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r^2+2>p*r

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VP
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Joined: 18 May 2008
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r^2+2>p*r [#permalink]

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New post 22 Nov 2008, 05:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

I attempted 2 solve this quetion in this way:
required is :
is r^2+2>p*r

(1) p=r
in any case whether r is negative , positive or 0 if p=r then r^2+2>r^2
hence sufficient
(2) r>0 No information abt P hence Insufficient
Hence ans shld be A. but this is not the OA.
what is wrong in my approach?
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Manager
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Joined: 05 Jul 2008
Posts: 136

Kudos [?]: 123 [0], given: 40

GMAT 2: 740 Q51 V38
Re: GMATPREP: [#permalink]

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New post 22 Nov 2008, 07:18
ritula wrote:
I attempted 2 solve this quetion in this way:
required is :
is r^2+2>p*r

(1) p=r
in any case whether r is negative , positive or 0 if p=r then r^2+2>r^2
hence sufficient
(2) r>0 No information abt P hence Insufficient
Hence ans shld be A. but this is not the OA.
what is wrong in my approach?


r^2+2>r^2 but we must know whether r is negative or positive
p/(p2+2)>1/p if p<0
p/(p2+2)<1/p if p>0

So my answer is C

Kudos [?]: 123 [0], given: 40

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Re: GMATPREP: [#permalink]

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New post 22 Nov 2008, 07:55
\(1/p>r^2/r^2+2\) only if \(p=r<>0\).
if \(p=r=0\), then the inequality doesn't hold.

hence, C.

Kudos [?]: 47 [0], given: 0

Manager
Manager
User avatar
Joined: 05 Jul 2008
Posts: 136

Kudos [?]: 123 [0], given: 40

GMAT 2: 740 Q51 V38
Re: GMATPREP: [#permalink]

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New post 22 Nov 2008, 08:02
prasun84 wrote:
\(1/p>r^2/r^2+2\) only if \(p=r<>0\).
if \(p=r=0\), then the inequality doesn't hold.

hence, C.


I don't understand what p=r<>0 means.
1/p > p/(p2+2) or not depends on whether p is positive or negative.
p can't be 0 is obvious.

Kudos [?]: 123 [0], given: 40

Re: GMATPREP:   [#permalink] 22 Nov 2008, 08:02
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