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Is xy > 2 ? (1) x > 1 and y > 3 (2) x^2 > 4 and y^2 > 4

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Joined: 02 Sep 2009
Posts: 46332
Is xy > 2 ? (1) x > 1 and y > 3 (2) x^2 > 4 and y^2 > 4 [#permalink]

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New post 30 Jan 2017, 10:48
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (00:38) correct 24% (00:54) wrong based on 29 sessions

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Joined: 26 Mar 2013
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Re: Is xy > 2 ? (1) x > 1 and y > 3 (2) x^2 > 4 and y^2 > 4 [#permalink]

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New post 10 Feb 2017, 21:46
Is xy > 2 ?

(1) x > 1 and y > 3

Take min. value for x =1
Take min. value for y= 3

xy=3 >2............Answer is always YES

Sufficient

(2) x^2 > 4 and y^2 > 4

x> 2 or x<-2

y> 2 or y<-2

xy could be -4 <2........Answer is No

xy could be 4 > 2........Answer is Yes

Insufficient

Answer: A
Re: Is xy > 2 ? (1) x > 1 and y > 3 (2) x^2 > 4 and y^2 > 4   [#permalink] 10 Feb 2017, 21:46
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Is xy > 2 ? (1) x > 1 and y > 3 (2) x^2 > 4 and y^2 > 4

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