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
111
The banker's discount and true discount on a certain sum of money are Rs. 268.80 and Rs. 240 respectively. What is the present worth of the sum?
Answer:
Rs. 2000
Present Worth (PW) can be found using the relationship PW = (TD^2) / (BD - TD). Substituting the values, PW = (240 * 240) / (268.80 - 240) = 57600 / 28.80 = Rs. 2000.
112
The banker's discount and true discount on a certain sum of money are Rs. 268.80 and Rs. 240 respectively. Find the sum due.
Answer:
Rs. 2240
To find the sum due (Amount) when BD and TD are known, use the formula: Amount = (BD * TD) / (BD - TD). Amount = (268.80 * 240) / (268.80 - 240) = 64512 / 28.80 = Rs. 2240.
113
Find the banker's gain on a bill of Rs. 2240 due 1 year hence at 12% per annum.
Answer:
Rs. 28.80
Banker's Gain (BG) is the difference between BD and TD. BD = (2240 * 12 * 1) / 100 = Rs. 268.80. TD = (2240 * 12 * 1) / 112 = Rs. 240. Therefore, BG = BD - TD = 268.80 - 240 = Rs. 28.80.
114
Find the banker's discount on a bill of Rs. 2240 due 1 year hence at 12% per annum.
Answer:
Rs. 268.80
Banker's Discount (BD) is the simple interest on the total amount. BD = (Amount * R * T) / 100. Substituting the given values, BD = (2240 * 12 * 1) / 100 = 26880 / 100 = Rs. 268.80.
115
What is the present worth of Rs. 2240 due 1 year hence at 12% per annum?
Answer:
Rs. 2000
The Present Worth (PW) is calculated as PW = (100 * Amount) / (100 + R * T). Here, Amount = Rs. 2240, R = 12%, and T = 1 year. PW = (100 * 2240) / (100 + 12) = 224000 / 112 = Rs. 2000.
116
Find the true discount on Rs. 2240 due 1 year hence at 12% per annum.
Answer:
Rs. 240
Using the True Discount formula TD = (Amount * R * T) / (100 + R * T). Substituting the values: TD = (2240 * 12 * 1) / (100 + 12 * 1) = 26880 / 112 = Rs. 240.
117
The banker's discount and true discount on a certain sum of money are Rs. 254.10 and Rs. 210 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 = (210 * 210) / (254.10 - 210) = 44100 / 44.10 = Rs. 1000.
118
The banker's discount and true discount on a certain sum of money are Rs. 254.10 and Rs. 210 respectively. Find the sum due.
Answer:
Rs. 1210
To find the sum due (Amount) when BD and TD are given, use Amount = (BD * TD) / (BD - TD). Amount = (254.10 * 210) / (254.10 - 210) = 53361 / 44.10 = Rs. 1210.
119
Find the banker's gain on a bill of Rs. 1210 due 3 years hence at 7% per annum.
Answer:
Rs. 44.10
Banker's Gain (BG) is the difference between BD and TD. BD = (1210 * 7 * 3) / 100 = Rs. 254.10. TD = (1210 * 7 * 3) / 121 = Rs. 210. Thus, BG = BD - TD = 254.10 - 210 = Rs. 44.10.
120
Find the banker's discount on a bill of Rs. 1210 due 3 years hence at 7% per annum.
Answer:
Rs. 254.10
Banker's Discount (BD) is calculated as simple interest on the amount. BD = (Amount * R * T) / 100. So, BD = (1210 * 7 * 3) / 100 = 25410 / 100 = Rs. 254.10.