If x and y are integers greater than 1, is x a multiple of : GMAT Data Sufficiency (DS) - Page 3
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 12:34

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If x and y are integers greater than 1, is x a multiple of

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

### Hide Tags

Senior Manager
Joined: 24 Mar 2011
Posts: 457
Location: Texas
Followers: 5

Kudos [?]: 164 [1] , given: 20

Re: X and Y [#permalink]

### Show Tags

26 Jul 2011, 20:28
1
This post received
KUDOS
i think A.

Yalephd wrote:
If X and Y are integers greater than 1, is X a multiple of Y?

$$(1) 3Y^2 + 7Y = X$$

$$(2) X^2 - X$$ is a multiple of $$Y.$$

1st statement - Y(3Y+1) = X implies that... X is a multiple of Y... - sufficient

2nd Statement - i am not sure the best way... but i tried to use some arbitrary smart #s which will give me X>1.
X(X-1) is multiple of Y... so ex- if Y=6, then X =3.. so X is not a multiple of Y.
or Y = 12, then X = 4 again X is not a multiple of Y.

so not sufficient.
VP
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 1126
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Followers: 124

Kudos [?]: 540 [1] , given: 19

Re: X and Y [#permalink]

### Show Tags

26 Jul 2011, 21:13
1
This post received
KUDOS
The answer should be (A) - statement (1) alone is sufficient to answer the question.

Consider statement (1) first:
X = 3Y^2 + 7Y
=> X = Y (3Y + 7)
=> X = Y * some number
Therefore X is a multiple of Y. So statement (1) alone is sufficient.

Next consider statement 2:
X^2 - X is a multiple of Y
=> kY = X(X-1) where k is any integer >= 1
=> X = kY/(X-1) = [k/(X-1)]Y
Therefore X is a multiple of Y depending on whether k/(X-1) is an integer or not.
For k = 4 and X = 5, this works. For k=5, X=5 it does not work.
Therefore statement (2) alone is insufficient to answer the question.

Hence (A) is the correct answer choice.
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Top MBA Admissions Consulting | Top MiM Admissions Consulting

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Manager
Joined: 03 Aug 2010
Posts: 106
GMAT Date: 08-08-2011
Followers: 1

Kudos [?]: 66 [0], given: 63

Re: X and Y [#permalink]

### Show Tags

27 Jul 2011, 05:39
agdimple333, GyanOne,
Thank you.

GyanOne, I like your approach in evaluating statement 2.
Manager
Joined: 24 Jun 2011
Posts: 58
Followers: 0

Kudos [?]: 9 [0], given: 6

Re: X and Y [#permalink]

### Show Tags

27 Jul 2011, 09:46
A is enough
B - > Y is a multiple of X
Manager
Status: Time to apply!
Joined: 24 Aug 2011
Posts: 220
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 600 Q48 V25
GMAT 2: 660 Q50 V29
GMAT 3: 690 Q49 V34
GPA: 3.2
WE: Engineering (Computer Software)
Followers: 4

Kudos [?]: 113 [0], given: 166

Is x multiple of y [#permalink]

### Show Tags

29 Sep 2011, 07:28
If x and y are integers greater than 1, is x is a multiple of y ?

(1) 3 y^2 + 7y = x
(2) x^2 - x is a multiple of y

Sorry If I have repeated the question in the forum, but I searched for it in the existing questiosn, but couldn't find it
_________________

Didn't give up !!! Still Trying!!

Manager
Status: Target MBA
Joined: 20 Jul 2010
Posts: 211
Location: Singapore
Followers: 0

Kudos [?]: 16 [0], given: 12

Re: GMATPrep DS: Is x a multiple of y [#permalink]

### Show Tags

01 Oct 2011, 00:59
themagiccarpet wrote:
If x and y are integers greater than 1, is x a multiple of y?

(1) 3y^2 + 7y = x
(2) x^2 - x is a multiple of y

(a) x = y(3y+7) => x =ky (for a given y)
Sufficient

(b) x(x-1) = ky
if k =1, then x(x-1) = y, hence not x is not a multiple of y.
if k =(x-1), then x = y, hence not x is a multiple of y
Not sufficient

A is the answer.
_________________

Thanks and Regards,
GM.

Re: GMATPrep DS: Is x a multiple of y   [#permalink] 01 Oct 2011, 00:59

Go to page   Previous    1   2   3   [ 46 posts ]

Similar topics Replies Last post
Similar
Topics:
120 If x and y are integers greater than 1, is x a multiple of y 19 29 Jan 2012, 15:21
3 If x and y are integers greater than 1, is x a multiple of y? 3 03 May 2011, 05:51
3 If x and y are integers great than 1, is x a multiple of y? 3 13 Aug 2010, 02:07
51 If x, y, and z are integers greater than 1, and 31 21 Feb 2010, 13:20
4 If x and y are both integers greater than 1, is x a multiple 11 04 May 2008, 18:26
Display posts from previous: Sort by

# If x and y are integers greater than 1, is x a multiple of

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.