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Ram's age was square of a number last ye...

Ram's age was square of a number last year and it will be cube of a number next year. How long must he wait before his age is again the cube of a number?

A

10 years

B

39 years

C

38 years

D

64 years

Text Solution

Verified by Experts

The correct Answer is:
C
According to the question (cube of a number) - (Square of another number) = 2. (Given)
By Hit and Trial Method:
`3^3 – 5^2 = 2`
or, `27 – 25 = 2 " " [because " It satisfies the condition"]`
So, the present age of Ram = 26 years.
[`because` Present age lies between 27 and 25]
The age in which he is again a cube of number = `4^3 = 64`.
[`because` age lies between 3 and 5]
Therefore, required number of years he must wait = 64 - 26 = 38 years.
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