However, I was thinking of a situation where X and Y are both equal to 4..
If that is the case, then (X+Y) (X-Y) is equal to 0 and is not divisible by 8?
I'm under the assumption that X and Y are different numbers. If they were the same number, they would both be X.
I initially got E, but after looking over the problem again, C makes perfect sense. When you check out statement 1 by itself, it doesn't say a whole lot. But when you combine statement 2, it makes sense.
X+Y = 8
X-Y = 1
X+Y = 16
X-Y = 8
So, you need X and Y to be even integers for the equation to work, that's why Statement 1 is important and that's why the OA is C.