GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 08 Dec 2019, 00:56

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/y is an integer, which of the following must also be an integer?

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59588
If x/y is an integer, which of the following must also be an integer?  [#permalink]

Show Tags

New post 28 Feb 2016, 09:24
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

69% (01:04) correct 31% (00:56) wrong based on 172 sessions

HideShow timer Statistics

Manager
Manager
avatar
Joined: 25 Dec 2012
Posts: 116
Re: If x/y is an integer, which of the following must also be an integer?  [#permalink]

Show Tags

New post 28 Feb 2016, 09:41
1
Bunuel wrote:
If x/y is an integer, which of the following must also be an integer?

I. xy
II. y/x
III. x

A. I alone
B. II alone
C. III alone
D. I and III
E. None of the above


Lets take X = 4/3 and Y = 2/3

Then X/Y = 2 which is an integer.

But XY = 4/3 * 2/3 = 8/9 --> Not an integer.
Y/X = 2/3 divided by 4/3 = 2/4 = 1/2 Not an integer.
X alone is 4/3. Not an integer.

Hence E. None of the above.
Intern
Intern
avatar
Joined: 06 Jun 2014
Posts: 41
Re: If x/y is an integer, which of the following must also be an integer?  [#permalink]

Show Tags

New post 29 Feb 2016, 14:18
Since it is not stated that X or Y or both are integers, that implies that X and Y can be any number, fractions as well, so all posabilities are open, hence answer should be NONE of the ABOVE
Senior Manager
Senior Manager
User avatar
Joined: 20 Aug 2015
Posts: 384
Location: India
GMAT 1: 760 Q50 V44
Re: If x/y is an integer, which of the following must also be an integer?  [#permalink]

Show Tags

New post 03 Mar 2016, 03:05
Bunuel wrote:
If x/y is an integer, which of the following must also be an integer?

I. xy
II. y/x
III. x

A. I alone
B. II alone
C. III alone
D. I and III
E. None of the above


Given: x/y is an integer.
This means x is a multiple of y
We do not know if they are integers or not.

Assume x = 1/2 and y = 1/4
Therefore x/y = 2

I. xy = 1/2*1/4 = 1/8 Not an integer
II. y/x = (1/4)/(1/2) = 1/2 Not an integer
III. x = 1/2 Not an integer.

Therefore none of the statements are always true.
Option E
Senior Manager
Senior Manager
avatar
Joined: 15 Sep 2011
Posts: 305
Location: United States
WE: Corporate Finance (Manufacturing)
GMAT ToolKit User
Re: If x/y is an integer, which of the following must also be an integer?  [#permalink]

Show Tags

New post 03 Mar 2016, 18:42
IMO E.

None of the above. Take, for example:
\(x = \frac{1}{2}\)
\(y = \frac{1}{4}\)

\(\frac{x}{y}\) is an integer but none else is. The questions asks for which ones MUST be an integer and none of them are.
Retired Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1414
Location: India
Re: If x/y is an integer, which of the following must also be an integer?  [#permalink]

Show Tags

New post 21 Jun 2017, 21:26
This question can best be tested by taking 'decimal' values of x and y both, which should yield an integer for x/y. That is how most of the people have done, and I did the same way.

I took x = 4.5 and y = 1.5 so that x/y = 4.5/1.5 = 3, which is an integer. In this case,

xy = 4.5 * 1.5, NOT an integer
y/x = 1.5/4.5, NOT an integer
x = 4.5, NOT an integer

None of the three have to be necessarily be an integer, though they might be an integer (eg, if we take x=2, y=2 and then all three statements would give an integer value).

Hence E answer
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13724
Re: If x/y is an integer, which of the following must also be an integer?  [#permalink]

Show Tags

New post 24 Nov 2019, 03:28
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/y is an integer, which of the following must also be an integer?   [#permalink] 24 Nov 2019, 03:28
Display posts from previous: Sort by

If x/y is an integer, which of the following must also be an integer?

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





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