It is currently 12 Dec 2017, 07:09

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Of an entire rectangular farmland 8m by 10m, Rogers wants to

Author Message
TAGS:

### Hide Tags

Director
Joined: 21 Dec 2009
Posts: 580

Kudos [?]: 853 [0], given: 20

Concentration: Entrepreneurship, Finance
Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]

### Show Tags

01 Nov 2012, 14:51
5
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:19) correct 38% (01:58) wrong based on 130 sessions

### HideShow timer Statistics

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
[Reveal] Spoiler: OA

_________________

KUDOS me if you feel my contribution has helped you.

Last edited by Bunuel on 01 Nov 2012, 14:57, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 853 [0], given: 20

Math Expert
Joined: 02 Sep 2009
Posts: 42563

Kudos [?]: 135345 [3], given: 12688

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]

### Show Tags

01 Nov 2012, 15:06
3
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 1991 times ]
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.

Hope it's clear.
_________________

Kudos [?]: 135345 [3], given: 12688

Director
Joined: 21 Dec 2009
Posts: 580

Kudos [?]: 853 [0], given: 20

Concentration: Entrepreneurship, Finance
Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]

### Show Tags

01 Nov 2012, 15:28
got confused by the word "circular space", but now am clear.
Thanks Bunuel.
_________________

KUDOS me if you feel my contribution has helped you.

Kudos [?]: 853 [0], given: 20

Senior Manager
Joined: 27 May 2012
Posts: 427

Kudos [?]: 90 [0], given: 487

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]

### Show Tags

19 Nov 2012, 04:35
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.

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?
_________________

- Stne

Kudos [?]: 90 [0], given: 487

Intern
Joined: 26 Sep 2012
Posts: 6

Kudos [?]: 1 [0], given: 15

Schools: CBS '15 (M)
GMAT Date: 11-27-2012
Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]

### Show Tags

20 Nov 2012, 05:42

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.

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?

Kudos [?]: 1 [0], given: 15

Senior Manager
Joined: 27 May 2012
Posts: 427

Kudos [?]: 90 [0], given: 487

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]

### Show Tags

21 Nov 2012, 08:12
fastcompany wrote:

@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

Kudos [?]: 90 [0], given: 487

Non-Human User
Joined: 09 Sep 2013
Posts: 14901

Kudos [?]: 287 [0], given: 0

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to [#permalink]

### Show Tags

19 Aug 2017, 03:38
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.
_________________

Kudos [?]: 287 [0], given: 0

Re: Of an entire rectangular farmland 8m by 10m, Rogers wants to   [#permalink] 19 Aug 2017, 03:38
Display posts from previous: Sort by