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 350,000 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:

At a certain pizza parlor, the diameter of a large pizza is [#permalink]
10 Oct 2012, 10:04

2

This post received KUDOS

Expert's post

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

67% (08:20) correct
33% (00:58) wrong based on 218 sessions

At a certain pizza parlor, the diameter of a large pizza is 40% larger than the diameter of a small pizza. What is the percent increase in total amount of pizza, from a small to a large?

Re: At a certain pizza parlor, the diameter [#permalink]
10 Oct 2012, 10:18

1

This post received KUDOS

Let the pizzas be thin crust! Not considering height.

Small : diameter x, radius x/2, area (total amount of pizza) = pi * (x/2)^2 Large : diameter 1.4x, radius 1.4x/2, area (total amount of pizza) = pi * (1.4x/2)^2 = (1.4)^2 * area of small pizza = 1.96 * area of small pizza

Re: At a certain pizza parlor, the diameter [#permalink]
10 Oct 2012, 10:38

1

This post received KUDOS

Expert's post

mikemcgarry wrote:

At a certain pizza parlor, the diameter of a large pizza is 40% larger than the diameter of a small pizza. What is the percent increase in total amount of pizza, from a small to a large? (A) 20% (B) 40% (C) 64% (D) 80% (E) 96%

We need to find by what percent is the area of big pizza greater than the area of small pizza.

Since D (diameter) in the area formula is squared (\(area=\frac{\pi*d^2}{4}\)), then 40% increase in diameter, or increase 1.4 times, would be equivalent to 1.4^2=1.96 times increase in the area, which is the same as 96% increase.

Re: At a certain pizza parlor, the diameter [#permalink]
23 Nov 2013, 01:01

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. _________________

Re: At a certain pizza parlor, the diameter of a large pizza is [#permalink]
13 Dec 2013, 09:45

At a certain pizza parlor, the diameter of a large pizza is 40% larger than the diameter of a small pizza. What is the percent increase in total amount of pizza, from a small to a large?

If A = pi (r)^2 the A = pi (1/2d) ^2 Area (small) = pi (1/2d)^2 Area (small) = pi (1/4d)

Area (large) = pi (1/2*1.4d)^2 Area (large) = pi (1/2*7/5d)^2 Area (large) = pi (49/100d)

So, the radius of the large pizza is roughly 50% larger than the smaller pizza. If we plug in a number for d we can see the difference in sizes. Area (small) = pi (1/4d) Area (small) = pi (1/4 * 36) Area (small) = pi(9)

Area (large) = pi (49/100d) Area (large) = pi (49/100 * 36) Area (large) = pi(18)

Therefore the area of the larger pizza is approximately 100% greater.

Good news for globetrotting MBAs: travel can make you a better leader. A recent article I read espoused the benefits of traveling from a managerial perspective, stating that it...