What is the value of integer J? 1. |J| = J^{-1} 2. J^J = 1 : DS Archive
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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
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Kudos [?]: 4 [0], given: 1

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

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17 Jul 2009, 08:31
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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?

Manager
Joined: 07 Apr 2009
Posts: 145
Followers: 1

Kudos [?]: 12 [0], given: 3

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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
Intern
Joined: 24 Jun 2009
Posts: 42
Followers: 0

Kudos [?]: 4 [0], given: 1

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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
Joined: 21 Jul 2009
Posts: 265
Location: New York, NY
Followers: 3

Kudos [?]: 108 [0], given: 23

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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.
Senior Manager
Joined: 17 Jul 2009
Posts: 299
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)
Followers: 1

Kudos [?]: 41 [0], given: 9

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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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