Is xy < 6? (1) x < 3 and y < 2 (2) 1/2 < x < 2/3 and : DS Archive
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# Is xy < 6? (1) x < 3 and y < 2 (2) 1/2 < x < 2/3 and

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Manager
Joined: 17 May 2007
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Is xy < 6? (1) x < 3 and y < 2 (2) 1/2 < x < 2/3 and [#permalink]

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08 Sep 2007, 14:22
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here is another question from a reitred GMAT paper

Is xy < 6?

(1) x < 3 and y < 2
(2) 1/2 < x < 2/3 and y(squared) < 6

VP
Joined: 10 Jun 2007
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Re: DS: Is xy < 6? [#permalink]

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08 Sep 2007, 14:31
gowani wrote:
here is another question from a reitred GMAT paper

Is xy < 6?

(1) x < 3 and y < 2
(2) 1/2 < x < 2/3 and y(squared) < 6

I got B

(1) if x=-1, y=-10, then xy = 10, which is more than 6
if x=1, y=1, then xy=1, which is greater than 6
INSUFFICIENT

(2) 1/2<x<2/3
y^2 < 6 is the same as |y| < sqrt(6) which is the same as
|y| < 1.4 * 1.7
-2.38 < y < 2.38

You know that the greatest value of xy in the case is y=2.38 and x = 2/3
xy < 2.38*(2/3)
xy <~ 1.59
SUFFICIENT
Re: DS: Is xy < 6?   [#permalink] 08 Sep 2007, 14:31
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