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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?

39 years
10 years
38 years
64 years

Correct Answer: 38 years

Explanation:

Let us assume at present Ram's age is 26 years
Last year his age = 26 – 1 = 25 = (5)²
Next year his age = 26 + 1 = 27 = (3)³
After 27, the next cube number is 64 = (4)³
∴ Required answer = 64 – 26 = 38 years

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