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Is x greater than y ? (1) xy<0 (2) y^2-x<0 A.

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Joined: 11 May 2008
Posts: 551
Is x greater than y ? (1) xy<0 (2) y^2-x<0 A.  [#permalink]

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New post 30 Jul 2008, 19:02
00:00
A
B
C
D
E

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Is x greater than y ?
(1) xy<0
(2) y^2-x<0
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

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Director
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Joined: 23 Sep 2007
Posts: 760
Re: inequality DS  [#permalink]

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New post 30 Jul 2008, 19:12
arjtryarjtry wrote:
Is x greater than y ?
(1) xy<0
(2) y^2-x<0
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


C

statement 1: is obviously insuff
statement 2 is insuff because x can be .82, and y can be .9 or .7 and still satisfy the equation, AND x must be positive because y^2 is positive.

together suff
Director
Director
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Joined: 27 May 2008
Posts: 530
Re: inequality DS  [#permalink]

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New post 30 Jul 2008, 23:58
graphical method

target area x>y, right side of line x=y.. blue line

statement 1 : green area ... not suff
statement 2 : yellow area --- not suff

combined : overlap area -- suff.. option C

Attachment:
xy.PNG
xy.PNG [ 12.24 KiB | Viewed 966 times ]
VP
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Joined: 17 Jun 2008
Posts: 1279
Re: inequality DS  [#permalink]

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New post 03 Aug 2008, 08:56
arjtryarjtry wrote:
Is x greater than y ?
(1) xy
durgesh79 wrote:
graphical method

target area x>y, right side of line x=y.. blue line

statement 1 : green area ... not suff
statement 2 : yellow area --- not suff

combined : overlap area -- suff.. option C

Attachment:
xy.PNG


(1) does not answer since xy x>y or x x is +ve and x > y^2 => x>y or x INSUFF

Now combine (1) and (2) =>x ,y have opp signs and x>0 => y=-ve
always x>y

hence C

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Its Now Or Never

Re: inequality DS &nbs [#permalink] 03 Aug 2008, 08:56
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