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Benahavis,
In addition to tali62's explanation, you can also use examples (trial and error) to prove that statement (1) is insufficient.
For example,
If n = 2, then n^2 = 4.
If n = 1.414...., then n^2 = 2.
Therefore, n could be either an integer or a non-integer, which makes statement (1) alone insufficient.
Seeing as you initially thought D was the answer, you already know statement (2) is sufficient.
Hope this helps.
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