Find all School-related info fast with the new School-Specific MBA Forum

It is currently 02 Oct 2014, 05:07

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Sets of consecutive numbers

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 212
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 35 [0], given: 7

GMAT ToolKit User
Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 07:29
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:19) wrong based on 4 sessions
Set X consists of seven consecutive integers, and set Y consists
of nine consecutive integers. Is the median of the numbers in
set X equal to the median of the numbers in set Y ?

(1) The sum of the numbers in set X is equal to the sum of
the numbers in set Y.
(2) The median of the numbers in set Y is 0.
Senior Manager
Senior Manager
avatar
Joined: 13 May 2011
Posts: 324
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
Followers: 19

Kudos [?]: 132 [0], given: 11

Re: Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 08:05
Statement 2: Does not talk about Set X: Not Sufficient
Statement 1: I see only one possibility for set X and Y
X= {-3,-2,-1,0,1,2,3}
Y={-4,-3,-2,-1,0,1,2,3, 4}
0 being the median for both. Sufficient
Senior Manager
Senior Manager
avatar
Joined: 23 Jun 2009
Posts: 359
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 5

Kudos [?]: 95 [0], given: 60

Re: Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 09:07
dreambeliever wrote:
Set X consists of seven consecutive integers, and set Y consists
of nine consecutive integers. Is the median of the numbers in
set X equal to the median of the numbers in set Y ?

(1) The sum of the numbers in set X is equal to the sum of
the numbers in set Y.
(2) The median of the numbers in set Y is 0.


1- Insufficient

There are 7 consecutive integers in X. Lets say the smallest x. The others will be x+1...x+6
There are 9 consecutive integers in Y. Lets say the smallest y. The others will be y+1...y+8

Sum of X = 7x+21= 7.(x+3)
Sum of Y = 9y+36 =9.(y+4)

if Sum of X = Sum of Y then makes 7(x+3)=9(y+4)..................(1)
median of X = x+3
median of Y = y+4

if median of X = median of Y then 7(x+3) must be equal to 9 (x+3) it is possible in only one case that is x=-3.

So we do not infer from this statement that median of x is equal to median of y.

2) we do not know anything about X

getting them together
we see that y+4= 0, so y = -4
and total of them are 0
and if total of X = 0 and X consists of 7 consequtive integers, X must be -3,..0,..3
So medians are equal

D
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 212
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 35 [0], given: 7

GMAT ToolKit User
Re: Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 09:35
thanks guys!
Ans = b
Manager
Manager
avatar
Joined: 31 May 2011
Posts: 90
Location: India
Concentration: Finance, International Business
GMAT Date: 12-07-2011
GPA: 3.22
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 29 [0], given: 4

Re: Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 10:09
dreambeliever wrote:
thanks guys!
Ans = b


Please recheck and confirm. The answer must be C.

Let set X be (a-3,a-2,......a+3) and set Y be (b-4,b-3,....b+4)
S1:The sum of the numbers in set X is equal to the sum of
the numbers in set Y.

So we have 7a = 9b. Now this is possible if
a=b=0 or if a=9 and b=7. Insufficient. Median may be same or different.

S2: The median of the numbers in set Y is 0. i.e b=0. We do not have any data on the set X. Hence Median may be same or different.

S1 and S2: Sufficient. a=b=0 Median are same sufficient.
Manager
Manager
avatar
Joined: 24 Oct 2011
Posts: 95
Location: India
Concentration: General Management, International Business
GMAT Date: 11-29-2011
GPA: 3.5
WE: Web Development (Computer Software)
Followers: 1

Kudos [?]: 13 [0], given: 27

Re: Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 12:03
I think C is the answer

Posted from my mobile device Image
Senior Manager
Senior Manager
User avatar
Joined: 11 May 2011
Posts: 376
Location: US
Followers: 2

Kudos [?]: 61 [0], given: 46

Re: Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 15:52
My answer is C.
I was freaking out while scrolling down this thread....B, B and than OA was C..I was relieved.

Cheers!
_________________

-----------------------------------------------------------------------------------------
What you do TODAY is important because you're exchanging a day of your life for it!
-----------------------------------------------------------------------------------------

Senior Manager
Senior Manager
avatar
Joined: 13 May 2011
Posts: 324
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
Followers: 19

Kudos [?]: 132 [0], given: 11

Re: Sets of consecutive numbers [#permalink] New post 04 Dec 2011, 22:31
Is using Algebra is the best way to deal with SET problem? i was using picking number and had tough to find sets for which the sum is equal (for this problem).
Experts: any specific guidelines for this sort of set problem?
Re: Sets of consecutive numbers   [#permalink] 04 Dec 2011, 22:31
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic If S is a finite set of consecutive even numbers, is the venmic 1 28 May 2012, 05:01
Consecutive numbers Zarthul 2 24 Jun 2011, 13:55
3 Experts publish their posts in the topic Set K consists of a finite number of consecutive odd Economist 4 25 Oct 2009, 00:13
1 Set S consist of 5 consecutive integer number. Set T micky577 3 17 Oct 2008, 09:09
If S is a finite set of consecutive even numbers, is the dreamgmat1 5 16 Jun 2007, 19:53
Display posts from previous: Sort by

Sets of consecutive numbers

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.