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
181
What is the present worth of Rs. 1040 due 6 months hence at 8% per annum?
Answer:
Rs. 1000
With Amount = Rs. 1040, R = 8%, and T = 0.5 years. The Present Worth PW = (100 * Amount) / (100 + R * T) = (100 * 1040) / (100 + 8 * 0.5) = 104000 / 104 = Rs. 1000.
182
Find the true discount on Rs. 1040 due 6 months hence at 8% per annum.
Answer:
Rs. 40
Here, Amount = Rs. 1040, R = 8%, and T = 6/12 = 0.5 years. True Discount TD = (Amount * R * T) / (100 + R * T) = (1040 * 8 * 0.5) / (100 + 8 * 0.5) = 4160 / 104 = Rs. 40.
183
The banker's discount and true discount on a certain sum of money are Rs. 220 and Rs. 200 respectively. What is the present worth of the sum?
Answer:
Rs. 2000
To find the Present Worth (PW), we can use the formula PW = (TD^2) / (BD - TD). Substituting the values gives PW = (200 * 200) / (220 - 200) = 40000 / 20 = Rs. 2000.
184
The banker's discount and true discount on a certain sum of money are Rs. 220 and Rs. 200 respectively. Find the sum due.
Answer:
Rs. 2200
The sum due (Amount) is calculated using Amount = (BD * TD) / (BD - TD). Plugging in the given values: Amount = (220 * 200) / (220 - 200) = 44000 / 20 = Rs. 2200.
185
Find the banker's gain on a bill of Rs. 2200 due 2 years hence at 5% per annum.
Answer:
Rs. 20
Banker's Gain (BG) is the difference between Banker's Discount (BD) and True Discount (TD). We have BD = (2200 * 5 * 2) / 100 = Rs. 220, and TD = (2200 * 5 * 2) / 110 = Rs. 200. So, BG = 220 - 200 = Rs. 20.
186
Find the banker's discount on a bill of Rs. 2200 due 2 years hence at 5% per annum.
Answer:
Rs. 220
The Banker's Discount (BD) is simple interest on the total amount due. BD = (Amount * R * T) / 100 = (2200 * 5 * 2) / 100 = 22000 / 100 = Rs. 220.
187
What is the present worth of Rs. 2200 due 2 years hence at 5% per annum?
Answer:
Rs. 2000
Present Worth (PW) is calculated as PW = (100 * Amount) / (100 + R * T). Plugging in the given values: PW = (100 * 2200) / (100 + 10) = 220000 / 110 = Rs. 2000.
188
Find the true discount on Rs. 2200 due 2 years hence at 5% per annum.
Answer:
Rs. 200
Using the True Discount formula TD = (Amount * R * T) / (100 + R * T). Substituting the values: TD = (2200 * 5 * 2) / (100 + 5 * 2) = 22000 / 110 = Rs. 200.
189
The banker's discount and true discount on a certain sum of money are Rs. 110 and Rs. 100 respectively. What is the present worth of the sum?
Answer:
Rs. 1000
Present Worth (PW) can be found using the relationship PW = (TD^2) / (BD - TD). Substituting the values, PW = (100 * 100) / (110 - 100) = 10000 / 10 = Rs. 1000.
190
The banker's discount and true discount on a certain sum of money are Rs. 110 and Rs. 100 respectively. Find the sum due.
Answer:
Rs. 1100
To find the sum due (Amount) when BD and TD are known, use the formula: Amount = (BD * TD) / (BD - TD). Amount = (110 * 100) / (110 - 100) = 11000 / 10 = Rs. 1100.