vk_vinayak wrote:
Since it is given that x is an integer, we can discard E, which says x is some sort of fraction.
You can write integers as fractions if you like. The integer 2 can be written as the "irreducible fraction" 2/1, for example, or as the reducible fraction 6/3.
And that's why answer choice E here doesn't make any mathematical sense, since no matter what x is, it can be written as a fraction, and it can be written as a non-fraction (as a decimal, say). So while it certainly must be true in this question that x is even, and D must be true, it really isn't possible to say one way or the other about E, because it's not at all clear what answer choice E is even supposed to mean. I'm not sure where this question is from, but it's certainly not a real GMAT question.