What is the value of R? 1. R^R = R 2. : Quant Question Archive [LOCKED]
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# What is the value of R? 1. R^R = R 2.

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

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05 Mar 2008, 16:46
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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Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 16:57
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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Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 17:00
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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Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 17:06
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?
Senior Manager
Joined: 06 Jul 2006
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Location: SFO Bay Area
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Re: Maths: What is the value of R? [#permalink]

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05 Mar 2008, 21:32
OA is E.

R can be both 1 and -1.
Re: Maths: What is the value of R?   [#permalink] 05 Mar 2008, 21:32
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