Explanation
Statement (1)
This is insufficient. For example, x could be 1 or 3.
The correct answer would be among B/C/E.
Statement (2)
If x is an integer, the only values of x for which 49/x is also an integer are the factors of 49: 1, 7, and 49. None of these values is between 10 and 20, so this statement is sufficient.
The correct answer is B.