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

It is currently 24 Jul 2014, 11:20

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

Foodmart customers regularly buy at least one of the followi

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 09 Feb 2010
Posts: 71
Followers: 0

Kudos [?]: 10 [0], given: 4

Foodmart customers regularly buy at least one of the followi [#permalink] New post 02 Sep 2010, 07:47
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (01:36) correct 17% (01:17) wrong based on 24 sessions
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?

A. 5%
B. 10%
C. 15%
D. 25%
E. 30%
[Reveal] Spoiler: OA
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18724
Followers: 3239

Kudos [?]: 22333 [0], given: 2615

Re: Venn diagram question [#permalink] New post 02 Sep 2010, 08:19
Expert's post
zest4mba wrote:
Can someone solve this using a venn diagram

Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
5%
10%
15%
25%
30%


100%={customers who buy milk}+{customers who buy chicken}+{customers who buy apples} - {customer who buy exactly 2 products} - 2*{customers who by exactly 3 products}+{customers who buy neither of the products}

100=60+50+35-x-2*10+0 --> x=25.

Answer: D.

For more about the formulas for 3 overlapping sets please see my post at: formulae-for-3-overlapping-sets-69014.html?hilit=rather%20memorize

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

1 KUDOS received
Manager
Manager
avatar
Joined: 21 Aug 2009
Posts: 54
Followers: 1

Kudos [?]: 7 [1] , given: 19

Re: Venn diagram question [#permalink] New post 02 Sep 2010, 08:26
1
This post received
KUDOS
60-(x+10+z) + 50-(x+10+y) + 35-(z+10+y) + x + +y + z +10 = 100

where x = people who bought Milk & Chicken
y = people who bought chicken & Apples
z= people who bought Milk and Apples
x+y+z= the number of people who bought just exactly two products.

Hence solving the above equation we get,

125 -(x+y+z) = 100
Thus, x+y+z= 25
Manager
Manager
avatar
Joined: 23 Apr 2010
Posts: 140
Location: Tx
Schools: NYU,UCLA,BOOTH,STANFORD
Followers: 1

Kudos [?]: 7 [0], given: 36

GMAT Tests User
Re: Venn diagram question [#permalink] New post 02 Sep 2010, 08:27
Kudos to you guyz...
_________________

This is not finished here...Watch me.....


Last edited by fatihaysu on 03 Sep 2010, 02:13, edited 1 time in total.
Manager
Manager
avatar
Joined: 09 Feb 2010
Posts: 71
Followers: 0

Kudos [?]: 10 [0], given: 4

Re: Venn diagram question [#permalink] New post 03 Sep 2010, 10:07
Hi Bunuel

I was looking at this post

formulae-for-3-overlapping-sets-69014.html?hilit=rather%20memorize

Can you tell me the above question of milk, chicken and apples would be as per which of the below points and how

1. For 3 sets A, B, and C: P(A u B u C) : P(A) + P(B) + P(C) – P(A n B) – P(A n C) – P(B n C) + P(A n B n C)

2. To determine the No of persons in exactly one set : P(A) + P(B) + P(C) – 2P(A n B) – 2P(A n C) – 2P(B n C) + 3P(A n B n C)

3. To determine the No of persons in exactly two of the sets : P(A n B) + P(A n C) + P(B n C) – 3P(A n B n C)

4. To determine the No of persons in exactly three of the sets : P(A n B n C)

5. To determine the No of persons in two or more sets (at least 2 sets) : P(A n B) + P(A n C) + P(B n C) – 2P(A n B n C)
Re: Venn diagram question   [#permalink] 03 Sep 2010, 10:07
    Similar topics Author Replies Last post
Similar
Topics:
3 Foodmart customers regularly buy at least one of the study 3 29 Oct 2008, 07:59
1 Foodmart customers regularly buy at least one of the redbeanaddict 8 28 Sep 2008, 23:45
Experts publish their posts in the topic Foodmart customers regularly buy at least one of the marcodonzelli 12 27 Jan 2008, 22:20
Foodmart customers regularly buy at least one of the bmwhype2 8 27 Nov 2007, 04:59
Foodmart customers regularly buy at least one of the Natalya Khimich 3 23 Aug 2006, 08:28
Display posts from previous: Sort by

Foodmart customers regularly buy at least one of the followi

  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®.