It is currently 21 Oct 2017, 09:24

### 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

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

# Is the median of set S even? 1. Set S is composed of

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

### Hide Tags

Manager
Joined: 13 May 2010
Posts: 106

Kudos [?]: 126 [2], given: 7

Is the median of set S even? 1. Set S is composed of [#permalink]

### Show Tags

12 Jun 2010, 11:51
2
KUDOS
00:00

Difficulty:

(N/A)

Question Stats:

53% (00:54) correct 47% (00:57) wrong based on 63 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

Oa is
[Reveal] Spoiler:
c

I think there is some problem with OA here.

Using only statement II we can solve this Q as follows:

Assuming

I. the set as {2,4,6} -------statement II required
Mean = 4 , even
Median = 4 even

II. Set as {2,4,6,8}
Mean = 5
Median = 5

III. Set {1,3,5,7} -------statement II required
Mean = 4
Median = 4

Hence we do not require the info provided in statement I and we can solve with statemetn II only. Can anybody comment on this ?

Kudos [?]: 126 [2], given: 7

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129116 [2], given: 12194

Re: Gmat club test 16 [#permalink]

### Show Tags

12 Jun 2010, 12:20
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
gmatcracker2010 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

Oa is
[Reveal] Spoiler:
c

I think there is some problem with OA here.

Using only statement II we can solve this Q as follows:

Assuming

I. the set as {2,4,6} -------statement II required
Mean = 4 , even
Median = 4 even

II. Set as {2,4,6,8}
Mean = 5
Median = 5

III. Set {1,3,5,7} -------statement II required
Mean = 4
Median = 4

Hence we do not require the info provided in statement I and we can solve with statemetn II only. Can anybody comment on this ?

Your reasoning is not correct. Are you saying that all sets with even mean have even median? What about: {1, 1, 4} --> $$mean=2=even$$ and $$median=1=odd$$ OR {0.6, 1.2, 4,2, } --> $$mean=2=even$$ and $$median=1.2\neq{integer}$$.

Is the median of set S even?

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

(2) The mean of set S is even. Insufficient as shown above.

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

Hope it helps.
_________________

Kudos [?]: 129116 [2], given: 12194

Manager
Joined: 24 Mar 2010
Posts: 104

Kudos [?]: 30 [1], given: 12

Re: Gmat club test 16 [#permalink]

### Show Tags

13 Jun 2010, 14:54
1
KUDOS
I think this question is better done conceptually rather than with thru trial and error.
Like in this example, the first statement tells us the set has all odd integers while the second says it has an even number of ingers, taken together, should be enough to answer the question.

But thanks for posting the question
_________________

Please do consider giving kudos if you like my posts

Kudos [?]: 30 [1], given: 12

Manager
Joined: 07 Oct 2006
Posts: 70

Kudos [?]: 9 [0], given: 3

Location: India
Re: Gmat club test 16 [#permalink]

### Show Tags

14 Jun 2010, 05:09
Bunuel, very good explanation. It was easier one compared to tough ones you had explained earlier.
_________________

-------------------------------------
Please give kudos, if my post is helpful.

For English Grammar tips, consider visiting http://www.grammar-quizzes.com/index.html.

Kudos [?]: 9 [0], given: 3

Manager
Joined: 07 Aug 2010
Posts: 75

Kudos [?]: 19 [1], given: 9

Re: Gmat club test 16 [#permalink]

### Show Tags

10 Oct 2010, 16:45
1
KUDOS
C

1) depending of the number of elements, the median can be odd or even. not suff.

2) mean = even does not tell you anything about the middle number or middle 2 nums

together:
even mean of consecutive odd ints =>even num of elements
consecutive odd ints => let middle be 21, 23 => median is even
_________________

Click that thing - Give kudos if u like this

Kudos [?]: 19 [1], given: 9

Manager
Joined: 19 Sep 2010
Posts: 172

Kudos [?]: 99 [1], given: 18

Re: Gmat club test 16 [#permalink]

### Show Tags

16 Oct 2010, 05:10
1
KUDOS
yes...should be C..

Kudos [?]: 99 [1], given: 18

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16595

Kudos [?]: 273 [0], given: 0

Re: Is the median of set S even? 1. Set S is composed of [#permalink]

### Show Tags

26 Sep 2015, 04:40
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.
_________________

Kudos [?]: 273 [0], given: 0

Re: Is the median of set S even? 1. Set S is composed of   [#permalink] 26 Sep 2015, 04:40
Display posts from previous: Sort by

# Is the median of set S even? 1. Set S is composed of

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

 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®.