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Tarun's age is the cube of a whole numbe...

Tarun's age is the cube of a whole number. It was square of another whole number 2 yr ago. How long he must before his age is again the cube of a whole number?

A

a. 2 yr

B

b. 10 yr

C

c. 37 yr

D

d. 39 yr

Text Solution

Verified by Experts

The correct Answer is:
C
Let present age of Tarun = `27 yr`
`therefore` Age of Tarun, 2 yr back = `27 -2 = 25 yr `
So, the cube of 4, next number to 3 is 64.
`therefore` Required answer = `64 - 27 = 37 yr `
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