Is x an integer?

✓ Correct Answer: Option A

If x+1 is an integer, say k, then x = k-1. Since k is an integer, k-1 must also be an integer. Thus, statement (1) alone is sufficient. Statement (2) is not sufficient because x could be an integer (e.g., x^2=4, x=2) or not an integer (e.g., x^2=2, x=√2).