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Two circular road signs are to be painted yellow. If the rad

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Manager
Joined: 02 Sep 2012
Posts: 179
Location: United States
Concentration: Entrepreneurship, Finance
GMAT Date: 07-25-2013
GPA: 3.83
WE: Architecture (Computer Hardware)

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19 Jun 2013, 07:48
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Two circular road signs are to be painted yellow. If the radius of the larger sign is twice that of the smaller sign, how many times more paint is needed to paint the larger sign (assuming that a given amount of paint covers the same area on both signs)?

A. 2
B. 3
C. 4
D. 3 /2
E. 3/5
Director
Joined: 28 Jun 2011
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19 Jun 2013, 09:33
2
Let the radius of smaller circle be r

Let the radius of bigger circle be 2r

Now if the to complete the bigger circle the entire diameter will be 4 times that of the smaller circle. hence its 4.
Manager
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Location: United States
Concentration: Entrepreneurship, Finance
GMAT Date: 07-25-2013
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19 Jun 2013, 09:42
Here dont we need to find the circumference of the circle..Why we need to calculate the area?pls clarify?
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19 Jun 2013, 09:52
2
skamal7 wrote:
Here dont we need to find the circumference of the circle..Why we need to calculate the area?pls clarify?

Two circular road signs are to be painted yellow. If the radius of the larger sign is twice that of the smaller sign, how many times more paint is needed to paint the larger sign (assuming that a given amount of paint covers the same area on both signs)

How many times more paint need means to cover the entire area, thus we just need to know area.
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GMAT Date: 07-25-2013
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19 Jun 2013, 09:56
thanks!it helped!
Intern
Joined: 12 Feb 2013
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08 Jun 2015, 10:19
Dear skamal

You see you need to understand the difference between circumference and area visually first.
if you draw a circle on paper then:-
the boundary of circle called circumference . it formula is 2*pie*radius

the space covered inside the closed boundary and also the space covered by the drawing of boundary(how so ever small it is) is called area..

Now you need to draw sign.
Unless stated otherwise, you can safely assume that you draw fully filled circle and not a empty circle.

Hope it helps
Kudos please if you like it.
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Joined: 04 May 2014
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08 Jun 2015, 10:48
In this case we want to find how much more paint is needed for the larger sign.

We need to use the formula of calculating the area to get our answer, this is
r^2 * pi

r(larger sign) = r(smaller sign) * 2

So plugging that into the formula gives us

(r(smaller sign) * 2 ) ^ 2 * pi =
r(smaller sign) * 4 * pi

Hence we need 4 times more paint for the larger sign than the smaller sign.

Manager
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05 Jan 2018, 23:53
prateekbhatt wrote:
Let the radius of smaller circle be r

Let the radius of bigger circle be 2r

Now if the to complete the bigger circle the entire diameter will be 4 times that of the smaller circle. hence its 4.

Hi,
I also followed the same approach but since in the question it was asked that how many times more paint is needed to paint the larger sign..
I subtracted the larger circle with that of the smaller circle. so the answer I got was 4-1 =3.

I feel for the answer to be 4 the question, the word more should have been omitted would have been something like
the paint on the larger cirlce would be how many times that of the smaller circle

Can somebody clear this doubt?
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Joined: 11 Apr 2014
Posts: 19

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17 Jan 2018, 13:02
suramya26 wrote:
prateekbhatt wrote:
Let the radius of smaller circle be r

Let the radius of bigger circle be 2r

Now if the to complete the bigger circle the entire diameter will be 4 times that of the smaller circle. hence its 4.

Hi,
I also followed the same approach but since in the question it was asked that how many times more paint is needed to paint the larger sign..
I subtracted the larger circle with that of the smaller circle. so the answer I got was 4-1 =3.

I feel for the answer to be 4 the question, the word more should have been omitted would have been something like
the paint on the larger cirlce would be how many times that of the smaller circle

Can somebody clear this doubt?

Hi I have the same doubt as well. Can some body please explain why the answer is not 3.
Intern
Joined: 26 Feb 2017
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24 Jan 2018, 08:59
I had the same query as Suramya and Cool Naren. could someone explain why the answer is 4 and not 3?
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Joined: 08 Jul 2018
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14 Jan 2019, 07:35
Bunuel
Hi, the answer is stated as 4 on the forum whereas I think it is 3 because of the word "more". Why is it 4?
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14 Jan 2019, 09:23
BatuhanKavlak wrote:
Bunuel
Hi, the answer is stated as 4 on the forum whereas I think it is 3 because of the word "more". Why is it 4?

Quote:
...........how many times more paint is needed to paint the larger sign..............

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Abhishek....

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Manager
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21 Jan 2019, 14:40
The language of this question doesn’t make any sense. It is ambiguous imo. As per the question stem, the answer could be 3 as well.

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Re: Two circular road signs are to be painted yellow. If the rad   [#permalink] 21 Jan 2019, 14:40
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