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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

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: 1. Please provide your solutions to the questions; 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.

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?

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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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.
_________________

"When the going gets tough, the tough gets going!"

|Welcoming tips/suggestions/advices (you name it) to help me achieve a600|

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

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07 Oct 2017, 02:04

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

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

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: 1. Please provide your solutions to the questions; 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