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

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

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30 Jul 2008, 19:02
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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
Joined: 23 Sep 2007
Posts: 782

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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

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Director
Joined: 27 May 2008
Posts: 541

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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 [ 12.24 KiB | Viewed 825 times ]

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VP
Joined: 17 Jun 2008
Posts: 1374

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03 Aug 2008, 08:56
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

=>
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<0 means x and y have opp signs => x>y or x<y possible = INSUFF
(2) y^2-x<0 => x is +ve and x > y^2 => x>y or x<y(in case of y<1) => INSUFF

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

hence C
_________________

cheers
Its Now Or Never

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