It is currently 18 Oct 2017, 00:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If J#0, what is the value of J ?

Author Message
TAGS:

### Hide Tags

Director
Joined: 05 Jan 2005
Posts: 556

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

If J#0, what is the value of J ? [#permalink]

### Show Tags

26 Aug 2005, 00:55
7
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

44% (01:02) correct 56% (00:50) wrong based on 313 sessions

### HideShow timer Statistics

If $$J\neq{0}$$, what is the value of J ?

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

(2) J^J = 1

what is the value of integer J

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-j-0-what-is-the-value-of-j-136223.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 29 Jun 2014, 04:35, edited 1 time in total.
Renamed the topic, edited the question and added the OA.

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

SVP
Joined: 05 Apr 2005
Posts: 1708

Kudos [?]: 94 [0], given: 0

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

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.

Kudos [?]: 94 [0], given: 0

Senior Manager
Joined: 29 Nov 2004
Posts: 478

Kudos [?]: 34 [0], given: 0

Location: Chicago
Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

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

Kudos [?]: 34 [0], given: 0

Manager
Joined: 06 Aug 2005
Posts: 197

Kudos [?]: 13 [0], given: 0

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

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

Kudos [?]: 13 [0], given: 0

Manager
Joined: 31 Jul 2005
Posts: 86

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

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

26 Aug 2005, 08:48
isn't 0^0 undefined? so cannot be solution?

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

Current Student
Joined: 28 Dec 2004
Posts: 3351

Kudos [?]: 319 [0], given: 2

Location: New York City
Schools: Wharton'11 HBS'12
Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

26 Aug 2005, 13:42
0^0=0...

x^0=1

for GMAT math that is....

Kudos [?]: 319 [0], given: 2

Manager
Joined: 31 Jul 2005
Posts: 86

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

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

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?

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

Senior Manager
Joined: 29 Nov 2004
Posts: 478

Kudos [?]: 34 [0], given: 0

Location: Chicago
Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

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

Kudos [?]: 34 [0], given: 0

Manager
Joined: 06 Aug 2005
Posts: 197

Kudos [?]: 13 [0], given: 0

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

27 Aug 2005, 00:21
No (-1)^(-1) = -1
but mod (-1) = 1
So -1 does not satisfy the first equation.

Kudos [?]: 13 [0], given: 0

Director
Joined: 05 Jan 2005
Posts: 556

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

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

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?

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

VP
Joined: 18 Nov 2004
Posts: 1431

Kudos [?]: 44 [0], given: 0

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

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.

Kudos [?]: 44 [0], given: 0

Manager
Joined: 06 Aug 2005
Posts: 197

Kudos [?]: 13 [0], given: 0

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

29 Aug 2005, 09:20
Axioms of mathematics can indeed be changed.

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

Kudos [?]: 13 [0], given: 0

Manager
Joined: 23 Jan 2013
Posts: 172

Kudos [?]: 56 [0], given: 41

Concentration: Technology, Other
Schools: Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

29 Jun 2014, 01:01
My calculator says 0 ^ 0 is 1

If we consider stmt 1 | j | = 1 / j then j has to be only j = 1 .
stmt 2 j^j = 1 then j =0 or 1 .
Then OA is a could some one comment on this ???

I am totally confused !!

Kudos [?]: 56 [0], given: 41

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128649 [0], given: 12181

Re: If J#0, what is the value of J ? [#permalink]

### Show Tags

29 Jun 2014, 04:34
shelrod007 wrote:
My calculator says 0 ^ 0 is 1

If we consider stmt 1 | j | = 1 / j then j has to be only j = 1 .
stmt 2 j^j = 1 then j =0 or 1 .
Then OA is a could some one comment on this ???

I am totally confused !!

0^0, in some sources equals to 1, some mathematicians say it's undefined. Anyway you won't need this for the GMAT because the case of 0^0 is not tested on the GMAT. So on the GMAT the possibility of 0^0 is always ruled out.

If $$J\neq{0}$$, what is the value of $$J$$ ?

(1) $$|J| = J^{-1}$$ --> $$|J|*J=1$$ --> $$J=1$$ (here J can no way be a negative number, since in this case we would have $$|J|*J=positive*negative=negative\neq{1}$$). Sufficient.

(2) $$J^J = 1$$ --> again only one solution: $$J=1$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-j-0-what-is-the-value-of-j-136223.html
_________________

Kudos [?]: 128649 [0], given: 12181

Re: If J#0, what is the value of J ?   [#permalink] 29 Jun 2014, 04:34
Display posts from previous: Sort by

# If J#0, what is the value of J ?

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.