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# If r > 0, is rs < 0 ? (1) s < 0 (2) s < r

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Math Expert
Joined: 02 Sep 2009
Posts: 45368
If r > 0, is rs < 0 ? (1) s < 0 (2) s < r [#permalink]

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07 Nov 2017, 23:46
00:00

Difficulty:

25% (medium)

Question Stats:

89% (00:19) correct 11% (00:36) wrong based on 35 sessions

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If r > 0, is rs < 0 ?

(1) s < 0

(2) s < r

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Intern
Joined: 28 Dec 2010
Posts: 49
Re: If r > 0, is rs < 0 ? (1) s < 0 (2) s < r [#permalink]

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07 Nov 2017, 23:55
r<0
So rs<0 can be answered if s>0 or s<0.

1. Sufficient.
2. s could be <0 or >0.
Not Sufficient.

A.
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SVP
Joined: 26 Mar 2013
Posts: 1641
Re: If r > 0, is rs < 0 ? (1) s < 0 (2) s < r [#permalink]

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08 Nov 2017, 05:21
Bunuel wrote:
If r > 0, is rs < 0 ?

(1) s < 0

(2) s < r

$$r > 0$$, then question might be rephrased to be, is $$s < 0$$ ?

1) s < 0

The facts tells us a fact

Sufficient

(2) s < r

Let r =2 & s = 1......Answer is No

Let r =2 & s =-1......Answer is Yes

Insufficient

Re: If r > 0, is rs < 0 ? (1) s < 0 (2) s < r   [#permalink] 08 Nov 2017, 05:21
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