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:

Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]
01 Nov 2012, 13:51

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

64% (02:11) correct
36% (01:49) wrong based on 59 sessions

Of an entire rectangular farmland 8m by 10m, Rogers wants to clear a circular space of radius 1m. If he randomly chooses the center of the circular space, what are the chances that he does not extend beyond the edges of the farmland?

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]
01 Nov 2012, 14:06

2

This post received KUDOS

Expert's post

gmatbull wrote:

Of an entire rectangular farmland 8m by 10m, Rogers wants to clear a circular space of radius 1m. If he randomly chooses the center of the circular space, what are the chances that he does not extend beyond the edges of the farmland?

A. 0.2 B. 0.5 C. 0.6 D. 0.8 E. 1.0

The center of the circle must be at least one meter from any edge of the farmland. Look at the diagram blow:

Attachment:

Farm.png [ 2.14 KiB | Viewed 1143 times ]

If the center is anywhere in the green area, then the circle won't extend beyond the edges.

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]
19 Nov 2012, 03:35

Bunuel wrote:

gmatbull wrote:

Of an entire rectangular farmland 8m by 10m, Rogers wants to clear a circular space of radius 1m. If he randomly chooses the center of the circular space, what are the chances that he does not extend beyond the edges of the farmland?

A. 0.2 B. 0.5 C. 0.6 D. 0.8 E. 1.0

The center of the circle must be at least one meter from any edge of the farmland. Look at the diagram blow:

Attachment:

Farm.png

If the center is anywhere in the green area, then the circle won't extend beyond the edges.

Therefore, P=favorable/total=(8*6)/(10*8)=0.6.

Answer: C.

Hope it's clear.

if I take the favorable area to be 9*7 then how it is wrong ? The circle that needs to be drawn can certainly touch the edge, as long as it does not exceed the edge .

So if I leave a distance of 1 meter from each edge , and draw a circle having radius of 1 meter , then the circumference of the circle will certainly coincide with the edges , but not exceed it . .

According to me 9*7/ 10*8= 63/80=0.78 ->approx - 0.8, Please tell me why this is wrong , what am I missing? _________________

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]
20 Nov 2012, 04:42

I was just about to ask the same question.

stne wrote:

Bunuel wrote:

gmatbull wrote:

Of an entire rectangular farmland 8m by 10m, Rogers wants to clear a circular space of radius 1m. If he randomly chooses the center of the circular space, what are the chances that he does not extend beyond the edges of the farmland?

A. 0.2 B. 0.5 C. 0.6 D. 0.8 E. 1.0

The center of the circle must be at least one meter from any edge of the farmland. Look at the diagram blow:

Attachment:

Farm.png

If the center is anywhere in the green area, then the circle won't extend beyond the edges.

Therefore, P=favorable/total=(8*6)/(10*8)=0.6.

Answer: C.

Hope it's clear.

if I take the favorable area to be 9*7 then how it is wrong ? The circle that needs to be drawn can certainly touch the edge, as long as it does not exceed the edge .

So if I leave a distance of 1 meter from each edge , and draw a circle having radius of 1 meter , then the circumference of the circle will certainly coincide with the edges , but not exceed it . .

According to me 9*7/ 10*8= 63/80=0.78 ->approx - 0.8, Please tell me why this is wrong , what am I missing?

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]
21 Nov 2012, 07:12

fastcompany wrote:

I was just about to ask the same question.

@fast company sometimes we miss simple things. in the farm land we have to take 1 meter from each edge so 1 meter from top, 1 meter from bottom, 1 meter from left, and 1 meter from right . so our favorable space will become (8-2) and (10-2) = 6*8 hence probability will be 48/80=6/10=.6

P.S. initially we were taking the distance from one edge only and wrongly assuming 9*7 as favorable area. it should be clear now, please do ask if anything is still unclear. _________________

- Stne

gmatclubot

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to
[#permalink]
21 Nov 2012, 07:12

On September 6, 2015, I started my MBA journey at London Business School. I took some pictures on my way from the airport to school, and uploaded them on...

When I was growing up, I read a story about a piccolo player. A master orchestra conductor came to town and he decided to practice with the largest orchestra...

We are thrilled to welcome the Class of 2017 to campus today, and data from the incoming class of students indicates that Kellogg’s community is about to reach a...