Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 01:33

### 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

# Each of three charities in Novel Grove Estates has 8 persons

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

### Hide Tags

Intern
Joined: 19 Dec 2010
Posts: 28
Followers: 0

Kudos [?]: 17 [0], given: 4

Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

30 Jan 2011, 19:26
12
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

69% (03:10) correct 31% (02:17) wrong based on 144 sessions

### HideShow timer Statistics

Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?

A. 8
B. 13
C. 16
D. 24
E. 27
[Reveal] Spoiler: OA

Attachments

Overlapping Problem.jpg [ 12.62 KiB | Viewed 3417 times ]

Problem.pdf [24.45 KiB]

Last edited by Bunuel on 13 Aug 2014, 07:56, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Intern
Joined: 19 Dec 2010
Posts: 28
Followers: 0

Kudos [?]: 17 [0], given: 4

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

30 Jan 2011, 19:51
Sorry, the answer is 13. I know that this question can be found in the forum, but I'd like to know if there's a way (such as using the standard overlapping set equation) to attack the problem other than by drawing out each of the three groups!

Thanks so much!
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7373
Location: Pune, India
Followers: 2287

Kudos [?]: 15103 [3] , given: 224

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

31 Jan 2011, 21:26
3
KUDOS
Expert's post
4
This post was
BOOKMARKED
m990540 wrote:
Sorry, the answer is 13. I know that this question can be found in the forum, but I'd like to know if there's a way (such as using the standard overlapping set equation) to attack the problem other than by drawing out each of the three groups!

Thanks so much!

You can use the formula for 3 sets:
n(AUBUC) = n(A) + n(B) + n (C) - n(A and B) - n(B and C) - n(C and A) + n(A and B and C)

n(AUBUC) = 8 + 8 + 8 - 5 - 5 -5 + 4 = 13

Though, why would you not try using the Venn diagram for 3 overlapping sets. This question is relatively straight forward so the formula is no problem, but with the Venn diagram, it doesn't matter how much you twist the question, the answer is still apparent....
I am attaching it in case you would like to give it a look...
Attachment:

Ques2.jpg [ 10.5 KiB | Viewed 3362 times ]

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Math Expert
Joined: 02 Sep 2009
Posts: 38859
Followers: 7728

Kudos [?]: 106076 [0], given: 11607

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

01 Feb 2011, 03:08
m990540 wrote:
Hello,

Here's an overlapping set question that I came across and obviously got wrong.

Thanks in advance to anyone who can help me sort this one out!

Check this link for different formulas on 3 overlapping sets (theory and examples): formulae-for-3-overlapping-sets-69014.html#p729340
_________________
Intern
Joined: 19 Dec 2010
Posts: 28
Followers: 0

Kudos [?]: 17 [0], given: 4

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

01 Feb 2011, 06:50
Wow, thanks for the great explanations and link!
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15434
Followers: 649

Kudos [?]: 208 [0], given: 0

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

05 Aug 2014, 20:20
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.
_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 51

Kudos [?]: 2168 [1] , given: 193

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

05 Aug 2014, 21:51
1
KUDOS
Distinct persons means addition of all colours (As per diagram below)

= 2+1+4+1+2+1+2

= 13

Attachments

Ques2.jpg [ 16.69 KiB | Viewed 2023 times ]

_________________

Kindly press "+1 Kudos" to appreciate

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15434
Followers: 649

Kudos [?]: 208 [0], given: 0

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

12 Aug 2015, 04:30
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.
_________________
Manager
Joined: 10 Jun 2015
Posts: 128
Followers: 1

Kudos [?]: 26 [0], given: 0

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

14 Aug 2015, 01:52
m990540 wrote:
Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?

A. 8
B. 13
C. 16
D. 24
E. 27

A intersec B intersec C = 4
A intersec B but not C = 1
B intersec C but not A = 1
C intersec A but not B = 1
A only is 2; B only is 2; C only is 2
Therefore, total 13 members serve on one or more boards of directors.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15434
Followers: 649

Kudos [?]: 208 [0], given: 0

Re: Each of three charities in Novel Grove Estates has 8 persons [#permalink]

### Show Tags

03 Oct 2016, 19:08
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: Each of three charities in Novel Grove Estates has 8 persons   [#permalink] 03 Oct 2016, 19:08
Similar topics Replies Last post
Similar
Topics:
3 A book store has received 8 different books, of which 3/8 are novels, 3 24 May 2017, 23:39
1 The present ages of three persons are in the proportion of 5:8:7 3 18 Feb 2017, 23:41
4 Beth has a collection of 8 boxes of clothing for a charity, and the av 5 24 May 2017, 11:33
3 Three business people wish to invest in a new company. Each person is 3 19 Jan 2016, 21:00
2 A software company named Hardsoft has three divisions, each staffed by 4 18 Jun 2010, 12:07
Display posts from previous: Sort by

# Each of three charities in Novel Grove Estates has 8 persons

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

 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®.