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# If x > y > z, is xz positive? (1) xy is less than 0

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SVP
Joined: 21 Jul 2006
Posts: 1512

Kudos [?]: 1006 [0], given: 1

If x > y > z, is xz positive? (1) xy is less than 0 [#permalink]

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30 Nov 2007, 10:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x > y > z, is xz positive?

(1) xy is less than 0
(2) yz is greater than 0

Kudos [?]: 1006 [0], given: 1

CEO
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4584 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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30 Nov 2007, 10:55
A.

1. xy<0 means that x and y have different sign. due to "x>y" x - positive, y - negative.
y>z ==> z - negative.

x*z=(positive)*(negative)=negative - suff.

2. yz>0 for example, 3>2>1 ==> 3*1>0 but 1>-2>-3 ==> 1*-3<0 - insuff.

Kudos [?]: 4584 [0], given: 360

30 Nov 2007, 10:55
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