Anurag@Gurome
we can easily conclude that both the options together is not sufficient as none of them tells us any value of x or y.
No, you cannot draw that conclusion reliably on a real GMAT question. First, the question does, in fact, mention a value, namely zero. It's also quite easy to reword the question so that the information is in fact sufficient, even without mentioning any value of x or y:
If y is positive, what is the value of x?
(1) The distance between x and y on the number line is equal to the distance between y and zero
(2) On the number line, x is to the left of y
There's no mention of any values here besides zero, but the answer is C; using both statements, x must be zero. I'd find this version of the question more interesting (and more GMAT-like) than the version in the original post, since many people will simply pick E rather quickly and move on. Real GMAT DS questions are very often designed to trap the test taker who uses overly simplistic criteria to pick an answer; if you reason that "the question doesn't mention any values so the answer must be E", you'll be picking the wrong answer a lot of the time.