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

Oldest

Best Reply

Author

Message

TAGS:

Director

Joined: 05 Jan 2005

Posts: 648

Followers: 1

Kudos [?]: 6 [0], given: 0

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

26 Aug 2005, 00:55

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

what is the value of integer J

1: | J | = J ^ -1
2: J^J = 1

SVP

Joined: 05 Apr 2005

Posts: 1745

Followers: 2

Kudos [?]: 17 [0], given: 0

Re: DS: Value of J [#permalink]

26 Aug 2005, 06:45

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: 491

Location: Chicago

Followers: 1

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

Re: DS: Value of J [#permalink]

26 Aug 2005, 08:37

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: 201

Followers: 3

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

[#permalink]

26 Aug 2005, 08:45

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: 87

Followers: 1

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

[#permalink]

26 Aug 2005, 08:48

isn't 0^0 undefined? so cannot be solution?

Current Student

Joined: 28 Dec 2004

Posts: 3437

Location: New York City

Schools: Wharton'11 HBS'12

Followers: 11

Kudos [?]: 134 [0], given: 2

[#permalink]

26 Aug 2005, 13:42

0^0=0...

x^0=1

for GMAT math that is....

Manager

Joined: 31 Jul 2005

Posts: 87

Followers: 1

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

[#permalink]

26 Aug 2005, 14:25

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: 491

Location: Chicago

Followers: 1

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

[#permalink]

26 Aug 2005, 16:10

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: 201

Followers: 3

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

[#permalink]

27 Aug 2005, 00:21

No (-1)^(-1) = -1
but mod (-1) = 1
So -1 does not satisfy the first equation.

Director

Joined: 05 Jan 2005

Posts: 648

Followers: 1

Kudos [?]: 6 [0], given: 0

[#permalink]

28 Aug 2005, 12:04

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?

SVP

Joined: 18 Nov 2004

Posts: 1544

Followers: 2

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

[#permalink]

28 Aug 2005, 17:25

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: 201

Followers: 3

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

[#permalink]

29 Aug 2005, 09:20

Axioms of mathematics can indeed be changed.

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

[#permalink] 29 Aug 2005, 09:20

	Similar topics	Author	Replies	Last post
Similar Topics:	What is the value of integer J? (1) mod{J} = J^-1 (2) J^J =	arjunmadan	11	17 Jul 2007, 20:24
	What is the value of integer J? 1) \|J\| = J^(-1) 2) J^J = 1	leeye84	16	13 Aug 2007, 13:58
	What is the value of integer J? 1. \|J\|= J^-1 2.J^J=1	x2suresh	14	03 Sep 2008, 14:21
	What is the integer value of J? 1) \| J \| = J^-1 2) J^J = 1	jjhko	7	16 Sep 2008, 21:22
	What is the value of integer J? 1. \|J\| = J^{-1} 2. J^J = 1	bassiseema	4	17 Jul 2009, 09:31

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

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

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

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

Main navigation

GMAT Resources

Partners

MBA Resources