Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 22 Jul 2019, 16:28

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

If x and y are positive integers, is x a multiple of y?

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 06 Jul 2015
Posts: 1
Schools: Erasmus '18
GMAT ToolKit User
If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 24 Mar 2017, 19:14
2
4
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

42% (02:11) correct 58% (02:15) wrong based on 109 sessions

HideShow timer Statistics


If x and y are positive integers, is x a multiple of y?

(1) 2x is a multiple of y.
(2) 2(y^2) + y = 2x
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56357
Re: If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 25 Mar 2017, 03:04
3
4
If x and y are positive integers, is x a multiple of y?

Is \(\frac{x}{y}=integer\)?

(1) 2x is a multiple of y --> \(\frac{2x}{y}=integer\) --> \(\frac{x}{y}=\frac{integer}{2}\). If that integer is even then the answer will be YES but if that integer is odd then the answer will be NO (for example, consider x=2 and y=2 AND x=1 and y=2). Not sufficient.

(2) 2(y^2) + y = 2x --> divide by 2y: \(y + \frac{1}{2} = \frac{x}{y}\). Thus \(\frac{x}{y}=y+ \frac{1}{2}=integer+noninteger=noninteger\). Sufficient.

Answer: B.
_________________
General Discussion
Director
Director
User avatar
D
Joined: 05 Mar 2015
Posts: 998
If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 24 Mar 2017, 19:58
2
Omar7235 wrote:
If x and y are positive integers, is x a multiple of y?

(1) 2x is a multiple of y.
(2) 2(y^2) + y = 2x



Answer must be B

(1) if x= 4 && y=2 then YES
if x=3 && y=2 then NO

(2) y(2y+1)=2x
two options
(a) if y =odd
then 2y+1 is odd
then odd*odd never equals 2*odd

(2)y=even
then 2y+1 =odd
even*odd=even....satisfying
lets opt some values
if y=2 ,the least value ,then
2(y)*5(2y+1)= 2*5(x)...So we have x=5,y=2
for every y to be even , x must be odd
it is not a multiple..

suff

Ans B
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56357
Re: If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 25 Mar 2017, 06:58
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2284
Reviews Badge CAT Tests
If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 26 Mar 2017, 02:31
Bunuel wrote:
(2) 2(y^2) + y = 2x --> divide by 2y: \(y + \frac{1}{2} = \frac{x}{y}\). Thus \(\frac{x}{y}=y+ \frac{1}{2}=integer+noninteger=noninteger\). Sufficient.

Answer: B.



Dear Bunuel,

You have divided by 2y because it is mentioned that y is positive integer so we are certain that there is possibility to equal Zero.

Am I right?

Thanks
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56357
Re: If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 26 Mar 2017, 05:07
Senior SC Moderator
User avatar
V
Joined: 14 Nov 2016
Posts: 1329
Location: Malaysia
GMAT ToolKit User
If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 26 Mar 2017, 05:41
Omar7235 wrote:
If x and y are positive integers, is x a multiple of y?

(1) 2x is a multiple of y.
(2) \(2y^2 + y = 2x\)


Dear Omar7235, Could you please quote the source of the question? Thank you. :-D
_________________
"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

Advanced Search : https://gmatclub.com/forum/advanced-search/
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11743
Re: If x and y are positive integers, is x a multiple of y?  [#permalink]

Show Tags

New post 16 Aug 2018, 21:24
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 Club Bot
Re: If x and y are positive integers, is x a multiple of y?   [#permalink] 16 Aug 2018, 21:24
Display posts from previous: Sort by

If x and y are positive integers, is x a multiple of y?

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





cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne