A sum of money placed at compound interest becomes double of itself in 2 years. In how many years will it become 16 times of itself? MCQ with Answer and Explanation

A sum of money placed at compound interest becomes double of itself in 2 years. In how many years will it become 16 times of itself?
A. 6 years
B. 10 years
C. 12 years
D. 8 years
Answer: Option D
Solution (By JKSSB Mock Tests)
The sum becomes 2^1 times in 2 years. It will become 16 (2^4) times in 4 * 2 = 8 years.

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Practice More Compound Interest Questions

Question #1
Find the compound interest on Rs. 5000 at 12% per annum for 1 year, compounded half-yearly.
A. Rs. 600
B. Rs. 624
C. Rs. 636
D. Rs. 618

Correct Answer: Option D


Explanation:
For half-yearly compounding, New Rate = 12/2 = 6% per half-year, and Time = 2 half-years. Amount = 5000 * (1 + 6/100)^2 = 5000 * 1.1236 = Rs. 5618. Compound Interest = 5618 - 5000 = Rs. 618.

This question belongs to: Maths Compound Interest
Question #2
At what rate of compound interest will Rs. 625 amount to Rs. 676 in 2 years?
A. 5%
B. 6%
C. 3%
D. 4%

Correct Answer: Option D


Explanation:
625(1 + r)² = 676 ⇒ (1+r)² = 1.0816 = (1.04)² ⇒ r = 4%.

This question belongs to: Maths Compound Interest
Question #3
At what rate percent compound interest will Rs. 800 amount to Rs. 968 in 2 years?
A. 8%
B. 12%
C. 15%
D. 10%

Correct Answer: Option D


Explanation:
800(1+r)² = 968 ⇒ (1+r)² = 1.21 ⇒ r = 10%.

This question belongs to: Maths Compound Interest