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

It is currently 28 Jul 2014, 00:18

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

All coffee mixtures sold in a store contain Columbian (C),

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 11 Jun 2006
Posts: 4
Followers: 0

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

All coffee mixtures sold in a store contain Columbian (C), [#permalink] New post 06 Jul 2006, 17:17
All coffee mixtures sold in a store contain Columbian (C), Jamaican (J) or Brazilian (B) coffee of some combination of these. Of all mixtures, 33 contain C coffee, 43 contain J coffee, and 42 contain B coffee. Of these, 16 contain at least C and J coffees. 18 contain at least J and B coffees, 8 contain at least B and C coffees and 5 contain all three. How many different coffee mixtures are there?

a. 45
b. 56
c. 76
d. 81
e. 86

Can anyone out there explain...please.
Senior Manager
Senior Manager
User avatar
Joined: 07 Jul 2005
Posts: 406
Location: Sunnyvale, CA
Followers: 2

Kudos [?]: 2 [0], given: 0

GMAT Tests User
 [#permalink] New post 06 Jul 2006, 17:38
81 = (D)

A + B + C -AB -BC -CA + ABC
33 + 43 + 42 - 16 - 18 - 8 + 5
= 81

You need to visualize this thru' a venn diagram.
Intern
Intern
avatar
Joined: 03 Jan 2006
Posts: 27
Followers: 0

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

 [#permalink] New post 06 Jul 2006, 19:02
It is provided that there are 5 flavors containing all 3 cofee
Thus CBJ = 5....................(1)
Now if we work backwards from here:
It is also provided that
Flavor containing atleast C & J = 16 (This includes CBJ)

Thus Flavors contain ONLY C & J = 16 - 5 = 11.......(2)

Similarly
Flavors containing ONLY B & J = 18 - 5 = 13.........(3)
Flavors containing ONLY C & B = 8 - 5 = 3.........(4)

Again working backwards:
It is provided that
Flavors containing ATLEAST C = 33

Thus,
Flavors containing ONLY C = Flavors containing ATLEAST C -
Flavors containing ATLEAST C & J - Flavors containing ATLEAST C & B - Flavors containing C, B & J
=> Flavors containing ONLY C = 33-11-3-5 = 14..............(5)

Similarly
Flavors containing ONLY B = 21...................(6)
Flavors containing ONLY J = 14...................(7)

Adding all 7 equations should yield 81 which is option D.

This is more easily explained using diagrams.....but I made an effort to explain through text. I hope this helps...........
CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2922
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 13

Kudos [?]: 75 [0], given: 0

GMAT Tests User
 [#permalink] New post 06 Jul 2006, 20:41
D

All = A+B+C-AB-BC-CA+ABC
= 33+43+42-16-18-8+5 = 81
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Intern
Intern
avatar
Joined: 11 Jun 2006
Posts: 4
Followers: 0

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

 [#permalink] New post 07 Jul 2006, 12:43
Having trouble with venn diagrams in general and visualizing the question. Also, I'm not sure when to use a Venn and when to just use probability equations...e.g. P(a or b)=p(a) +p(b) - p(a and b)...

How about these 3 problems:

75% of students in class answered question #1 correct. 55% in class got q#2 correct. 20% got neither correct. How many students answered both q1 and q2 correct?
a. 30%
b. 45%
c. 50%
d. 60%
e. 75%

____________

Of 20 adults, 5 belong to club x, 7 to club y, and 9 to club z. If 2 belong to all three organizations and 3 belong to exactly two organizations, how many belong to none of these organizations?
a. 1
b 2
c 4
d 6
e 11

____________

In a consumer survey, 85% of those surveyed liked at least one of the three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three products, what percentage of the survey participants liked more than one of the three products?
a 5
b 10
c 15
d 20
e 25

Do you guys recommend any good websites to visit for Venn help?
  [#permalink] 07 Jul 2006, 12:43
    Similar topics Author Replies Last post
Similar
Topics:
all coffee mixtures sold in a store contain colombian, pman 2 28 Mar 2007, 09:25
In a department store, all wine glasses are sold at the same kevincan 4 26 Nov 2006, 07:55
In a department store, all wine glasses are sold at the same kevincan 9 19 Sep 2006, 02:30
In a department store, all wine glasses are sold at the same kevincan 2 09 Jul 2006, 01:21
All coffee mixtures sold in a store contain colombian, govinam 5 20 May 2006, 17:45
Display posts from previous: Sort by

All coffee mixtures sold in a store contain Columbian (C),

  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®.