It is currently 24 Nov 2017, 00:51

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If j and k are integers and jk = 12, what is the value of k ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 13 Jul 2015
Posts: 2

Kudos [?]: 5 [1], given: 2

If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 04 Sep 2015, 06:55
1
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

51% (00:53) correct 49% (00:54) wrong based on 168 sessions

HideShow timer Statistics

If j and k are integers and jk = 12, what is the value of k ?

(1) j/6 is an integer

(2) k/2 is an integer.
[Reveal] Spoiler: OA

Last edited by Bunuel on 05 Sep 2015, 04:17, edited 2 times in total.
Renamed the topic and formatted the question

Kudos [?]: 5 [1], given: 2

1 KUDOS received
Current Student
avatar
B
Joined: 20 Mar 2014
Posts: 2672

Kudos [?]: 1776 [1], given: 794

Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 04 Sep 2015, 07:02
1
This post received
KUDOS
archit25 wrote:
If j and k are integers and jk = 12, what is the value of k ?

STATEMENT 1: j/6 is an integer

STATEMENT 2: k/2 is an integer.





PS: consider kuds :)


Please follow posting guidelines.

As for the question,

jk=12 , j,k \(\in\)integer

Per statement 1, j/6 = integer ---> j = -12 or -6 or 0 or 6 or 12. For j = -12, k = -1 but with j = 12, k = 1 . Thus this statement is NOT sufficient.

Per statement 2, k/2 = integer ---> k=even. Thus this statement is NOT sufficient.

Combining, you get, j/6 = integer and k = even

Thus the following cases satisfy the above 2 conditions:

J=-6, k = -2 and
j=6, k =2.

Thus still you get 2 different values of k and hence E is the correct answer.

Kudos [?]: 1776 [1], given: 794

Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 564

Kudos [?]: 2942 [0], given: 220

Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 04 Sep 2015, 13:53
If j and k are integers and jk = 12, what is the value of k ?

STATEMENT 1: \(\frac{j}{6}\) s an integer

STATEMENT 2: \(\frac{k}{2}\) is an integer.
_________________

Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

Kudos [?]: 2942 [0], given: 220

1 KUDOS received
Current Student
avatar
B
Joined: 20 Mar 2014
Posts: 2672

Kudos [?]: 1776 [1], given: 794

Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 04 Sep 2015, 14:09
1
This post received
KUDOS
AbdurRakib wrote:
If j and k are integers and jk = 12, what is the value of k ?

STATEMENT 1: \(\frac{j}{6}\) s an integer

STATEMENT 2: \(\frac{k}{2}\) is an integer.


SEARCH FOR A QUESTION BEFORE POSTING.

FOLLOW FORUM POSTING RULES.

Refer above for solution

Topics merged

Kudos [?]: 1776 [1], given: 794

SVP
SVP
User avatar
B
Joined: 06 Nov 2014
Posts: 1904

Kudos [?]: 542 [0], given: 23

Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 06 Sep 2015, 20:34
jk = 12 and j,k are integers.

From Statement 1,
j/6 = integer. This implies j can be -6, -12, 6, 12
This gives us multiple values of k. NOT SUFFICIENT

From Statement 2,
k/12 = integer. This implies k = -2, -4, -6, -12, 2, 4, 6, 12
Mutiple values of k, NOT SUFFICIENT

Combining both the statement,
We can have two pairs of values for j,k: (6, 2) and (-6, -2)
We still do not have a unique answer. NOT SUFFICIENT

Correct Option E

Kudos [?]: 542 [0], given: 23

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4356

Kudos [?]: 3062 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 07 Sep 2015, 07:24
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.

If j and k are integers and jk = 12, what is the value of k ?

(1) j/6 is an integer

(2) k/2 is an integer.

In the original condition we have 2 variables (j,k) and 1 equation (jk=12) thus we need 1 more equation to match the number of variables and equations. Since there is 1 each in 1) and 2), D is likely the answer.
In case of 1), the multiple of j=6 -> 6,-6 --> k=2,-2 therefore the answer is not unique, and the condition is not sufficient
In case of 2), the multiple of k=2 -> 2,-2, therefore the answer is not unique, and the condition is not not sufficient
Using both 1) & 2) k=2,-2 therefore it is not unique and thus the conditions are not not sufficient. therefore the answer is E
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3062 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15503

Kudos [?]: 283 [0], given: 0

Premium Member
Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 14 Sep 2017, 13:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Senior Manager
Senior Manager
User avatar
G
Joined: 02 Jul 2017
Posts: 270

Kudos [?]: 85 [0], given: 65

GMAT 1: 730 Q50 V38
GMAT ToolKit User CAT Tests
Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 15 Sep 2017, 08:31
=> j and k are integers
=> jk = 12
Find k ?

jk =12 = 1*12 = 2*6 =3*4 = -1 *-12 = -2* -6 = -3 * -4


(1) j/6 is an integer
By looking at above and j/6= integer => j = {12,6, -6, -12} => k = {1,2, -1, -2}
Insufficient

(2) k/2 is an integer.
By looking at above and k/2= integer => k = {2,4,6,12, -2, -4, -6, -12)
Insufficient

1+2
=> k = -2 or 2
Insufficient

Answer: E

Kudos [?]: 85 [0], given: 65

Intern
Intern
avatar
Joined: 29 Aug 2017
Posts: 5

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

Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 15 Sep 2017, 09:03
Hello everyone,

I have a question? Where and answers (A,B,C...) of the posted questions? I just see the CORRECT answers?

Regards,
Sep.

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42355

Kudos [?]: 133182 [0], given: 12439

Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 15 Sep 2017, 09:07
sepehr23 wrote:
Hello everyone,

I have a question? Where and answers (A,B,C...) of the posted questions? I just see the CORRECT answers?

Regards,
Sep.


This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following posts:
ALL YOU NEED FOR QUANT.
Ultimate GMAT Quantitative Megathread

Hope this helps.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133182 [0], given: 12439

VP
VP
User avatar
G
Status: Learning
Joined: 20 Dec 2015
Posts: 1083

Kudos [?]: 82 [0], given: 541

Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: 314 Q157 V157
GPA: 3.4
WE: Manufacturing and Production (Manufacturing)
Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 15 Sep 2017, 13:10
The answer is E
From First statement we have
Two values of j i.e 12 and 6
From second statement we have 4 values of k
2,4,6,12
Taken together we still can not find the value of k
Hence E

Sent from my ONE E1003 using GMAT Club Forum mobile app
_________________

We are more often frightened than hurt; and we suffer more from imagination than from reality

Kudos [?]: 82 [0], given: 541

Intern
Intern
avatar
Joined: 29 Aug 2017
Posts: 5

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

Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

Show Tags

New post 16 Sep 2017, 01:55
Dear Bunuel,

It helped :)! Thank you for the post.
Sep.

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

Re: If j and k are integers and jk = 12, what is the value of k ?   [#permalink] 16 Sep 2017, 01:55
Display posts from previous: Sort by

If j and k are integers and jk = 12, what is the value of k ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.