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

 It is currently 23 Jul 2016, 08:39

### 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

# Set S contains exactly four distinct positive integers. Is t

Author Message
TAGS:

### Hide Tags

Current Student
Status: Never ever give up on yourself.Period.
Joined: 23 Aug 2012
Posts: 152
Location: India
Concentration: Finance, Human Resources
GMAT 1: 570 Q47 V21
GMAT 2: 690 Q50 V33
GPA: 3.5
WE: Information Technology (Investment Banking)
Followers: 10

Kudos [?]: 263 [0], given: 35

Set S contains exactly four distinct positive integers. Is t [#permalink]

### Show Tags

07 Jan 2013, 06:42
4
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

69% (02:47) correct 31% (01:55) wrong based on 120 sessions

### HideShow timer Statistics

Set S contains exactly four distinct positive integers. Is the mean of S equal to the median of S?

(1) The smallest term in S is equal to the sum of the two middle terms minus the largest term in S.
(2) When the range of S is added to the sum of all the terms in S, the resulting sum is equal to the smallest term in S plus three times the largest term in S.
[Reveal] Spoiler: OA

_________________

Don't give up on yourself ever. Period.
Beat it, no one wants to be defeated (My journey from 570 to 690) : http://gmatclub.com/forum/beat-it-no-one-wants-to-be-defeated-journey-570-to-149968.html

Last edited by Bunuel on 07 Jan 2013, 10:30, edited 1 time in total.
Edited the OA.
VP
Status: Been a long time guys...
Joined: 03 Feb 2011
Posts: 1420
Location: United States (NY)
Concentration: Finance, Marketing
GPA: 3.75
Followers: 169

Kudos [?]: 1141 [0], given: 62

Re: Set S contains exactly four distinct positive integers. Is t [#permalink]

### Show Tags

07 Jan 2013, 08:03
daviesj wrote:
Set S contains exactly four distinct positive integers. Is the mean of S equal to the median of S?

(1) The smallest term in S is equal to the sum of the two middle terms minus the largest term in S.
(2) When the range of S is added to the sum of all the terms in S, the resulting sum is equal to the
smallest term in S plus three times the largest term in S.

Let the 4 distinct integers be w,x,y and z, where these are arranged in ascending order.
Mean of S=(w+x+y+z)/4
Median of S= (x+y)/2
The question is asking whether (w+x+y+z)/4=(x+y)/2? or is (w+x+y+z)=2x +2y or Is $$w+z=x+y?$$

Statement 1)
$$w=x+y-z$$ or $$w+z=x+y$$.
Sufficient

Statement 2)
Range=z-w
When this range is added to sum of all the terms in S, then the resulting sum is equal to the smallest term in S plus three times the largest term in S.
(z-w)+(w+x+y+z)= w+3z
The above can be rewritten as (x+y+2z)=w+3z or $$x+y=w+z$$.
This is what statement 1 is saying.
Sufficient.

IMO the answer has to be D and not C.
_________________
Current Student
Status: Never ever give up on yourself.Period.
Joined: 23 Aug 2012
Posts: 152
Location: India
Concentration: Finance, Human Resources
GMAT 1: 570 Q47 V21
GMAT 2: 690 Q50 V33
GPA: 3.5
WE: Information Technology (Investment Banking)
Followers: 10

Kudos [?]: 263 [0], given: 35

Re: Set S contains exactly four distinct positive integers. Is t [#permalink]

### Show Tags

07 Jan 2013, 10:16
1
This post was
BOOKMARKED
oh yes...D is the answer......can't edit via mobile though..

Posted from my mobile device
_________________

Don't give up on yourself ever. Period.
Beat it, no one wants to be defeated (My journey from 570 to 690) : http://gmatclub.com/forum/beat-it-no-one-wants-to-be-defeated-journey-570-to-149968.html

Current Student
Joined: 21 Oct 2013
Posts: 194
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Followers: 1

Kudos [?]: 29 [0], given: 19

Re: Set S contains exactly four distinct positive integers. Is t [#permalink]

### Show Tags

22 Jul 2014, 03:43
If mean = median then you have an evenly spaced set. So question is "is S an evenly spaced set?"

(1) This a property of an evenly spaced set. (you can test if you like). Suff.
(2) Also a property of an evenly spaced set. (Test once more..) Suff.

Ans. D.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 10560
Followers: 495

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

Re: Set S contains exactly four distinct positive integers. Is t [#permalink]

### Show Tags

09 Feb 2016, 01:09
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: Set S contains exactly four distinct positive integers. Is t   [#permalink] 09 Feb 2016, 01:09
Similar topics Replies Last post
Similar
Topics:
1 If n is a positive integer, does n have four or more distinct factors? 4 13 Jul 2016, 10:50
6 If n is a positive integer, does n have four or more distinct factors? 11 18 Mar 2015, 05:03
If the average of four distinct positive integers is 60 10 08 Sep 2012, 10:32
2 Is the average of a set of 5 distinct positive integers { a 3 28 Sep 2011, 10:12
3 If the average of four distinct positive integers is 60, how 9 04 Sep 2009, 18:50
Display posts from previous: Sort by