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# What is the value of integer J? 1) |J| = J^(-1) 2) J^J = 1

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Senior Manager
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What is the value of integer J? 1) |J| = J^(-1) 2) J^J = 1 [#permalink]  13 Aug 2007, 13:58
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What is the value of integer J?

1) |J| = J^(-1)
2) J^J = 1

Intern
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I believe the answer is A

1) |J| = J^(-1)

J Results Suff?
0 X -
1 1 Yes
-1 1=-1 -
2 2=1/2 -

Only one Yes, therefore sufficient.

2) J^J = 1

J Results Suff?
0 0^0 = 1 Yes
1 1^1 = 1 Yes

Two Yes's, thefore not sufficient.
Director
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I'm getting A here.

|J| = 1/J

1 is the only number that works.
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Re: DS - value of integer J [#permalink]  13 Aug 2007, 15:18
leeye84 wrote:
What is the value of integer J?

1) |J| = J^(-1)
2) J^J = 1

I think the answer is E

St1:

|J| = J^(-1)
= 1/J

=> J = 1/J OR J = - 1/J

Hence Insuff. Since we have 2 values of J

St2:
J^J = 1

=> J = 1 or J = -1

Again 2 values J. Hence in-suff.

Combinining both stments, we are not getting different option.. we just know that
J^J = 1
=> J = 1 or J = -1

Henec in-suff.

Again
Current Student
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its a mathematical controversy...i dont know what gmat rules are about 0^0...
Manager
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Re: DS - value of integer J [#permalink]  13 Aug 2007, 15:51
leeye84 wrote:
What is the value of integer J?

1) |J| = J^(-1)
2) J^J = 1

I get B or E
Stmt 1 - J could = 1 or -1, since it is lJl that =J^(-1)

Stmt 2 - J couldn't = -1, since -1^-1=1/-1=-1
don't know about 0^0 - if that =1, then the answer I get is E. If not, it's B
Manager
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I also believe in D or A, I don't see how you can get B.
Stmt 1 is sufficient.
if |J| = J^(-1), then J has to be 1 otherwise the condition will not hold true.;
for example if J = -1 => |J| = 1 which is NOT equal to 1/(-1)= -1; so J has to be 1.
Stmt 2: I dont know how GMAT treats 0^0, in a bind I would deem this stmt INSUFFICIENT and choose A as the final answer
Manager
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I could be wrong here, and please correct me if I am, but isn't J^-1=J/1, not J/-1? If so, then 1^-1=1/1=1.
Senior Manager
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The OA is D.

It seems that everyone agrees that 1) is sufficient.

According to the explaination, 0^0 is a non-existent value.

I'm uncomfortable with this question. I checked on google the value for 0^0, and it is equal to 1. Now in this case it's equal to 0. What should we do on the real test?
Manager
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I will go with A. I agree with eschn3am that 1 is the only number which satisfies the condition in 1st option i.e. |J|=1/J. Pl. post the OA.
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Subhen

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0^0 is 1 for mathematicans..but for physicists..0^0 doesnt exist...
Director
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I really doubt if this OA as D is correct.. !

How can it be correct.

Also, just open your windows calculator in scientific mode and it displays 0^0 as 1.

Keeping this in mind, J^J = 1 has 2 options. Either J = 0 or 1. Then how come B is suff ??

Also, for A, |J| = J^(-1)
Again J has 2 values +ve and -ve..

What is the source of this question ?
Senior Manager
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The question comes from the GMAT Club Challenges (Haha).
Director
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leeye84 wrote:
The question comes from the GMAT Club Challenges (Haha).

Do you mean to say challenges problem can't have any flaw ..??
Btw, wht's the OE given there ??
Senior Manager
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For purposes of GMAT 0^0 is undefined. There has been lots of discussions about this in the past. Just do a quick search to find them.
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sumande wrote:
For purposes of GMAT 0^0 is undefined. There has been lots of discussions about this in the past. Just do a quick search to find them.

Thanks..
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Amit05 wrote:
sumande wrote:
For purposes of GMAT 0^0 is undefined. There has been lots of discussions about this in the past. Just do a quick search to find them.

Thanks..

Yes.... For the GDAY, we must consider 0^0 as undefinied .... If I recall well, It is stated in the kaplan supplementay math formulas but not in the OG 11?

Take a look at this : http://www.gmatclub.com/phpbb/viewtopic.php?t=35079
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