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If xy < 5, is x < 1 ? (1) | y | > 5 (2) x / y > 0

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If xy < 5, is x < 1 ? (1) | y | > 5 (2) x / y > 0  [#permalink]

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New post 07 Feb 2012, 16:36
3
7
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

52% (02:16) correct 48% (02:14) wrong based on 192 sessions

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If xy < 5, is x < 1 ?

(1) |y| > 5
(2) x/y > 0
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Joined: 02 Sep 2009
Posts: 58427
Re: is x < 1 ?  [#permalink]

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New post 07 Feb 2012, 16:49
If xy < 5, is x < 1 ?

(1) |y| > 5 --> if y=10 and x=0 then the answer is YES but if y=-10 and x=2 then the answer is NO. Not sufficient.

(2) x/y > 0 --> x and y have the same sign. Still insufficient: if y=-2 and x=-1 then the answer is YES but if y=2 and x=2 then the answer is NO.

(1)+(2) From (2) x and y have the same sign. Now, if from (1) y>5 then 0<x<1 (in order xy<5 to hold true) and if from (1) y<-5 then -1<x<0 (again in order xy<5 to hold true). So in both cases x<1. Sufficient.

Answer: C.
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Re: If xy < 5, is x < 1 ? (1) | y | > 5 (2) x / y > 0  [#permalink]

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New post 06 Aug 2018, 21:38
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If xy < 5, is x < 1 ? (1) | y | > 5 (2) x / y > 0   [#permalink] 06 Aug 2018, 21:38
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