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Sanam’s age is the cube of a whole number. It was square of another whole number two years ago. How long he must wait before his age is aga…

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Sanam’s age is the cube of a whole number. It was square of another whole number two years ago. How long he must wait before his age is again the cube of a whole number?
  • A 2 years
  • B10 years
  • C37 years
  • D39 years
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Sanam’s age is the cube of a whole number:

3 × 3 × 3 = 27

It was square of another whole number two years ago.

Two years ago his age = 25 = 5 × 5

Next perfect cube is 64 = 4 × 4 × 4

So he must wait for 64 - 27 = 37 years.

Hence, he must wait for 37 years