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# what is the value of integer J 1: | J | = J ^ -1 2: J^J = 1

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Director
Joined: 05 Jan 2005
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what is the value of integer J 1: | J | = J ^ -1 2: J^J = 1 [#permalink]  25 Aug 2005, 23:55
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what is the value of integer J

1: | J | = J ^ -1
2: J^J = 1
SVP
Joined: 05 Apr 2005
Posts: 1737
Followers: 3

Kudos [?]: 28 [0], given: 0

Re: DS: Value of J [#permalink]  26 Aug 2005, 05:45
from i, | J | = J^(-1)
j=1/j
j^2=1, so j must be 1.

fro ii, J^J = 1. the only integer whose power is itself is equal to 1 is 1. so D.
Senior Manager
Joined: 29 Nov 2004
Posts: 486
Location: Chicago
Followers: 1

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

Re: DS: Value of J [#permalink]  26 Aug 2005, 07:37
HIMALAYA wrote:
from i, | J | = J^(-1)
j=1/j
j^2=1, so j must be 1.

fro ii, J^J = 1. the only integer whose power is itself is equal to 1 is 1. so D.

Himalaya,
Souldn't it be B, because Condition 1) gives +/- 1
_________________

Fear Mediocrity, Respect Ignorance

Manager
Joined: 06 Aug 2005
Posts: 198
Followers: 3

Kudos [?]: 5 [0], given: 0

No 0^0 = 1 as well

So (ii) has two solutions, 0 and 1.

whereas (i) only has one solution 1.

So A
Manager
Joined: 31 Jul 2005
Posts: 86
Followers: 1

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

isn't 0^0 undefined? so cannot be solution?
Current Student
Joined: 28 Dec 2004
Posts: 3413
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 145 [0], given: 2

0^0=0...

x^0=1

for GMAT math that is....
Manager
Joined: 31 Jul 2005
Posts: 86
Followers: 1

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

i just did 0^0 on calculator and it has error message...also kaplan book says its undefined. is this typo?
Senior Manager
Joined: 29 Nov 2004
Posts: 486
Location: Chicago
Followers: 1

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

0^0 is undefined...cannot ask that in GMAT so B is for sure...

But guys How about A? doesn't that give J = +/- 1.
_________________

Fear Mediocrity, Respect Ignorance

Manager
Joined: 06 Aug 2005
Posts: 198
Followers: 3

Kudos [?]: 5 [0], given: 0

No (-1)^(-1) = -1
but mod (-1) = 1
So -1 does not satisfy the first equation.
Director
Joined: 05 Jan 2005
Posts: 562
Followers: 1

Kudos [?]: 8 [0], given: 0

this was also my problem guys. the value of 0^0. My own calculator (windows XP sci. calc) tells me it is 1, so my choice was (A), but the OA is (D).

So, what is the GMAT value of 0^0?
VP
Joined: 18 Nov 2004
Posts: 1448
Followers: 2

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

0^0, 0/0 etc are mathematically undefined, it is not just a GMAT fact. There may be slightly different rules for verbal in GMAT but laws of maths can't be changed.
Manager
Joined: 06 Aug 2005
Posts: 198
Followers: 3

Kudos [?]: 5 [0], given: 0

Axioms of mathematics can indeed be changed.

It is perfectly reasonable to treat 0^0 = 1.
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