All Categories MCQs
Topic Notes: All Categories
General Description
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
4041
A sum of money invested at compound interest doubles itself in 6 years. In how many years will it become 64 times itself?
Answer:
36 years
The sum doubles (2¹) in 6 years. 64 is 2⁶. Therefore, the time required is 6 × 6 years = 36 years.
4042
The difference between simple interest and compound interest on Rs. 15000 for 2 years is Rs. 96. What is the rate of interest?
Answer:
8%
Difference D = P(R/100)². 96 = 15000(R² / 10000). 96 = 1.5R². R² = 96 / 1.5 = 64. R = 8%.
4043
A certain sum amounts to Rs. 7350 in 2 years and to Rs. 8575 in 3 years at compound interest. Find the sum.
Answer:
Rs. 5400
Interest for the 3rd year = 8575 - 7350 = 1225. Rate = (1225 / 7350) × 100 = 16 2/3 %. Principal P = 7350 / (1 + 1/6)² = 7350 × 36 / 49 = 150 × 36 = Rs. 5400.
4044
A sum of Rs. 12000 is deposited at compound interest. If it doubles in 5 years, how much will it be after 20 years?
Answer:
Rs. 192000
The sum doubles every 5 years. In 20 years, there are 4 periods of 5 years. The sum will be multiplied by 2⁴ = 16. Total amount = 12000 × 16 = Rs. 192000.
4045
Find the compound interest on Rs. 10000 for 2 years at 4% p.a. for the first year and 5% p.a. for the second year.
Answer:
Rs. 920
Amount A = P(1 + R1/100)(1 + R2/100) = 10000(1.04)(1.05) = 10000 × 1.092 = 10920. CI = A - P = 10920 - 10000 = Rs. 920.
4046
The simple interest on a sum of money for 3 years is Rs. 240 and the compound interest on the same sum at the same rate for 2 years is Rs. 170. Find the rate of interest.
Answer:
12.5%
SI for 3 years is 240, so SI for 1 year is 80, and SI for 2 years is 160. CI for 2 years is 170. The difference is 170 - 160 = Rs. 10. This is the interest on the first year's interest (Rs. 80). Rate = (10 / 80) × 100 = 12.5%.
4047
A sum of money doubles itself in 4 years at compound interest. It will amount to 8 times itself at the same rate of interest in:
Answer:
12 years
It doubles (2¹ times) in 4 years. To become 8 times (2³ times), it takes 3 × 4 years = 12 years.
4048
The compound interest on Rs. 8000 at 15% per annum for 2 years and 4 months, compounded annually is:
Answer:
Rs. 3109
Amount for 2 years = 8000(1.15)² = 8000 × 1.3225 = 10580. Interest for the remaining 4 months (1/3 year) = (10580 × 15 × 1/3) / 100 = 10580 × 5% = 529. Total Amount = 10580 + 529 = 11109. CI = 11109 - 8000 = Rs. 3109.
4049
A sum of money amounts to Rs. 6655 in 3 years at 10% p.a. compounded annually. Find the sum.
Answer:
Rs. 5000
A = P(1 + R/100)^T. 6655 = P(1.10)³ = P(1.331). P = 6655 / 1.331 = Rs. 5000.
4050
The difference between CI and SI on a sum of money for 2 years at 10% is Rs. 50. The sum is:
Answer:
Rs. 5000
Difference D = P(R/100)². 50 = P(10/100)² = P(1/100). Therefore, P = 50 × 100 = Rs. 5000.