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

 It is currently 18 Oct 2019, 21:44

### 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

# Is the median of set S even? (1) Set S is composed of consecutive odd

Author Message
TAGS:

### Hide Tags

Manager
Joined: 13 May 2010
Posts: 86
Is the median of set S even? (1) Set S is composed of consecutive odd  [#permalink]

### Show Tags

12 Jun 2010, 11:51
2
00:00

Difficulty:

55% (hard)

Question Stats:

62% (01:18) correct 38% (01:34) wrong based on 92 sessions

### HideShow timer Statistics

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=medianmean=median. But still insufficient.

(2) The mean of set S is even.

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 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 ?
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: Is the median of set S even? (1) Set S is composed of consecutive odd  [#permalink]

### Show Tags

12 Jun 2010, 12:20
2
3
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

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.
_________________
##### General Discussion
Manager
Joined: 24 Mar 2010
Posts: 79
Re: Is the median of set S even? (1) Set S is composed of consecutive odd  [#permalink]

### Show Tags

13 Jun 2010, 14:54
1
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
Manager
Joined: 07 Oct 2006
Posts: 55
Location: India
Re: Is the median of set S even? (1) Set S is composed of consecutive odd  [#permalink]

### Show Tags

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

For English Grammar tips, consider visiting http://www.grammar-quizzes.com/index.html.
Manager
Joined: 07 Aug 2010
Posts: 54
Re: Is the median of set S even? (1) Set S is composed of consecutive odd  [#permalink]

### Show Tags

10 Oct 2010, 16:45
1
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
Non-Human User
Joined: 09 Sep 2013
Posts: 13264
Re: Is the median of set S even? (1) Set S is composed of consecutive odd  [#permalink]

### Show Tags

22 Mar 2018, 00:05
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.
_________________
Re: Is the median of set S even? (1) Set S is composed of consecutive odd   [#permalink] 22 Mar 2018, 00:05
Display posts from previous: Sort by