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An amount becomes four times itself in 6 years at a certain rate of interest. In…

Paper 1 · Mathematical Reasoning and Aptitude
An amount becomes four times itself in 6 years at a certain rate of interest. In how much time will it become 64 times, the rate remaining unchanged?
A8 years
B16 years
C18 years ✓ Correct
D24 years
Correct answer: (C) 18 years — It will become 64 times in 18 years, so that is the answer.
Explanation
It will become 64 times in 18 years, so that is the answer.
The amount becomes four times in 6 years.
64 times is the same as four times, taken three times over, since 4 cubed is 64.
Each step of becoming four times takes 6 years.
So three such steps take 6 times 3 years.
This gives 18 years.

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