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# X^2 * Y > 0 ?

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Manager
Joined: 16 Oct 2006
Posts: 161

Kudos [?]: 331 [0], given: 0

X^2 * Y > 0 ? [#permalink]

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25 Oct 2006, 12:19
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DS. X^2 * Y > 0 ?

(1) X^5 * Y <0
(2) X * Y > 0

Kudos [?]: 331 [0], given: 0

SVP
Joined: 01 May 2006
Posts: 1794

Kudos [?]: 167 [0], given: 0

Re: Setting Question - DS [#permalink]

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25 Oct 2006, 12:30
KC wrote:
DS. X^2 * Y > 0 ?
(1) X^5 * Y <0
(2) X * Y > 0

The question seems a bit strange Cannot solve Typo?

X^2 * Y > 0 ? => Y > 0 ? (or X=0 or Y=0)

Stat 1
X^5 * Y <0
implies:
o X<0 and Y>0 => X^2 * Y > 0
or
o X>0 and Y<0 => X^2 * Y < 0

INSUFF

Stat 2
X * Y > 0
implies:
o X<0 and Y>0 => X^2 * Y > 0
or
o X>0 and Y<0 => X^2 * Y < 0

Both (1) and (2) is impossible

Kudos [?]: 167 [0], given: 0

Manager
Joined: 31 Aug 2006
Posts: 210

Kudos [?]: 2 [0], given: 0

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25 Oct 2006, 12:45
Is X^2 * Y > 0 ?

This is true if x and y are non zero and x,y are both +ve or x is -ve and y +ve

Stat(1) - INSUFF
Implies x,y are non zero and either x or y is -ve but not both
If x is -ve and y is +ve then X^2 * Y > 0
If y is -ve and x is +ve then X^2 * Y < 0

Stat(2) - INSUFF
Implies x,y are non zero and either x,y both are -ve or x,y both are +ve
If both are +ve then X^2 * Y > 0
If both are -ve then X^2 * Y < 0

Stat(1) and Stat(2) both cannot be true at the same time.Hence there seems to be something wrong with the question or take it as (E)

Kudos [?]: 2 [0], given: 0

Senior Manager
Joined: 13 Sep 2006
Posts: 279

Kudos [?]: 22 [0], given: 0

Location: New York

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25 Oct 2006, 13:46
I am getting E as well.

Statement 1:

X^5 *Y <0
Case 1: x=(-) and y=(+)
Case 2: x=(+) and y= (-)

Not sufficient

Statement 2:
X * Y>0
Case 1: x=(-) and y=(-)
Case 2: x=(+) and y= (+)

Not sufficient.

Combined - Not Sufficient.
_________________

"Never let the fear of striking out get in your wayâ€

Kudos [?]: 22 [0], given: 0

25 Oct 2006, 13:46
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