GMAT Prep CAT Question

[kyle.steiner123]

Is X>0 and Y>0 ?

(1) 2X - 2Y = 1

(2) X/Y > 1

I know that statement 2 tells u that X and Y have the same sign and statement 1 can be simplified to X - Y = 1/2...but it seems like both cases (both positive and both neg) will satify both statments making the answer E.

ex. X = -2 and Y = -5/2 will satisfy both statements
ex. X = 2 and Y = 3/2 will satisfy both statements
making the original statements unable to determine.

The software says the answer is C but I can't see how. Please let me know what I am doing wrong here.

Thanks,
Kyle

[RonPurewal]

X = -2 and Y = -5/2 will satisfy both statements

No.
-5/2 is -2.5.
-2/-2.5 is not greater than 1.

Try a few more pairs of negatives, and you'll notice the pattern quickly -- it'll be clear why they don't work in both statements.

[RonPurewal]

By the way, please search the forum. Do not create new threads for problems that are already on the forum.

If you have any more questions, please post them here:
are-x-and-y-both-positive-1-2x-2y-1-2-x-y-1-t797.html