Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 19 Jun 2013, 04:18
Customize  |  Hide

Search
Register
New posts
Unanswered

Marty's Pizza Shop guarantees that their pizzas all have a

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
Joined: 09 Feb 2013
Posts: 122
Followers: 1

Kudos [?]: 70 [0], given: 17

Marty's Pizza Shop guarantees that their pizzas all have a [#permalink] New post 27 Feb 2013, 04:14
00:00

Question Stats:

47% (03:06) correct 52% (01:58) wrong based on 42 sessions
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches
[Reveal] Spoiler: OA

_________________

Kudos will encourage many others, like me.
Good Questions also deserve few KUDOS.


Last edited by Bunuel on 27 Feb 2013, 05:19, edited 1 time in total.
Edited the question.
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 12104
Followers: 1879

Kudos [?]: 10119 [0], given: 961

GMAT Tests User CAT Tests
Top Member of the Month
Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink] New post 27 Feb 2013, 06:17
emmak wrote:
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches


The area of 16 inches pizza is \pi{R^2}=8^2\pi=64\pi.

The minimum area covered with toppings is \frac{3}{4}*64\pi=48\pi --> the radius of the toppings is \pi{r^2}=48\pi --> r=4\sqrt{3}\approx{6.9}.

The maximum width for the crust possible = R - r = 8 - 6.9 = 1.1 inches.

Answer: B.
_________________

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

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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

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. NEW!!!, 11 New DS set. NEW!!!


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

Find out what's new at GMAT Club - latest features and updates

Manager
Manager
User avatar
Joined: 07 Feb 2011
Posts: 88
Followers: 0

Kudos [?]: 5 [0], given: 43

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink] New post 03 Mar 2013, 06:50
Hmmm not an official question and the wording is tough on this
_________________

We appreciate your kudos'

Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 468
Followers: 13

Kudos [?]: 88 [0], given: 11

GMAT ToolKit User GMAT Tests User
Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink] New post 03 Mar 2013, 21:07
emmak wrote:
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches


Total Area = 8 * 8 * pi
Radius = 64 pi

Surface = .75 * 64 * pi = 48 pi
Radius of surface = 4 sqrt (3) ~ 6.8

Radius width = 8 - 6.8 = 1.2

Answer: B
Re: Marty's Pizza Shop guarantees that their pizzas all have a   [#permalink] 03 Mar 2013, 21:07
    Similar topics Author Replies Last post
Similar
Topics:
 New posts In the pizza palace, 95% of the customers order pizza. if araspai 5 09 Oct 2003, 21:57
New posts DS - Pizza gk3.14 6 13 Dec 2006, 11:06
New posts 2 Experts publish their posts in the topic At a certain pizza parlor, the diameter mikemcgarry 2 10 Oct 2012, 11:04
New posts Balancing a pizza with one hand and having gripped a fameatop 3 11 Jan 2013, 04:30
Popular new posts 3 Experts publish their posts in the topic Chicago-style" deep-dish pizza must have its crust, mun23 10 24 Feb 2013, 00:12
Display posts from previous: Sort by

Marty's Pizza Shop guarantees that their pizzas all have a

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: VeritasPrepKarishma, Bunuel, IanStewart

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com