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
151
What is the present worth of Rs. 1650 due 1 year hence at 10% per annum?
Answer:
Rs. 1500
With Amount = Rs. 1650, R = 10%, and T = 1 year, the Present Worth PW = (100 * Amount) / (100 + R * T) = (100 * 1650) / (100 + 10 * 1) = 165000 / 110 = Rs. 1500.
152
Find the true discount on Rs. 1650 due 1 year hence at 10% per annum.
Answer:
Rs. 150
Here, Amount = Rs. 1650, R = 10%, and T = 1 year. True Discount TD = (Amount * R * T) / (100 + R * T) = (1650 * 10 * 1) / (100 + 10 * 1) = 16500 / 110 = Rs. 150.
153
The banker's discount and true discount on a certain sum of money are Rs. 330 and Rs. 300 respectively. What is the present worth of the sum?
Answer:
Rs. 3000
Present Worth (PW) can be found using the relationship PW = (TD^2) / (BD - TD). Substituting the values, PW = (300 * 300) / (330 - 300) = 90000 / 30 = Rs. 3000.
154
The banker's discount and true discount on a certain sum of money are Rs. 330 and Rs. 300 respectively. Find the sum due.
Answer:
Rs. 3300
To find the sum due (Amount) when BD and TD are known, use the formula: Amount = (BD * TD) / (BD - TD). Amount = (330 * 300) / (330 - 300) = 99000 / 30 = Rs. 3300.
155
Find the banker's gain on a bill of Rs. 3300 due 1 year hence at 10% per annum.
Answer:
Rs. 30
Banker's Gain (BG) is the difference between BD and TD. BD = (3300 * 10 * 1) / 100 = Rs. 330. TD = (3300 * 10 * 1) / 110 = Rs. 300. Therefore, BG = BD - TD = 330 - 300 = Rs. 30.
156
Find the banker's discount on a bill of Rs. 3300 due 1 year hence at 10% per annum.
Answer:
Rs. 330
Banker's Discount (BD) is the simple interest on the total amount. BD = (Amount * R * T) / 100. Substituting the given values, BD = (3300 * 10 * 1) / 100 = 33000 / 100 = Rs. 330.
157
What is the present worth of Rs. 3300 due 1 year hence at 10% per annum?
Answer:
Rs. 3000
The Present Worth (PW) is calculated as PW = (100 * Amount) / (100 + R * T). Here, Amount = Rs. 3300, R = 10%, and T = 1 year. PW = (100 * 3300) / (100 + 10) = 330000 / 110 = Rs. 3000.
158
Find the true discount on Rs. 3300 due 1 year hence at 10% per annum.
Answer:
Rs. 300
Using the True Discount formula TD = (Amount * R * T) / (100 + R * T). Substituting the values: TD = (3300 * 10 * 1) / (100 + 10 * 1) = 33000 / 110 = Rs. 300.
159
The banker's discount and true discount on a certain sum of money are Rs. 312.50 and Rs. 250 respectively. What is the present worth of the sum?
Answer:
Rs. 1000
To find the Present Worth (PW), we can use the formula PW = (TD^2) / (BD - TD). Substituting the values gives PW = (250 * 250) / (312.50 - 250) = 62500 / 62.50 = Rs. 1000.
160
The banker's discount and true discount on a certain sum of money are Rs. 312.50 and Rs. 250 respectively. Find the sum due.
Answer:
Rs. 1250
The sum due (Amount) is calculated using Amount = (BD * TD) / (BD - TD). Plugging in the given values: Amount = (312.50 * 250) / (312.50 - 250) = 78125 / 62.50 = Rs. 1250.