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

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Intern
Joined: 24 Jun 2009
Posts: 35
What is the value of integer J? 1. |J| = J^{-1} 2. J^J = 1  [#permalink]

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17 Jul 2009, 09:31
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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?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Manager
Joined: 07 Apr 2009
Posts: 143

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17 Jul 2009, 09:52
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
Intern
Joined: 24 Jun 2009
Posts: 35

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17 Jul 2009, 09:58
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?
Manager
Joined: 21 Jul 2009
Posts: 226
Location: New York, NY

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27 Jul 2009, 13:41
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.
Senior Manager
Joined: 17 Jul 2009
Posts: 259
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)

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27 Jul 2009, 16:57
A, |J| = J^(-1) meaning J must be positive, so J = 1/J, J^2 = 1, J = 1

B. example of 0^0 = 1...

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: M04 Q11 &nbs [#permalink] 27 Jul 2009, 16:57
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