Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 28 Sep 2011
Posts: 61
Location: United States
GMAT 1: 520 Q34 V27 GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)

If J#0, what is the value of J ?
[#permalink]
Show Tags
Updated on: 29 Jun 2014, 04:32
Question Stats:
57% (01:14) correct 43% (01:15) wrong based on 206 sessions
HideShow timer Statistics
If \(J\neq{0}\), what is the value of J ? (1) J = J^(1) (2) J^J = 1 I was working in this problem
What is the value of integer J?
1. J = J^{1} 2. J^J = 1
The answer is D, but I thought B could have two values, 0 and 1.
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by ashish8 on 23 Jul 2012, 15:39.
Last edited by Bunuel on 29 Jun 2014, 04:32, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.




Math Expert
Joined: 02 Sep 2009
Posts: 49892

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
09 Aug 2012, 04:34
ashish8 wrote: I was working in this problem whatisthevalueofintegerj1jj12jj81006.html. The answer is D, but I thought B could have two values, 0 and 1. QUESTION YOU ARE TALKING ABOUT SHOULD READ: If \(J\neq{0}\), what is the value of \(J\) ?(1) \(J = J^{1}\) (2) \(J^J = 1\) Two reasons why should the stem state that \(J\neq{0}\): For statement (1) if \(J=0\) then we'll have \(0^{1}=\frac{1}{0}=undefined\). Remember you can't raise zero to a negative power. For statement (2) if \(J=0\) then we'll have \(0^0\). 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. Also notice that saying in the stem that J is an integer is a redundant. AS FOR THE SOLUTION: 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. Answer: D.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Kaplan GMAT Instructor
Joined: 25 Aug 2009
Posts: 635
Location: Cambridge, MA

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
23 Jul 2012, 17:16
0^0 is equal to 1 in most mathematical conventions, but not all. Therefore, you can expect that GMAT not to test the subjectit won't show up, and you won't be expected to know it!
_________________
Eli Meyer Kaplan Teacher http://www.kaptest.com/GMAT
Prepare with Kaplan and save $150 on a course!
Kaplan Reviews



Director
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 610
Location: India
Concentration: Finance, Marketing
GPA: 3
WE: Information Technology (Computer Software)

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
02 Aug 2012, 03:06
GMAT never touches a topic which is not widely accepted. So, I dont think so that value of 0^0 will be the deciding factor in any GMAT Quant question. Meanwhile, I made a search for the same in internet. Interesting read: http://www.askamathematician.com/2010/1 ... disagree/
_________________
Ankit
Check my Tutoring Site > Brush My Quant
GMAT Quant Tutor How to start GMAT preparations? How to Improve Quant Score? Gmatclub Topic Tags Check out my GMAT debrief
How to Solve : Statistics  Reflection of a line  Remainder Problems  Inequalities



Intern
Status: gmat fresher
Joined: 07 Jun 2012
Posts: 25
GPA: 3.87

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
09 Aug 2012, 08:28
Thank you Bunuel....



Intern
Joined: 09 Mar 2013
Posts: 17
GPA: 3.51

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
16 Jun 2016, 00:40
I have a doubt in this solution (could be dumb ) but im still asking. I landed up with Option B , but how is Statement 1 alone sufficient ? I mean can't fractions also be considered in statement 1 and couldnt Abs value of 1/2 = 2^1 ? (i mean isnt that mathematical right) All i could say was that J is definitely positive .. I got 1 as well but I had this fraction option too so didn't go for Statement 1. Is it wrong to consider the fraction ? i dont know if im trying to be too analytical over this but don't want to make this mistake going into the exam Could some one pls pls help.



Math Expert
Joined: 02 Sep 2009
Posts: 49892

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
16 Jun 2016, 07:04
jodoubt wrote: I have a doubt in this solution (could be dumb ) but im still asking. I landed up with Option B , but how is Statement 1 alone sufficient ? I mean can't fractions also be considered in statement 1 and couldnt Abs value of 1/2 = 2^1 ? (i mean isnt that mathematical right) All i could say was that J is definitely positive .. I got 1 as well but I had this fraction option too so didn't go for Statement 1. Is it wrong to consider the fraction ? i dont know if im trying to be too analytical over this but don't want to make this mistake going into the exam Could some one pls pls help. No, the math is not correct. If J = 1/2, then: \(J = \frac{1}{2}\) but \(J^{1}=(\frac{1}{2})^{1}=2\).
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 09 Mar 2013
Posts: 17
GPA: 3.51

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
22 Jun 2016, 02:17
Bunuel wrote: jodoubt wrote: I have a doubt in this solution (could be dumb ) but im still asking. I landed up with Option B , but how is Statement 1 alone sufficient ? I mean can't fractions also be considered in statement 1 and couldnt Abs value of 1/2 = 2^1 ? (i mean isnt that mathematical right) All i could say was that J is definitely positive .. I got 1 as well but I had this fraction option too so didn't go for Statement 1. Is it wrong to consider the fraction ? i dont know if im trying to be too analytical over this but don't want to make this mistake going into the exam Could some one pls pls help. No, the math is not correct. If J = 1/2, then: \(J = \frac{1}{2}\) but \(J^{1}=(\frac{1}{2})^{1}=2\). Oh man right the math is wrong, J stands for the whole fraction itself !!!! thanks a lot Bunuel, your awesome ...



Manager
Joined: 24 Jan 2015
Posts: 55
Location: India

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
17 Oct 2017, 19:27
Bunuel For this question I substituted J^2 instead of J so the first statement would become J^3=1. This is correct?



Math Expert
Joined: 02 Sep 2009
Posts: 49892

Re: If J#0, what is the value of J ?
[#permalink]
Show Tags
17 Oct 2017, 21:19




Re: If J#0, what is the value of J ? &nbs
[#permalink]
17 Oct 2017, 21:19






