400 * 16 * 0.5) / 100 = 43200 / 100 = Rs. 432.
175
What is the present worth of Rs. 5400 due 6 months hence at 16% per annum?
Answer:
Rs. 5000
With Amount = Rs. 5400, R = 16%, and T = 0.5 years, the Present Worth PW = (100 * Amount) / (100 + R * T) = (100 * 5400) / (100 + 16 * 0.5) = 540000 / 108 = Rs. 5000.
176
Find the true discount on Rs. 5400 due 6 months hence at 16% per annum.
Answer:
Rs. 400
Here, Amount = Rs. 5400, R = 16%, and T = 0.5 years. True Discount TD = (Amount * R * T) / (100 + R * T) = (5400 * 16 * 0.5) / (100 + 16 * 0.5) = 43200 / 108 = Rs. 400.
177
The banker's discount and true discount on a certain sum of money are Rs. 41.60 and Rs. 40 respectively. What is the present worth of the sum?
Answer:
Rs. 1000
Present Worth (PW) can be found using the formula PW = (TD^2) / (BD - TD). Substituting the values, PW = (40 * 40) / (41.60 - 40) = 1600 / 1.60 = Rs. 1000.
178
The banker's discount and true discount on a certain sum of money are Rs. 41.60 and Rs. 40 respectively. Find the sum due.
Answer:
Rs. 1040
To find the sum due (Amount) when BD and TD are known, use Amount = (BD * TD) / (BD - TD). Amount = (41.60 * 40) / (41.60 - 40) = 1664 / 1.60 = Rs. 1040.
179
Find the banker's gain on a bill of Rs. 1040 due 6 months hence at 8% per annum.
Answer:
Rs. 1.60
Banker's Gain (BG) is the difference between BD and TD. BD = (1040 * 8 * 0.5) / 100 = Rs. 41.60. TD = (1040 * 8 * 0.5) / 104 = Rs. 40. Thus, BG = BD - TD = 41.60 - 40 = Rs. 1.60.
180
Find the banker's discount on a bill of Rs. 1040 due 6 months hence at 8% per annum.
Answer:
Rs. 41.60
Banker's Discount is the simple interest on the total amount. BD = (Amount * R * T) / 100. Substituting the values: BD = (1040 * 8 * 0.5) / 100 = 4160 / 100 = Rs. 41.60.