Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Jul 2016, 13:28
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If j and k are integers and j^2/k is odd, which of the

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

Hide Tags

3 KUDOS received
Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 538
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 67

Kudos [?]: 2374 [3] , given: 217

If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 25 Feb 2012, 04:52
3
This post received
KUDOS
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

49% (02:26) correct 51% (01:26) wrong based on 152 sessions

HideShow timer Statistics

If j and k are integers and \(\frac{{j^2}}{k}\) is odd, which of the following must be true?

(A) j and k are both even
(B) j = k
(C) If j is even, k is even
(D) j is divisible by k
(E) \(j^2\) > k

What's the best way to approach these questions? Picking numbers or anything else?
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730


Last edited by Vyshak on 14 Jul 2016, 20:33, edited 1 time in total.
Formatting
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34073
Followers: 6087

Kudos [?]: 76557 [2] , given: 9976

Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 25 Feb 2012, 04:56
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
If j and k are integers and j^2 / k is odd, which of the following must be true ?

Actually you can use mixed approach.

Given: \(j\) and \(k\) are integers and \(\frac{j^2}{k}=odd\) --> \(j^2=k*odd\)

(A) j and k are both even: not necessarily true, for example \(j=1\) and \(k=1\);

(B) j = k: not necessarily true, for example \(j=3\) and \(k=1\);

(C) If j is even, k is even: as \(j^2=k*odd\) then in order \(j\) to be even \(k\) must be even too, so this statement must be true;

(D) j is divisible by k: not necessarily true, for example \(j=3\) and \(k=9\);

(E) j^2 > k: not necessarily true, for example \(j=1\) and \(k=1\).

Answer: C.
_________________

New to the Math Forum?
Please read this: 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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10610
Followers: 495

Kudos [?]: 129 [0], given: 0

Premium Member
Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 28 Jun 2014, 17:44
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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10610
Followers: 495

Kudos [?]: 129 [0], given: 0

Premium Member
Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 19 Aug 2015, 09:17
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

1 KUDOS received
Intern
Intern
avatar
Joined: 06 Aug 2015
Posts: 39
Concentration: General Management, Entrepreneurship
GPA: 3.34
WE: Programming (Consulting)
Followers: 1

Kudos [?]: 1 [1] , given: 14

CAT Tests
Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 13 Jul 2016, 20:28
1
This post received
KUDOS
If j and k are integers and (j^2)/k is odd, which of the following must be true?

(A) j and k are both even
(B) j = k
(C) If j is even, k is even
(D) j is divisible by k
(E) (j^2) > k
Math Forum Moderator
User avatar
Joined: 13 Apr 2015
Posts: 939
Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
Followers: 29

Kudos [?]: 362 [0], given: 500

GMAT ToolKit User Premium Member CAT Tests
Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 13 Jul 2016, 21:04
HARRY113 wrote:
If j and k are integers and (j^2)/k is odd, which of the following must be true?

(A) j and k are both even
(B) j = k
(C) If j is even, k is even
(D) j is divisible by k
(E) (j^2) > k


Topic Merged. Please refer the above discussion and search before posting.

Rules for posting: rules-for-posting-please-read-this-before-posting-133935.html#p1092822
Manager
Manager
avatar
Joined: 26 Nov 2012
Posts: 175
Followers: 0

Kudos [?]: 19 [0], given: 33

CAT Tests
Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 14 Jul 2016, 13:22
Bunuel wrote:
If j and k are integers and j^2 / k is odd, which of the following must be true ?

Actually you can use mixed approach.

Given: \(j\) and \(k\) are integers and \(\frac{j^2}{k}=odd\) --> \(j^2=k*odd\)

(A) j and k are both even: not necessarily true, for example \(j=1\) and \(k=1\);

(B) j = k: not necessarily true, for example \(j=3\) and \(k=1\);

(C) If j is even, k is even: as \(j^2=k*odd\) then in order \(j\) to be even \(k\) must be even too, so this statement must be true;

(D) j is divisible by k: not necessarily true, for example \(j=3\) and \(k=9\);

(E) j^2 > k: not necessarily true, for example \(j=1\) and \(k=1\).

Answer: C.



Hi Bunuel, please change format of the question, when I saw the question, I thought J to the power of 2/K and started to solve.

When I saw your solution, then I realized that I read the question in different way.Such typing mistakes must be avoided.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34073
Followers: 6087

Kudos [?]: 76557 [0], given: 9976

Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 14 Jul 2016, 21:22
Expert's post
msk0657 wrote:
Bunuel wrote:
If j and k are integers and j^2 / k is odd, which of the following must be true ?

Actually you can use mixed approach.

Given: \(j\) and \(k\) are integers and \(\frac{j^2}{k}=odd\) --> \(j^2=k*odd\)

(A) j and k are both even: not necessarily true, for example \(j=1\) and \(k=1\);

(B) j = k: not necessarily true, for example \(j=3\) and \(k=1\);

(C) If j is even, k is even: as \(j^2=k*odd\) then in order \(j\) to be even \(k\) must be even too, so this statement must be true;

(D) j is divisible by k: not necessarily true, for example \(j=3\) and \(k=9\);

(E) j^2 > k: not necessarily true, for example \(j=1\) and \(k=1\).

Answer: C.



Hi Bunuel, please change format of the question, when I saw the question, I thought J to the power of 2/K and started to solve.

When I saw your solution, then I realized that I read the question in different way.Such typing mistakes must be avoided.


j^2/k mathematically can only mean j^2 divided by k. If it were j to the power of k/2 it would be written as j^(2/k).
_________________

New to the Math Forum?
Please read this: 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

Intern
Intern
avatar
Joined: 29 May 2016
Posts: 44
Followers: 0

Kudos [?]: 1 [0], given: 65

CAT Tests
Re: If j and k are integers and j^2/k is odd, which of the [#permalink]

Show Tags

New post 14 Jul 2016, 21:35
change the equation to j^2 = odd number * k
a) j=81 k= 3 false
b) same as A
c) j= even j^=2 even = odd number K must be even true
d) j=3 k=9 ...false
e) j=k=1
Re: If j and k are integers and j^2/k is odd, which of the   [#permalink] 14 Jul 2016, 21:35
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic If k and y are integers, and 10k + y is odd, which of the following Bunuel 2 20 Mar 2016, 23:36
Experts publish their posts in the topic If j and k are integers, and 2j + k = 15, which of the following must Bunuel 3 13 Dec 2015, 05:00
26 If j and k are positive integers, j - 2 is divisible by 4 gmat1220 14 17 Apr 2011, 11:43
7 Experts publish their posts in the topic If j and k are integers and j^2 / k is odd, which of the fo rxs0005 4 10 Jan 2011, 13:54
2 Experts publish their posts in the topic If k and t are integers and k^2 – t^2 is an odd integer avenger 13 02 Oct 2007, 13:27
Display posts from previous: Sort by

If j and k are integers and j^2/k is odd, which of the

  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 and phpBB SEO

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®.