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

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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
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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
Director
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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
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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 740 times ]
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Re: inequality DS [#permalink]

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New post 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
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Re: inequality DS   [#permalink] 03 Aug 2008, 08:56
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Is x greater than y ? (1) xy<0 (2) y^2-x<0 A.

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