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# If x and y are integers, is x < y? (1) xy > 0 (2)

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Current Student
Joined: 29 Jan 2005
Posts: 5244
Followers: 23

Kudos [?]: 179 [0], given: 0

If x and y are integers, is x < y? (1) xy > 0 (2) [#permalink]  27 Oct 2005, 08:31
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If x and y are integers, is x < y?

(1) xy > 0
(2) 0<x/y<1
Current Student
Joined: 28 Dec 2004
Posts: 3391
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 181 [0], given: 2

hmm lets see...E...

is X>Y?

(1) xy>0

well x=2, y=3 xy>0, y=2, x=3, x=-2, y=-3 xy>0 Insuff

(2)0<x/y<1

well lets see if x=2 y=3 x<y if x=-2, y=-3, x/y=2/3, x>y Insuff

together Insuff
SVP
Joined: 24 Sep 2005
Posts: 1893
Followers: 11

Kudos [?]: 139 [0], given: 0

Re: DS Number Properties [#permalink]  27 Oct 2005, 08:35
GMATT73 wrote:
If x and y are integers, is x < y?

(1) xy > 0
(2) 0<x/y<1

(1) say nothing, insuff
(2) it's correct if both x and y are positive
but not for negative x and y
Ex: 0<-1/-2<1 , but -1>-2
---> insuff

1 and 2
can't assure whether both x and y are negative or positive.
insuff
Senior Manager
Joined: 26 Jul 2005
Posts: 315
Location: Los Angeles
Followers: 1

Kudos [?]: 6 [0], given: 0

(1) is asking whether xy is positive. For xy, (--) and (++) can work so we need more information - insufficient.

(2) as mentioned by others, (++) and (--) can work but we need more information too - insufficient.

TOGETHER: Still insufficent because (--) and (++) can both work - E.

If the question told us that both x & y were <b>positive integers</b>, then I'd go with D.
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