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# If r>0, is rs<0 ?

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Intern
Joined: 08 Sep 2018
Posts: 1
If r>0, is rs<0 ?  [#permalink]

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08 Sep 2018, 04:47
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Question Stats:

100% (00:13) correct 0% (00:00) wrong based on 15 sessions

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1) s<0
2) s<r
Manager
Status: On the journey of achieving
Affiliations: Senior Manager, CA by profession, CFA(USA) Level 2
Joined: 06 Feb 2016
Posts: 215
Location: India
Concentration: Finance, Finance
GMAT 1: 560 Q44 V21
GPA: 3.82
WE: Other (Commercial Banking)
Re: If r>0, is rs<0 ?  [#permalink]

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08 Sep 2018, 05:17
2
tarynsteenkamp wrote:
1) s<0
2) s<r

Option A

Statement 1 s<0
Let us assume r as 2( Since r is greater than 0) , s shall be any negative number as s<0
Hence r*s shall always be less than 0 which is suffice
A alone is suffice

Now let us look at Statement 2 s<r
r will always be positive as given in the statement that it is >0 , so let us assume r as 1 now s is less than r so s can be 0 or any negative number
If s is 0 then rs cannot be less than 0
Now if s is any negative number then rs shall be less than 0
Hence B alone is not suffice

Kindly give kudos if my explanation helped
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Intern
Joined: 25 Oct 2017
Posts: 1
Re: If r>0, is rs<0 ?  [#permalink]

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08 Sep 2018, 05:20

IFr>0 then non zero or negative number then rs can be <0 only if s is negative.

1. s<0
Clearly it gives one answer that rs is negative.
2. s<r
from question we know r is +ve and so s can be either +ve or -ve number, option 2 is insufficient to answer the question.
Math Expert
Joined: 02 Sep 2009
Posts: 56244
Re: If r>0, is rs<0 ?  [#permalink]

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09 Sep 2018, 01:50
tarynsteenkamp wrote:
1) s<0
2) s<r

Discussed here: https://gmatclub.com/forum/if-r-0-is-rs ... 53109.html

Topic is locked and archived.
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Re: If r>0, is rs<0 ?   [#permalink] 09 Sep 2018, 01:50
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