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# Is xy > 0 ?

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Intern
Joined: 12 Dec 2018
Posts: 10
Is xy > 0 ?  [#permalink]

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30 Dec 2018, 22:35
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Difficulty:

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Question Stats:

50% (00:26) correct 50% (01:41) wrong based on 4 sessions

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Is xy > 0 ?

(1) x – y > –2
(2) x – 2y < –6

A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.
-----------------

My thought process

(1) says x > y - 2
For any value of y, x may or may not be +ve or -ve. Therefore, keeping xy in mind, A can't stand on its own, and reject A or D.
(2) says x < 2(y-3)
For any value of y, x may or may not be +ve or -ve. Therefore, keeping xy in mind, B can't stand on its own, and reject B.

Taking (1) and (2) together,
2(y-3) < x < (y-2)
If I start plugging in values for y = [1, 3], x = [-2, 0.5] and therefore keeping xy in mind, even taking (1) and (2) together allow for xy to be either +ve or -ve. So I chose (E) as the answer.

And I was wrong.........please shed some light. I searched for the question within the DS subforum and did go through the forum tips but ALAS, couldn't find the question. My apologies if its a repeat !
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1013
WE: Supply Chain Management (Energy and Utilities)
Re: Is xy > 0 ?  [#permalink]

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30 Dec 2018, 23:05
1
This question is already discussed here.

https://gmatclub.com/forum/is-xy-0-1-x- ... 14731.html
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PKN

Rise above the storm, you will find the sunshine
Math Expert
Joined: 02 Sep 2009
Posts: 58434
Re: Is xy > 0 ?  [#permalink]

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31 Dec 2018, 01:31
Gekkdude wrote:
Is xy > 0 ?

(1) x – y > –2
(2) x – 2y < –6

A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.
-----------------

My thought process

(1) says x > y - 2
For any value of y, x may or may not be +ve or -ve. Therefore, keeping xy in mind, A can't stand on its own, and reject A or D.
(2) says x < 2(y-3)
For any value of y, x may or may not be +ve or -ve. Therefore, keeping xy in mind, B can't stand on its own, and reject B.

Taking (1) and (2) together,
2(y-3) < x < (y-2)
If I start plugging in values for y = [1, 3], x = [-2, 0.5] and therefore keeping xy in mind, even taking (1) and (2) together allow for xy to be either +ve or -ve. So I chose (E) as the answer.

And I was wrong.........please shed some light. I searched for the question within the DS subforum and did go through the forum tips but ALAS, couldn't find the question. My apologies if its a repeat !

Discussed here: https://gmatclub.com/forum/is-xy-0-1-x- ... 14731.html
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Re: Is xy > 0 ?   [#permalink] 31 Dec 2018, 01:31
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