Find all School-related info fast with the new School-Specific MBA Forum

It is currently 19 Apr 2014, 22:25

Close

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
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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

4965 PS > Geometry > Mixed Shapes How many

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Current Student
User avatar
Joined: 29 Jan 2005
Posts: 5253
Followers: 21

Kudos [?]: 110 [0], given: 0

GMAT Tests User Reviews Badge
4965 PS > Geometry > Mixed Shapes How many [#permalink] New post 05 May 2005, 00:21
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
4965 PS > Geometry > Mixed Shapes

How many non-overlapping circles with circumference 4 can be drawn in a square with side 12?

(A) 81
(B) 36
(C) 12
(D) 9
(E) 3
Manager
Manager
Joined: 19 Nov 2004
Posts: 60
Followers: 1

Kudos [?]: 3 [0], given: 0

 [#permalink] New post 05 May 2005, 02:50
the Answer is (A)=81
circumference=4 means 2*Pi*r=4
r=2/Pi => d=4/Pi The side of the square 12 with should by the diameter
to find how many circles can drawn
12/(4/Pi)=3*Pi=9.something
9 in each row 9 in every column 9*9=81
VP
VP
Joined: 30 Sep 2004
Posts: 1496
Location: Germany
Followers: 4

Kudos [?]: 27 [0], given: 0

GMAT Tests User
 [#permalink] New post 05 May 2005, 13:21
D)...

circumference = diameter = 4 means 1 circle fits in square of area 16. area of square with side 12 is 144. 144/16=9=D)
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Manager
Manager
Joined: 05 May 2005
Posts: 92
Location: Kyiv, Ukraine
Followers: 1

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

 [#permalink] New post 05 May 2005, 14:16
is it 4 or 4П? that makes a whole lot of difference.
Manager
Manager
Joined: 19 Nov 2004
Posts: 60
Followers: 1

Kudos [?]: 3 [0], given: 0

 [#permalink] New post 05 May 2005, 22:28
I hope it'll be useful for you :)
http://www.math.com/tables/geometry/circles.htm

circumference: the distance around the circle
Circumference of Circle = PI x diameter = 2 PI x radius

So I insisted on 81 (A)
Director
Director
User avatar
Joined: 01 Feb 2003
Posts: 854
Location: Hyderabad
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
 [#permalink] New post 05 May 2005, 22:38
Area of sq = 12*12
Area of Circle = 4/pi ^ 2

number of non-overlapping circles = 36* pi ^2

IMO AC's or the question is not correct.

B will be my guess
CIO
CIO
User avatar
Joined: 09 Mar 2003
Posts: 466
Followers: 1

Kudos [?]: 21 [0], given: 0

GMAT Tests User
 [#permalink] New post 05 May 2005, 23:13
i'm agreeing with lovely. I think it's 81, A.

The diameter of each circle is 3pi, and if the side of the square is 12, then no more than nine circles can line up on a side. That's nine in each direction, which means 81 all together.
CIO
CIO
User avatar
Joined: 09 Mar 2003
Posts: 466
Followers: 1

Kudos [?]: 21 [0], given: 0

GMAT Tests User
 [#permalink] New post 06 May 2005, 05:39
lovely_baby wrote:
To Ian7777
isn't the diametr=4/Pi


absolutely. thats what's on my paper. I just copied it wrong.

sorry 'bout that... :oops:
Director
Director
Joined: 27 Dec 2004
Posts: 910
Followers: 1

Kudos [?]: 9 [0], given: 0

GMAT Tests User
 [#permalink] New post 06 May 2005, 05:59
ian7777 wrote:
i'm agreeing with lovely. I think it's 81, A.

The diameter of each circle is 3pi, and if the side of the square is 12, then no more than nine circles can line up on a side. That's nine in each direction, which means 81 all together.

\
pls explain how you got 3pi for the diamater of each circle. I got 4/pi
Current Student
Joined: 28 Dec 2004
Posts: 3411
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 148 [0], given: 2

GMAT Tests User
 [#permalink] New post 06 May 2005, 14:11
A it is....

I narrowed it to B

lets say circumfrance is pi*D=4 lets estimate that d then is 2!

then in that case we will have 36 nonover lapping circles.


if we assume that Diameter was 1, then we would have 144 non-overlapping circles...
so the real answer is greater than 36 and less than 144....only A seems to be in that ball park!

A it is..
  [#permalink] 06 May 2005, 14:11
    Similar topics Author Replies Last post
Similar
Topics:
New posts Shape PS SuperHumanAmit 5 27 Aug 2006, 12:51
New posts How many integers 100>n>10 are such that, if the el1981 3 21 Oct 2007, 13:22
New posts 1 PS> speed limit elmagnifico 2 30 Jan 2009, 12:45
New posts Drawing/Labelling Geometry shapes. TheSituation 4 06 Mar 2010, 09:11
New posts 4 Experts publish their posts in the topic The integers n and t are positive and n > t > 1. How many LalaB 3 31 Mar 2012, 06:34
Display posts from previous: Sort by

4965 PS > Geometry > Mixed Shapes How many

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.