Last visit was: 22 Dec 2024, 08:09 It is currently 22 Dec 2024, 08:09
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Suppose five circles, each 4 inches in diameter, are cut fro

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30460
Own Kudos [?]: 36816 [4]
Given Kudos: 26100
Send PM
Suppose five circles, each 4 inches in diameter, are cut fro [#permalink] New post   25 Mar 2019, 11:41
Expert Reply
4
Bookmarks
00:00

Question Stats:

51% (01:18) correct 48% (01:54) wrong based on 45 sessions

Hide Show timer Statistics

Suppose five circles, each 4 inches in diameter, are cut from a rectangular strip of paper 12 inches long. If the least amount of paper is to be wasted, what is the width of the paper strip?

(A) \(5\)

(B) \(4+2\sqrt{3}\)

(C) \(8\)

(D) \(4(1+ \sqrt{3})\)

(E) not enough information
ShowHide Answer
Official Answer
B
avatar
JelalHossain
Intern
Intern
Joined: 12 Nov 2018
Posts: 25
Own Kudos [?]: 15 [0]
Given Kudos: 0
Send PM
Re: Suppose five circles, each 4 inches in diameter, are cut fro [#permalink] New post   09 May 2019, 06:29
1
5*4Pi/12=possible width of the rectangle
avatar
shreyaguha005
Intern
Intern
Joined: 06 Aug 2020
Posts: 15
Own Kudos [?]: 4 [1]
Given Kudos: 0
Send PM
Re: Suppose five circles, each 4 inches in diameter, are cut fro [#permalink] New post   12 Aug 2020, 04:49
1
JelalHossain wrote:
5*4Pi/12=possible width of the rectangle



Can you provide the solution please?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30460
Own Kudos [?]: 36816 [2]
Given Kudos: 26100
Send PM
Re: Suppose five circles, each 4 inches in diameter, are cut fro [#permalink] New post   12 Aug 2020, 05:29
1
1
Expert Reply
To have the strip at its maximum height the figure looks like the following

Attachment:
GRE circles.png
GRE circles.png [ 2.53 KiB | Viewed 3325 times ]


The circles are connected at the centers thanks to an equilateral triangle


Attachment:
GRE circles (2).png
GRE circles (2).png [ 4.39 KiB | Viewed 3588 times ]


H is the following

Attachment:
GRE circles (3).png
GRE circles (3).png [ 1.63 KiB | Viewed 3620 times ]


so the height is \(h=2\sqrt{3}\)


Adding to this the distances on top and at the bottom of the triangle


Attachment:
GRE circles (4).png
GRE circles (4).png [ 4.83 KiB | Viewed 3633 times ]


we do have \(4+2\sqrt{3}\)

B is the answer
avatar
shreyaguha005
Intern
Intern
Joined: 06 Aug 2020
Posts: 15
Own Kudos [?]: 4 [0]
Given Kudos: 0
Send PM
Re: Suppose five circles, each 4 inches in diameter, are cut fro [#permalink] New post   12 Aug 2020, 05:35
Carcass wrote:
To have the strip at its maximum height the figure looks like the following

Attachment:
GRE circles.png


The circles are connected at the centers thanks to an equilateral triangle


Attachment:
GRE circles (2).png


H is the following

Attachment:
GRE circles (3).png


so the height is \(h=2\sqrt{3}\)


Adding to this the distances on top and at the bottom of the triangle


Attachment:
GRE circles (4).png


we do have \(4+2\sqrt{3}\)

B is the answer




How can you draw the maximum width without knowing the width? The max width cannot be known and thus the maximum number of circles too can’t be known.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30460
Own Kudos [?]: 36816 [0]
Given Kudos: 26100
Send PM
Re: Suppose five circles, each 4 inches in diameter, are cut fro [#permalink] New post   12 Aug 2020, 05:37
Expert Reply
My apologize

I wanted to say at minimum :)
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5088
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: Suppose five circles, each 4 inches in diameter, are cut fro [#permalink] New post   20 Sep 2022, 07:58
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: Suppose five circles, each 4 inches in diameter, are cut fro [#permalink]
20 Sep 2022, 07:58
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact