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

It is currently 20 Aug 2014, 20:31

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

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 09 Feb 2013
Posts: 121
Followers: 1

Kudos [?]: 205 [0], given: 17

Marty's Pizza Shop guarantees that their pizzas all have a [#permalink] New post 27 Feb 2013, 03:14
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (03:06) correct 42% (02:19) wrong based on 79 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, 04:19, edited 1 time in total.
Edited the question.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 19030
Followers: 3361

Kudos [?]: 24414 [0], given: 2677

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink] New post 27 Feb 2013, 05:17
Expert's post
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.
_________________

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

Manager
Manager
User avatar
Joined: 07 Feb 2011
Posts: 89
Followers: 0

Kudos [?]: 13 [0], given: 43

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink] New post 03 Mar 2013, 05:50
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: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 14

Kudos [?]: 187 [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, 20:07
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
_________________

Impossible is nothing to God.

Re: Marty's Pizza Shop guarantees that their pizzas all have a   [#permalink] 03 Mar 2013, 20:07
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic Chicago-style" deep-dish pizza must have its crust, mun23 10 23 Feb 2013, 23:12
Balancing a pizza with one hand and having gripped a fameatop 5 11 Jan 2013, 03:30
4 Experts publish their posts in the topic At a certain pizza parlor, the diameter of a large pizza is mikemcgarry 6 10 Oct 2012, 10:04
At a Pizza Parlor, in addition to cheese there are 10 vshaunak@gmail.com 5 23 Jun 2007, 05:05
DS - Pizza gk3.14 6 13 Dec 2006, 10:06
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.