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

It is currently 13 Nov 2018, 18:43

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 in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     07:00 PM PST

     08:00 PM PST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

If x is an integer, is x/y an integer?

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

Hide Tags

Manager
Manager
avatar
Joined: 15 Feb 2011
Posts: 205
If x is an integer, is x/y an integer?  [#permalink]

Show Tags

New post 14 Aug 2011, 12:15
2
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (01:32) correct 35% (01:33) wrong based on 182 sessions

HideShow timer Statistics

If x is an integer, is x/y an integer?

(1) 2x/y is an integer
(2) y is an odd integer.
Intern
Intern
avatar
Joined: 03 Jul 2011
Posts: 27
Re: If x is an integer, is x/y an integer?  [#permalink]

Show Tags

New post 14 Aug 2011, 12:19
2
DeeptiM wrote:
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??


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.
Manager
Manager
avatar
Joined: 15 Feb 2011
Posts: 205
Re: If x is an integer, is x/y an integer?  [#permalink]

Show Tags

New post 14 Aug 2011, 12:36
I have the same answer explanation but somehow part C didnt make sense to me..
Intern
Intern
avatar
Joined: 03 Jul 2011
Posts: 27
Re: If x is an integer, is x/y an integer?  [#permalink]

Show Tags

New post 14 Aug 2011, 13:06
DeeptiM wrote:
I have the same answer explanation but somehow part C didnt make sense to me..


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.
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2698
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If x is an integer, is x/y an integer?  [#permalink]

Show Tags

New post 27 Jul 2015, 00:06
DeeptiM wrote:
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??


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
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8759
Premium Member
Re: If x is an integer, is x/y an integer?  [#permalink]

Show Tags

New post 26 Jan 2018, 10:31
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 Bot
Re: If x is an integer, is x/y an integer? &nbs [#permalink] 26 Jan 2018, 10:31
Display posts from previous: Sort by

If x is an integer, is x/y an integer?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.