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# Is xy<6 (1) x<3 and y<2. (2) 1/2 <x< 2/3 and

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Is xy<6 (1) x<3 and y<2. (2) 1/2 <x< 2/3 and [#permalink]  20 May 2008, 22:35
Is xy<6
(1) x<3 and y<2.
(2) 1/2 <x< 2/3 and y*y<64
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Joined: 04 May 2007
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Re: data sufficiency [#permalink]  20 May 2008, 23:39
IMO B

Plugging in the values -

1) x< 3 can be -8 y < 2 can be -8 ...so xy = 64 ...not suff

2) 1/2<x < 2/3 and y = 8 or -8

taking max x = 2/3 xy can be -16/3 or 16/3 ...both are less then 6
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Re: data sufficiency [#permalink]  20 May 2008, 23:40
ritula wrote:
Is xy<6
(1) x<3 and y<2.
(2) 1/2 <x< 2/3 and y*y<64

B
1.
1.1 x=-10, y =-10, xy=1000>6
1.2 x= 1/2, y = 1/2 , xy=1/4 <6, insuff.

2. maximum x = 2/3, and maximum y =8, so max xy=16/3 <6. suff
_________________
Re: data sufficiency   [#permalink] 20 May 2008, 23:40
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