Since 16 is divisible by 4, we only need to know if 10x is divisible by 4.
Statement (1) 10 raised to the power of any integer 2 or greater (and 2 is the smallest prime) is a multiple of 100 and thus divisible by 4. Statement (1) alone is sufficient.
The correct answer must be either A or D.
Statement (2) x could be an integer greater than 2, which would make 10x divisible by 4, but if x = 1, 101 is not divisible by 4. Statement (2) is therefore insufficient.
The correct answer is A.