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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]

Show Tags

27 Feb 2013, 04:14

2

This post received KUDOS

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

85% (hard)

Question Stats:

51% (03:04) correct
49% (02:12) wrong based on 238 sessions

HideShow timer Statistics

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

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.

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]

Show Tags

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

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]

Show Tags

23 Sep 2014, 05:38

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]

Show Tags

23 Sep 2014, 06:20

Bunuel wrote:

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.

\(r=4\sqrt{3}=6.9282....\).

The maximum width for the crust possible = R - r = 8 - 6.9282... = 1.0717.... inches. -----> 1,1 width would make the surface area covered with topping less than 75%

Answer: A

I know this might be picky, but shouldn't OA be A ? Does GMAT give these possible answers where rounding errors become very important Please fill me in case Im missing something (which I probably do)
_________________

Feel free to message if you have any questions :D

Last edited by TehMoUsE on 23 Sep 2014, 06:26, edited 1 time in total.

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.

\(r=4\sqrt{3}\={6.9282....}\).

The maximum width for the crust possible = R - r = 8 - 6.9282... = 1.0717.... inches. -----> 1,1 width would make the surface area covered with topping less than 75%

Answer: A

I know this might be picky, but shouldn't OA be A ?

The approximate maximum is 1.1 inches.
_________________

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]

Show Tags

31 May 2015, 11:01

Bunuel wrote:

TehMoUsE wrote:

Bunuel wrote:

The approximate maximum is 1.1 inches.

I understand that, but the question doesn't say anything about approximations.

Is it silently implied in GMAT that you round up to the closest number, even tho it would give you the "wrong" answer?

Word "approximate" is missing there. It should be "what is the approximate maximum width you can expect to see for the crust?"

I think the keyword here is "at least" so, if 75% calculation comes to 1.08 we have no choice but to round up and select the closest, which in this case is 1.10 and not 1.06, which will breach the requirement of "at least 75%".. Lemme know your views. Thanks.

gmatclubot

Re: Marty's Pizza Shop guarantees that their pizzas all have a
[#permalink]
31 May 2015, 11:01

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...