Is x y, where x and y are different non zero integers.

Question

Is x > y, where x and y are different non zero integers.

(1) x > 2y
(2) x > -y

rajarshee · Answer

Solution: 1. x>2y works for both the sets of (x,y) -> (3,1) and (-3,-2) Hence insufficient 2. x>-y means either of the following situations: x is +ve, y is +ve and works both for x>y and x|y| (so x>y) x is -ve, y is +ve and |x|<|y| (so x2y then x>y if x is +ve and y is -ve and x>2y then also x>y and x cannot be -ve when y is +ve if x > 2y (condition 2) so sufficient

sumitsinha4u · Answer

E, is the correct answer .
After combining, even you are not sure that you will get x greater than y.

Thanks
Sumit kumar

Bunuel · Answer

Can you please show your work? Thank you.

Notice that the OA is C.

bhaskar438 · Answer

The question stem can be rewritten as  Is x-y>0?

(1) This statement can be rewritten as  x-2y>0.  This doesn't answer the question whether  x-y>0 , so it is insufficient.

(2) This statement can be rewritten as  x+y>0.  This doesn't answer the question whether  x-y>0 , so it is insufficient.

(Combining) Multiply  x+y>0  by 2 to yield -->  2x+2y>0 . Now add  x-2y>0  to  2x+2y>0  to yield  3x>0  -->  x>0 . Add  x-2y>0  to  x>0  to yield  2x-2y>0 .
 Divide both sides of inequality by 2 to yield  x-y>0 . This answers the question directly. Answer choice is  C.

EMPOWERgmatRichC · Answer

Hi All,

This question can be solved with a mix of TESTing VALUES and Number Properties.

We're told that X and Y are both non-0 integers. We're asked if X is greater than Y. This is a YES/NO question.

1) X > 2Y

IF...
X = 3
Y = 1
Then the answer to the question is YES

IF...
X = -1
Y = -1
Then the answer to the question is NO
Fact 1 is INSUFFICIENT

2) X > -Y

IF...
X = 3
Y = 1
Then the answer to the question is YES

IF...
X = -1
Y = 2
Then the answer to the question is NO
Fact 2 is INSUFFICIENT

Combined, we know...
X > 2Y
X > -Y

When dealing with BOTH Facts together, Number Property knowledge can come in really handy...

IF....
Y = NEGATIVE, then (X > -Y) means that X MUST be POSITIVE.
Y = POSITIVE, then (X > 2Y) means that X MUST be POSITIVE.

Therefore, X MUST be POSITIVE. Knowing that....
IF...Y = NEGATIVE, then X will ALWAYS be greater than Y, so the answer to the question is YES.
IF...Y = POSITIVE, then X is greater than 2Y, so X will also be greater than Y, so the answer to the question is also YES.
The answer to the question is ALWAYS YES.
Combined, SUFFICIENT.

Final Answer:  C

GMAT assassins aren't born, they're made,
Rich

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Is x > y, where x and y are different non zero integers.

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Is x > y, where x and y are different non zero integers.

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