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

It is currently 20 Aug 2014, 06:38

Starting Soon:

Live Q&A Session with Cambridge Admissions Team   ||    Join Chat Room to Attend the Session


Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Club # of Students Chess 40 Drama 30 Math 25 The table

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 26 Dec 2007
Posts: 70
Followers: 1

Kudos [?]: 8 [0], given: 0

Club # of Students Chess 40 Drama 30 Math 25 The table [#permalink] New post 07 Jan 2008, 18:35
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:15) wrong based on 4 sessions
Club # of Students
Chess 40
Drama 30
Math 25

The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, 10 students are in both Chess and Drama, 5 students are in both Chess and Math, and 6 students are in both Drama and Math. How Many different students are in the three clubs?

68
69
74
79
84

This problem can be solved by setting up a venn diagram. However, I was wondering how you could solve by setting up an equation (if that's even possible).
Manager
Manager
User avatar
Joined: 04 Jan 2008
Posts: 85
Followers: 1

Kudos [?]: 10 [0], given: 0

Re: OG PS #179 - Students question [#permalink] New post 07 Jan 2008, 18:52
74 is the answer.
Use the equation,
n(atleast one)= N(A)+N(B)+N(C)-N(exactly two)- 2N(ALL THREE)
total diff students= 40+30+25-10-5-6= 74 ( we are given no tudent attens all three)
Manager
Manager
avatar
Joined: 26 Dec 2007
Posts: 70
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: OG PS #179 - Students question [#permalink] New post 07 Jan 2008, 18:55
n(atleast one)

What does "atleast one" mean?
Manager
Manager
User avatar
Joined: 04 Jan 2008
Posts: 85
Followers: 1

Kudos [?]: 10 [0], given: 0

Re: OG PS #179 - Students question [#permalink] New post 08 Jan 2008, 10:21
it means, no of students in atleast one club= no of different students
Intern
Intern
avatar
Joined: 07 Jan 2008
Posts: 21
Followers: 0

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

Re: OG PS #179 - Students question [#permalink] New post 08 Jan 2008, 10:35
n(C) = 40
n(D) = 30
n(M) = 25
n(C & D) = 10
n(C & M) = 5
n(D & M) = 6
n(C & D & M) = 0

Total = n(C) + n(D) + n(M) - n(C & D) - n(C & M) - n(D & M) + n(C & D & M) = 74
Re: OG PS #179 - Students question   [#permalink] 08 Jan 2008, 10:35
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic Students are in clubs as follows: Science-20, Drama-30 jlgdr 2 20 Sep 2013, 15:34
4 Experts publish their posts in the topic There are 5 chess amateurs playing in Villa's chess club Smita04 9 07 Feb 2012, 20:36
2 GMAT Club Tests (25 Math + 6 Verbal) Praetorian 0 28 Nov 2007, 16:21
1 Of the 45 students in a certain class, 30 joined math club, bkk145 12 26 Sep 2007, 18:49
CLUB Number of students chess 40 drama 30 math 25 The table vprabhala 3 25 Jan 2005, 20:32
Display posts from previous: Sort by

Club # of Students Chess 40 Drama 30 Math 25 The table

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.