abhi332 wrote:If x>1, what is the value of x

1) There are x unique factors of x.
2) The sum of x and any prime number larger than x is odd.

I'm sure Statement 1 means to say "There are x distinct positive factors of x." I think it's easiest to see what this means by trying a number for x. If x were, say, 25, then this would say "25 has 25 distinct positive factors". That's clearly absurd; that would mean that 25 was divisible by every single number between 1 and 25. Indeed, x can never be divisible by *every* number between 1 and x if x is greater than 2, since if x > 2, x is never divisible by x-1. So if Statement 1 is true, x can only be 1 or 2, and since we know x > 1, x must be equal to 2.

Statement 2 is not sufficient; since x > 2, then any prime larger than x is odd. So Statement 2 only tells us that x is even.

The answer is A.