If S is a finite set of consecutive even numbers, is the : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 00:34

### 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

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 S is a finite set of consecutive even numbers, is the

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Nov 2009
Posts: 138
Followers: 3

Kudos [?]: 165 [1] , given: 97

If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

28 May 2012, 05:01
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

52% (02:11) correct 48% (01:13) wrong based on 95 sessions

### HideShow timer Statistics

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.
(2) The range of set S is divisible by 6.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93389 [0], given: 10557

Re: If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

28 May 2012, 05:13
Expert's post
3
This post was
BOOKMARKED
If S is a finite set of consecutive even numbers, is the median of S an odd number?

The set of consecutive even integers is an evenly spaced set (aka arithmetic progression). Now, for any evenly spaced set mean=median.

(1) The mean of set S is an even number --> mean=median=even. Sufficient.
(2) The range of set S is divisible by 6 --> if S={0, 2, 4, 6} then median=(2+4)/2=3=odd but if S={0, 2, 4, 6, 8, 10, 12} then median=6=even. Not sufficient.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13494
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

14 Oct 2014, 05:16
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 Club Legend
Joined: 09 Sep 2013
Posts: 13494
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

11 Dec 2016, 22:07
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.
_________________
Intern
Joined: 19 Nov 2016
Posts: 16
Schools: Erasmus '18
Followers: 0

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

Re: If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

19 Dec 2016, 13:17
Hello i have a question here: Regarding statement 1 "the mean of set S is an even number"

it does not define the (evenly spaced) set so.. if the set is { 2 4 6 8 10} median=6(even) mean = 30/5=6
if the set is { 2 4 6 8 10 12} median =(6+8)/2 = 14/2=7(odd) mean=7

I consider statement 1 as INSUFFICIENT since it gives even number or odd number we cannot answer with yes or no

every correction or explanation is welcome!
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 1901
Followers: 49

Kudos [?]: 369 [1] , given: 454

Re: If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

20 Dec 2016, 14:24
1
KUDOS
1
This post was
BOOKMARKED
Great Question.
Here is what i did in this one =>
For consecutive odds => AP series with Common difference =2
Hence Mean = Median = Average of the first and the last terms.
The question is asking us if median is odd.
If median is odd = number of integers in the set must be Even .

Statement 1
Mean = even
But mean = median
Hence Sufficient = NO.

Statement 2=>
Range is divisible by 6
Lest use test cases

0
2
4
6
=> Median = 3 => Odd
0
2
4
6
8
10
12
Median = 6= Even

Hence not sufficient

Hence A

_________________

Mock Test -1 (Integer Properties Basic Quiz) ---> http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1676182

Mock Test -2 (Integer Properties Advanced Quiz) --->http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1765951

Mock Test -2 (Evensand Odds Basic Quiz) --->http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1768023

Give me a hell yeah ...!!!!!

Intern
Joined: 19 Nov 2016
Posts: 16
Schools: Erasmus '18
Followers: 0

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

Re: If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

20 Dec 2016, 14:39
clever one , thank you stonecold !
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 1901
Followers: 49

Kudos [?]: 369 [0], given: 454

Re: If S is a finite set of consecutive even numbers, is the [#permalink]

### Show Tags

20 Dec 2016, 14:45
stampap wrote:
clever one , thank you stonecold !

Similar Question For Practice -->
if-s-is-a-finite-set-of-consecutive-even-numbers-is-the-median-of-s-191875.html?fl=similar
_________________

Mock Test -1 (Integer Properties Basic Quiz) ---> http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1676182

Mock Test -2 (Integer Properties Advanced Quiz) --->http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1765951

Mock Test -2 (Evensand Odds Basic Quiz) --->http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1768023

Give me a hell yeah ...!!!!!

Re: If S is a finite set of consecutive even numbers, is the   [#permalink] 20 Dec 2016, 14:45
Similar topics Replies Last post
Similar
Topics:
Set n is a finite set of integers. Are there any even numbers included 3 20 Apr 2016, 23:38
15 If S is a finite set of consecutive even numbers, is the median of S 11 20 Jan 2015, 06:12
24 Let S be a finite set of consecutive multiples of 7. 7 28 Jun 2013, 21:03
7 Set K consists of a finite number of consecutive odd 5 25 Oct 2009, 00:13
10 If S is a finite set of consecutive even numbers, is the 6 16 Jun 2007, 19:53
Display posts from previous: Sort by