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

It is currently 23 Jul 2016, 08:48
GMAT Club Tests

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

Is the median of set S even?

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

Hide Tags

2 KUDOS received
Manager
Manager
avatar
Joined: 13 May 2010
Posts: 124
Followers: 0

Kudos [?]: 10 [2] , given: 4

Is the median of set S even? [#permalink]

Show Tags

New post 07 Feb 2012, 13:59
2
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

61% (01:49) correct 39% (00:57) wrong based on 180 sessions

HideShow timer Statistics

Is the median of set S even?

(1) Set S is composed of consecutive odd integers
(2) The mean of set S is even
[Reveal] Spoiler: OA
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33993
Followers: 6073

Kudos [?]: 76215 [2] , given: 9968

Re: club 13 - q1 [#permalink]

Show Tags

New post 07 Feb 2012, 14:04
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
teal wrote:
Is the median of set \(S\) even?

1. Set \(S\) is composed of consecutive odd integers
2. The mean of set \(S\) is even

Can someone please explain the correct approach for this one?


Is the median of set S even?

(1) Set S is composed of consecutive odd integers --> set S is evenly spaced --> for any every evenly spaced set mean=median. But still insufficient.

(2) The mean of set S is even. Insufficient on its own.

(1)+(2) From (1) mean=median and from (2) mean=even --> mean=median=even. Sufficient.

Answer: C.

Hope it helps.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 13 May 2010
Posts: 124
Followers: 0

Kudos [?]: 10 [0], given: 4

Re: Is the median of set S even? [#permalink]

Show Tags

New post 07 Feb 2012, 14:44
can you please give me an example of a set in which mean is even and median is odd for statement 2?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33993
Followers: 6073

Kudos [?]: 76215 [0], given: 9968

Re: Is the median of set S even? [#permalink]

Show Tags

New post 07 Feb 2012, 14:46
Expert's post
Intern
Intern
avatar
Joined: 10 Jan 2014
Posts: 22
Followers: 0

Kudos [?]: 2 [0], given: 6

Re: Is the median of set S even? [#permalink]

Show Tags

New post 11 Feb 2014, 05:47
why isn't the correct answer A?

from statement 1 we know that S is a set containing consecutive odd integers, hence, it is an evenly spaced set. For all evenly spaced sets --> Mean = Median . Also, for all evenly spaced sets, Mean = Sum of first and last Number/ 2. Since we know that all numbers in the set are odd, we know that the first and the last number are odd, too, therefore odd + odd = even. Even/2=even --> the mean, and therefore the median of the set are even. Statement 1 is sufficient. If i did make a mistake, can someone please explain?

Cheers,
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33993
Followers: 6073

Kudos [?]: 76215 [1] , given: 9968

Re: Is the median of set S even? [#permalink]

Show Tags

New post 11 Feb 2014, 06:00
1
This post received
KUDOS
Expert's post
damamikus wrote:
why isn't the correct answer A?

from statement 1 we know that S is a set containing consecutive odd integers, hence, it is an evenly spaced set. For all evenly spaced sets --> Mean = Median . Also, for all evenly spaced sets, Mean = Sum of first and last Number/ 2. Since we know that all numbers in the set are odd, we know that the first and the last number are odd, too, therefore odd + odd = even. Even/2=even --> the mean, and therefore the median of the set are even. Statement 1 is sufficient. If i did make a mistake, can someone please explain?

Cheers,


Why wouldn't you check your theories with simple examples?

{1, 3} --> median = 2 = even.
{1, 3, 5} --> median = 3 = odd.

Mistake in your reasoning is that even/2 = integer, not necessarily even. For, example, 4/2 = 2 = even, but 6/2 = 3 = odd.

Does this make sense?
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 10 Jan 2014
Posts: 22
Followers: 0

Kudos [?]: 2 [0], given: 6

Re: Is the median of set S even? [#permalink]

Show Tags

New post 11 Feb 2014, 06:08
thanks Bunuel!! you're right, i assumed even/2=even when in fact, as you pointed out, even/2=integer. thanks for the advice, i'll try to double-check my answers next time with some simple examples :)
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10561
Followers: 495

Kudos [?]: 129 [0], given: 0

Premium Member
Re: Is the median of set S even? [#permalink]

Show Tags

New post 21 Jan 2016, 12:12
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

Re: Is the median of set S even?   [#permalink] 21 Jan 2016, 12:12
    Similar topics Author Replies Last post
Similar
Topics:
13 Experts publish their posts in the topic If S is a finite set of consecutive even numbers, is the median of S Bunuel 11 20 Jan 2015, 07:12
2 Experts publish their posts in the topic Is the median of set A greater than the median of set B? summer101 4 20 Oct 2013, 12:18
1 Experts publish their posts in the topic If set consists of even number of integers, is the median amp0201 1 30 Apr 2012, 13:02
2 Experts publish their posts in the topic There is a set of consecutive even integers ajit257 7 28 Mar 2011, 19:35
8 Experts publish their posts in the topic Is the median of set S even? 1. Set S is composed of gmatcracker2010 6 12 Jun 2010, 11:51
Display posts from previous: Sort by

Is the median of set S even?

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


GMAT Club MBA Forum Home| About| 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®.