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
101
If the banker's gain is Rs. 36 and the true discount is Rs. 240, find the banker's discount.
Answer:
Rs. 276
The relationship between Banker's Discount (BD), True Discount (TD), and Banker's Gain (BG) is BD = TD + BG. Plugging in the given values, BD = 240 + 36 = Rs. 276.
102
The true discount on a certain sum of money is Rs. 90 and the banker's discount is Rs. 108. Find the banker's gain.
Answer:
Rs. 18
Banker's Gain (BG) is the simple difference between the Banker's Discount (BD) and the True Discount (TD). Therefore, BG = BD - TD = 108 - 90 = Rs. 18.
103
If the banker's gain on a certain sum is Rs. 20, the true discount is Rs. 200, and the rate is 5% per annum, what is the time period in years?
Answer:
2 years
The Banker's Gain is calculated as BG = (TD * R * T) / 100. Substituting the given values, 20 = (200 * 5 * T) / 100. This simplifies to 20 = 10 * T, so T = 2 years.
104
If the true discount on a certain sum is Rs. 100, the rate is 10% per annum, and the time is 1 year, what is the banker's gain?
Answer:
Rs. 10
Banker's Gain (BG) is the simple interest on the True Discount (TD). Using the formula BG = (TD * R * T) / 100, we get BG = (100 * 10 * 1) / 100 = Rs. 10.
105
The banker's discount and true discount on a certain sum of money are Rs. 720 and Rs. 600 respectively. What is the present worth of the sum?
Answer:
Rs. 3000
Present Worth (PW) can be found using the formula PW = (TD^2) / (BD - TD). Substituting the values, PW = (600 * 600) / (720 - 600) = 360000 / 120 = Rs. 3000.
106
The banker's discount and true discount on a certain sum of money are Rs. 720 and Rs. 600 respectively. Find the sum due.
Answer:
Rs. 3600
To find the sum due (Amount) when BD and TD are given, use Amount = (BD * TD) / (BD - TD). Amount = (720 * 600) / (720 - 600) = 432000 / 120 = Rs. 3600.
107
Find the banker's gain on a bill of Rs. 3600 due 2 years hence at 10% per annum.
Answer:
Rs. 120
Banker's Gain (BG) is the difference between BD and TD. BD = (3600 * 10 * 2) / 100 = Rs. 720. TD = (3600 * 10 * 2) / 120 = Rs. 600. Thus, BG = BD - TD = 720 - 600 = Rs. 120.
108
Find the banker's discount on a bill of Rs. 3600 due 2 years hence at 10% per annum.
Answer:
Rs. 720
Banker's Discount (BD) is calculated as simple interest on the amount. BD = (Amount * R * T) / 100. So, BD = (3600 * 10 * 2) / 100 = 72000 / 100 = Rs. 720.
109
What is the present worth of Rs. 3600 due 2 years hence at 10% per annum?
Answer:
Rs. 3000
With Amount = Rs. 3600, R = 10%, and T = 2 years, the Present Worth PW = (100 * Amount) / (100 + R * T) = (100 * 3600) / (100 + 10 * 2) = 360000 / 120 = Rs. 3000.
110
Find the true discount on Rs. 3600 due 2 years hence at 10% per annum.
Answer:
Rs. 600
Here, Amount = Rs. 3600, R = 10%, and T = 2 years. True Discount TD = (Amount * R * T) / (100 + R * T) = (3600 * 10 * 2) / (100 + 10 * 2) = 72000 / 120 = Rs. 600.