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The figure above represents a circle graph of Company H's [#permalink]

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07 Dec 2012, 08:21

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The figure above represents a circle graph of Company H's total expenses broken down by the expenses for each of its five divisions. If O is the center of the circle and if Company H's total expenses are $5,400,000, what are the expenses for Division R ?

(1) x = 94 (2) The total expenses for Divisions S and T are twice as much as the expenses for Division R.

The figure above represents a circle graph of Company H's total expenses broken down by the expenses for each of its five divisions. If O is the center of the circle and if Company H's total expenses are $5,400,000, what are the expenses for Division R ?

(1) x = 94. The expenses for Division R = 94/360*$5,400,000. Sufficient.

(2) The total expenses for Divisions S and T are twice as much as the expenses for Division R. Not sufficient.

Re: The figure above represents a circle graph of Company H's [#permalink]

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13 Dec 2012, 02:14

I resolved it alone i'm studying from october. i'd like to start an mba next year, but i have to pass the gmat with 670. I'm studying in this way: math (1 hour per day), verbal 5 hours per week. honestly i resolve 50% of the questions I try on the gmatclub. i don't know..maybe I should try a gmat practice test to assess myself, but i feel not so confident. when I read your posts you are amazing, being able to solve very hard question according to me.

Re: The figure above represents a circle graph of Company H's [#permalink]

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23 Jul 2015, 23:15

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Re: The figure above represents a circle graph of Company H's [#permalink]

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20 Aug 2016, 05:52

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Walkabout wrote:

Attachment:

Expenses.png

The figure above represents a circle graph of Company H's total expenses broken down by the expenses for each of its five divisions. If O is the center of the circle and if Company H's total expenses are $5,400,000, what are the expenses for Division R ?

(1) x = 94 (2) The total expenses for Divisions S and T are twice as much as the expenses for Division R.

Target question:How many of the five divisions have an expense which is more than the average (arithmetic mean) of the expenses of the five divisions?

This is a great candidate for REPHRASING the target question.

IMPORTANT: If we add the percentages (a%, b%, c%, d%, and e%), we get 100% So, the average percent share = 100%/5 = 20%

So, we can REPHRASE the target question.... REPHRASED target question:How many of the five divisions have MORE than 20% of the TOTAL expenses

Statement 1: a > 19 > b > c > d > e We know that b, c, d and e have less than 19% of the total expenses, which means they each have less than 20% of the TOTAL expenses. If b, c, d and e each = less than 19%, then b+c+d+e is less than (4)(19%) (4)(19%) = 74%, which means division a must comprise more than 26% percent of the TOTAL expenses. So, exactly 1 division has MORE than 20% of the TOTAL expenses Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: a > 21 > b > c > d > e There are several values of a, b, c, d and e that satisfy statement 2. Here are two: Case a: a = 23, b = 20.5, c = 19.5, d = 19 and e = 18. In this case, 2 divisions have MORE than 20% of the TOTAL expenses Case b: a = 62, b = 11, c = 10, d = 9 and e = 8. In this case, 1 division has MORE than 20% of the TOTAL expenses Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

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