A sum of money at compound interest becomes 8 times in 3 years. In how many years will it become 512 times? MCQ with Answer and Explanation

A sum of money at compound interest becomes 8 times in 3 years. In how many years will it become 512 times?
A. 9 years
B. 12 years
C. 6 years
D. 7 years
Answer: Option A
Solution (By JKExamLibrary)
512 = 8³, so 3 × 3 = 9 years.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum of money at compound interest becomes 2 times in 3 years. In how many years will it become 32 times?
A. 18 years
B. 21 years
C. 12 years
D. 15 years

Correct Answer: Option D


Explanation:
32 = 2⁵, so 3 × 5 = 15 years.

This question belongs to: Maths Compound Interest
Question #2 Report Error
A sum of money placed at compound interest doubles itself in 5 years. In how many years will it amount to eight times itself?
A. 20 years
B. 25 years
C. 10 years
D. 15 years

Correct Answer: Option D


Explanation:
A sum becomes 2 times in 5 years. It will become 4 (2^2) times in 2 * 5 = 10 years. It will become 8 (2^3) times in 3 * 5 = 15 years.

This question belongs to: Maths Compound Interest
Question #3 Report Error
A sum of money at compound interest becomes 4 times in 2 years. In how many years will it become 16 times?
A. 6 years
B. 5 years
C. 3 years
D. 4 years

Correct Answer: Option D


Explanation:
4 times in 2 years; 16 = 4², so time = 2 × 2 = 4 years.

This question belongs to: Maths Compound Interest