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
141
The banker's discount and true discount on a certain sum of money are Rs. 960 and Rs. 800 respectively. What is the present worth of the sum?
Answer:
Rs. 4000
Present Worth (PW) can be found using the relationship PW = (TD^2) / (BD - TD). Substituting the values, PW = (800 * 800) / (960 - 800) = 640000 / 160 = Rs. 4000.
142
The banker's discount and true discount on a certain sum of money are Rs. 960 and Rs. 800 respectively. Find the sum due.
Answer:
Rs. 4800
To find the sum due (Amount) when BD and TD are known, use the formula: Amount = (BD * TD) / (BD - TD). Amount = (960 * 800) / (960 - 800) = 768000 / 160 = Rs. 4800.
143
Find the banker's gain on a bill of Rs. 4800 due 2 years hence at 10% per annum.
Answer:
Rs. 160
Banker's Gain (BG) is the difference between BD and TD. BD = (4800 * 10 * 2) / 100 = Rs. 960. TD = (4800 * 10 * 2) / 120 = Rs. 800. Therefore, BG = BD - TD = 960 - 800 = Rs. 160.
144
Find the banker's discount on a bill of Rs. 4800 due 2 years hence at 10% per annum.
Answer:
Rs. 960
Banker's Discount (BD) is the simple interest on the total amount. BD = (Amount * R * T) / 100. Substituting the given values, BD = (4800 * 10 * 2) / 100 = 96000 / 100 = Rs. 960.
145
What is the present worth of Rs. 4800 due 2 years hence at 10% per annum?
Answer:
Rs. 4000
The Present Worth (PW) is calculated as PW = (100 * Amount) / (100 + R * T). Here, Amount = Rs. 4800, R = 10%, and T = 2 years. PW = (100 * 4800) / (100 + 20) = 480000 / 120 = Rs. 4000.
146
Find the true discount on Rs. 4800 due 2 years hence at 10% per annum.
Answer:
Rs. 800
Using the True Discount formula TD = (Amount * R * T) / (100 + R * T). Substituting the values: TD = (4800 * 10 * 2) / (100 + 10 * 2) = 96000 / 120 = Rs. 800.
147
The banker's discount and true discount on a certain sum of money are Rs. 165 and Rs. 150 respectively. What is the present worth of the sum?
Answer:
Rs. 1500
Present Worth (PW) can be found using the formula PW = (TD^2) / (BD - TD). Substituting the values, PW = (150 * 150) / (165 - 150) = 22500 / 15 = Rs. 1500.
148
The banker's discount and true discount on a certain sum of money are Rs. 165 and Rs. 150 respectively. Find the sum due.
Answer:
Rs. 1650
To find the sum due (Amount) when BD and TD are given, use Amount = (BD * TD) / (BD - TD). Amount = (165 * 150) / (165 - 150) = 24750 / 15 = Rs. 1650.
149
Find the banker's gain on a bill of Rs. 1650 due 1 year hence at 10% per annum.
Answer:
Rs. 15
Banker's Gain (BG) is the difference between BD and TD. BD = (1650 * 10 * 1) / 100 = Rs. 165. TD = (1650 * 10 * 1) / 110 = Rs. 150. Thus, BG = BD - TD = 165 - 150 = Rs. 15.
150
Find the banker's discount on a bill of Rs. 1650 due 1 year hence at 10% per annum.
Answer:
Rs. 165
Banker's Discount (BD) is calculated as simple interest on the amount. BD = (Amount * R * T) / 100. So, BD = (1650 * 10 * 1) / 100 = 16500 / 100 = Rs. 165.