Data Sufficiency

mukgera wrote:How to approach this problem ?

Consider the following two cases,

1. x = 2 and y = -1 --> (x - y)/(x + y) = 3/1 = 3 > 1
2. x = 2 and y = -3 --> (x - y)/(x + y) = 5/(-1) = -5 < 1

Both of the above cases satisfy both the statements but in one case the answer is to the main question is YES in other case it is NO. Hence, both statements together is not sufficient to answer the question.

The correct answer is E.

Note: The problem can be solved algebraically too, but in that case the solution will be a bit more time consuming.