Last visit was: 23 Apr 2026, 15:26 It is currently 23 Apr 2026, 15:26
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
DeeptiM
User avatar
Joined: 16 Feb 2011
Last visit: 01 Mar 2012
Posts: 141
Own Kudos:
1,293
 [35]
Given Kudos: 9
Posts: 141
Kudos: 1,293
 [35]
If x is an integer, is x/y an integer? 14 Aug 2011, 13:15
2
Kudos
Add Kudos
32
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

74% (01:25) correct 26% (01:29) wrong based on 734 sessions

History

Date
Time
Result
Not Attempted Yet
If x is an integer, is x/y an integer?

(1) 2x/y is an integer
(2) y is an odd integer.
ShowHide Answer
Official Answer
C
Drill more questions that test the same idea in GMAT Club Timed Quiz → Free.
Most Helpful Reply
User avatar
timeishere
User avatar
Joined: 03 Jul 2011
Last visit: 20 Aug 2011
Posts: 14
Own Kudos:
30
 [5]
Posts: 14
Kudos: 30
 [5]
If x is an integer, is x/y an integer? 14 Aug 2011, 13:19
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
DeeptiM
If x is an integer, is x/y an integer?
(1) 2x/y is an integer
(2) y is an odd integer.

Can someone help me explain part C of the question??
Show more

Answer is C.
Taking only 1. Not sufficient, as x/y can be 1/2
Taking only 2. Not sufficient, we dont know anything about x

Taking both - 2x/y is integer when y is odd integer.
Y can not divide 2 (as odd cannot divide even)
Hence, y must divide x.
Therefore x/y is integer.
General Discussion
User avatar
DeeptiM
User avatar
Joined: 16 Feb 2011
Last visit: 01 Mar 2012
Posts: 141
Own Kudos:
1,293
Given Kudos: 9
Posts: 141
Kudos: 1,293
If x is an integer, is x/y an integer? 14 Aug 2011, 13:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I have the same answer explanation but somehow part C didnt make sense to me..
User avatar
timeishere
User avatar
Joined: 03 Jul 2011
Last visit: 20 Aug 2011
Posts: 14
Own Kudos:
30
Posts: 14
Kudos: 30
If x is an integer, is x/y an integer? 14 Aug 2011, 14:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
DeeptiM
I have the same answer explanation but somehow part C didnt make sense to me..
Show more

Given is 2 * (X/Y) is integer

In case, X/Y is not integer but still the above fact is true=> Only possible when Y=2 => But this violated Statement 2.

If Y = Even (i.e 2) Then the constant 2 already extra available, can cancel the 3 in denominator. and X may or may not be a multiple of 2. Thus, we cannot say whether X/Y is integer or not.

When Y is Odd. Take Y=3.
Now, 2*(X/3) Can be an integer when X is a multiple of 3, which will cancel the 3 in denominator.
or we can write X= aY, where a is a constant integer.

Thus X/Y is an integer.

Hope clear.
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 23 Apr 2026
Posts: 6,976
Own Kudos:
16,908
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,976
Kudos: 16,908
 [1]
If x is an integer, is x/y an integer? 27 Jul 2015, 01:06
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
DeeptiM
If x is an integer, is x/y an integer?
(1) 2x/y is an integer
(2) y is an odd integer.

Can someone help me explain part C of the question??
Show more

Question : is x/y an integer?

Statement 1: 2x/y is an integer

Case-1: x = 3 and y = 2 and 2x/y is an integer but x/y is NOT an Integer
Case-2: x = 4 and y = 2 and 2x/y is an integer and x/y is an Integer too.
NOT SUFFICIENT

Statement 2: y is an odd integer

Case-1: x = 4 and y = 3 and but x/y is NOT an Integer
Case-2: x = 3 and y = 3 and and x/y is an Integer.
NOT SUFFICIENT

Combining the two statements:
if y is odd and 2x/y is an integer then y can't be influenced by the factor 2 in Numerator of 2x/y and hence
for 2x/y to be an Integer, x/y must be an Integer as well.
SUFFICIENT

Answer: option C
User avatar
SchruteDwight
User avatar
Joined: 03 Sep 2018
Last visit: 30 Mar 2023
Posts: 164
Own Kudos:
117
Given Kudos: 923
Location: Netherlands
Schools: HEC MiM "22 (S) LBS MiM "21 (A)
GPA: 4
Products:
My Reviews
Schools: HEC MiM "22 (S) LBS MiM "21 (A)
Posts: 164
Kudos: 117
If x is an integer, is x/y an integer? 04 Nov 2019, 00:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We need to know that \(2*Z=Z\) whereby \(Z\) stands for integer.

If we combine both statements we get

\(\frac{2*Z_1}{Z_2}=Z_3\) and since \(Z_2=odd\) the 2 cannot cancel it out, implying that \(\frac{Z_1}{Z_2}=Z_4\) as otherwise the equation would not hold.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,962
Own Kudos:
1,117
Posts: 38,962
Kudos: 1,117
If x is an integer, is x/y an integer? 29 Apr 2024, 06:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109785 posts
kingbucky
498 posts
Gmat860sanskar
212 posts