For $n > 1$, which is true?

For $n > 1$, which is true?
  1. $n^{3} > n^{2}$
  2. $n^{3} < n^{2}$
  3. $n^{3} = n^{2}$
  4. Depends on $n$

Solution

$n^{3} = n \cdot n^{2}$ and $n > 1$.

Asked in: IMO

Practice more CUBES AND CUBE ROOTS questions on Aicharya