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# What is the value of R? 1. R^R = R 2.

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Senior Manager
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What is the value of R? 1. R^R = R 2. [#permalink]

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05 Mar 2008, 17:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the value of R?

1. $$R^R = R$$
2. $$(\frac{1}{R})^R = R$$

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Director
Joined: 10 Sep 2007
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Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 17:57
Statement 1:
R^R = R => R^R-1 = 1 => (R-1) log R = 0 => (R-1) = 1 or R = 1

Statement 2:
1 = R^(R+1) => (R+1) log R = 0 => R = -1

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Director
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Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 18:00
Should be 'E'

Stmt1: Possible values of R = 0,1,-1
Insuff

Stmt2: Possible values of R = 1,-1
Insuff

Taking them together: R =1,-1
Still Insuff

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Manager
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Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 18:06
suntaurian wrote:
What is the value of R?

1. $$R^R = R$$
2. $$(\frac{1}{R})^R = R$$

i think R can be -1 or 1.

what is the OA?

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

Senior Manager
Joined: 06 Jul 2006
Posts: 291

Kudos [?]: 75 [0], given: 0

Location: SFO Bay Area
Schools: Berkeley Haas
Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 22:32
OA is E.

R can be both 1 and -1.

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Re: Maths: What is the value of R?   [#permalink] 05 Mar 2008, 22:32
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# What is the value of R? 1. R^R = R 2.

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