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# The annual budget of a certain college is to be shown on a c

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Math Expert
Joined: 02 Sep 2009
Posts: 47898
The annual budget of a certain college is to be shown on a c  [#permalink]

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10 Jan 2014, 07:07
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Difficulty:

5% (low)

Question Stats:

87% (01:02) correct 13% (00:46) wrong based on 759 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

Problem Solving
Question: 33
Category: Arithmetic Percents; Interpretation of graphs
Page: 66
Difficulty: 600

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Re: The annual budget of a certain college is to be shown on a c  [#permalink]

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10 Jan 2014, 07:08
1
SOLUTION

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

The whole circumference is 360°.

15 percent of 360° is 15/100*360 = 54°.

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Re: The annual budget of a certain college is to be shown on a c  [#permalink]

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10 Jan 2014, 11:05
1
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

15 is out 100 and the sum of all the angles is 360
So required answer is 15*360/100 = 54 - Option C)
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Re: The annual budget of a certain college is to be shown on a c  [#permalink]

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23 Apr 2014, 03:35
1
100 % ------- > 360 degrees
15% ----------->???? degrees

(15*360)/100 = 54 degrees.
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Re: The annual budget of a certain college is to be shown on a c  [#permalink]

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03 Oct 2015, 09:29
How I do it:

How many degree to represent an item that is 15%

15/100 = x/360
360 x 15/100 = x
x = 54
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Re: The annual budget of a certain college is to be shown on a c  [#permalink]

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13 Apr 2017, 02:21
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

[/textarea]

(A) is a very nice trap answer if one if running out of time and doesn't think it through!

Anyways, I think the best approach is that of blendercroix - short a sweet proportion.
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Re: The annual budget of a certain college is to be shown on a c  [#permalink]

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07 Oct 2017, 03:04
1. 360 degrees in circle
2. half of 360 is 180; half of 100 is 50; therefore, 180degrees is used to represent 50% of the budget
3. half of 180 is 90; half of 50 is 25
4. half of 90 is 45; half of 25 is 12.5(2.5% lower than 15%)
5. you know it is within the range of 45-60, so eliminate the answer choices that are either too low or high

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Re: The annual budget of a certain college is to be shown on a c  [#permalink]

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07 Oct 2017, 03:14
1
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents , how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

(A) 15°
(B) 36°
(C) 54°
(D) 90°
(E) 150°

Problem Solving
Question: 33
Category: Arithmetic Percents; Interpretation of graphs
Page: 66
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Since the circular graph has to show 15% on the graph paper. So it has to have a same proportion on the graph
Hence 15/100 = x/360
x = 54

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Re: The annual budget of a certain college is to be shown on a c &nbs [#permalink] 07 Oct 2017, 03:14
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