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What is the value of integer J? 1. |J| = J^{-1} 2. J^J = 1

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Intern
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What is the value of integer J? 1. |J| = J^{-1} 2. J^J = 1 [#permalink] New post 17 Jul 2009, 08:31
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A
B
C
D
E

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(N/A)

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0% (00:00) correct 0% (00:00) wrong based on 3 sessions
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What is the value of integer J?

1. |J| = J^{-1}
2. J^J = 1

Isn't 0^0 is 1?

Please explain?
Manager
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Re: M04 Q11 [#permalink] New post 17 Jul 2009, 08:52
Hi, IMO the answer is 'A'

first lets take the second statement

\(J^J = 1\)

J could be 0 or 1. \(1^1 = 1\) , \(0^0=1\)

so INSUFF

first statement says |J| = 1/J

the only value that i can see this holds good is 1, so SUFF

ans : A
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Re: M04 Q11 [#permalink] New post 17 Jul 2009, 08:58
its is a part of gmatclub test and i chose A. however, explanation shows that 0^0 is un-defined therefore J=1 by S2 and the showed OA as D. Can someone please clarify what value does GMAC consider 0^0?
Senior Manager
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Re: M04 Q11 [#permalink] New post 27 Jul 2009, 12:41
There is a debate what 0^0 should be.
http://mathforum.org/dr.math/faq/faq.0.to.0.power.html
Let's not go there, since the GMAT will never test a gray area in mathematics.
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Re: M04 Q11 [#permalink] New post 27 Jul 2009, 15:57
A, |J| = J^(-1) meaning J must be positive, so J = 1/J, J^2 = 1, J = 1

B. example of 0^0 = 1...
Re: M04 Q11   [#permalink] 27 Jul 2009, 15:57
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What is the value of integer J? 1. |J| = J^{-1} 2. J^J = 1

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