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# The figure above represents a circle graph of Company H's total expens

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

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07 Dec 2012, 09:21
3
9
00:00

Difficulty:

5% (low)

Question Stats:

94% (01:05) correct 6% (01:37) wrong based on 1502 sessions

(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. Answer: A. _________________ Math Expert Joined: 02 Sep 2009 Posts: 55271 Re: The figure above represents a circle graph of Company H's total expens [#permalink] ### Show Tags 18 Jun 2013, 01:40 Bumping for review and further discussion*. Get a kudos point for an alternative solution! *New project from GMAT Club!!! Check HERE All DS Graphs and Illustrations Problems to practice: search.php?search_id=tag&tag_id=240 All PS Graphs and Illustrations Problems to practice: search.php?search_id=tag&tag_id=239 _________________ CEO Joined: 12 Sep 2015 Posts: 3727 Location: Canada The figure above represents a circle graph of Company H's total expens [#permalink] ### Show Tags 20 Aug 2016, 06:52 2 Top Contributor Walkabout wrote: 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

Aside: We have a free video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100

Now onto the statements....

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

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12 Dec 2017, 12:05
1

Hi All,

From the circle graph, we can see that there are five 'divisions' of expenses for Company H and that "R" represents X degrees of the 360 degrees in the circle. Since this is a DS question though, we cannot trust the picture (meaning that it's possible that R could be the biggest piece, smallest piece, a 'middle' piece, etc. of the pie). We're told that the TOTAL expenses = $5,400,000. We're asked for the expenses from piece R. 1) X = 94 Since X = 94, we know that R = (94/360)($5,400,000). We don't have to calculate this value though (we know that we COULD though and that there would be just one answer to the question.
Fact 1 is SUFFICIENT

2) The total expenses for Divisions S and T are twice as much as the expenses for Division R.

With this Fact, we don't know the actual values of any of the 5 divisions. For example:
S, T and R could each equal $100, with the remaining$5,399,700 spread between P and Q.
S, T and R could each equal $200, with the remaining$5,399,400 spread between P and Q.
Fact 2 is INSUFFICIENT

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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2823 The figure above represents a circle graph of Company H's total expens [#permalink] ### Show Tags 02 Jan 2018, 11:02 Walkabout wrote: 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.

(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. Answer: A. Bunuel hello there by this $$\frac{94}{360}*\frac{5,400,000}{1}$$ you imply that we need to find a fraction of R division ? is my reasoning correct ? Math Expert Joined: 02 Sep 2009 Posts: 55271 Re: The figure above represents a circle graph of Company H's total expens [#permalink] ### Show Tags 24 Apr 2018, 21:17 1 dave13 wrote: Bunuel wrote: 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. Answer: A. Bunuel hello there by this $$\frac{94}{360}*\frac{5,400,000}{1}$$ you imply that we need to find a fraction of R division ? is my reasoning correct ? Yes. Angle x, which represents sector for Division R, is 94/360th of the whole circle. Since the whole circle = total expenses =$5,400,000, then the expenses for Division R = 94/360*\$5,400,000.
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Re: The figure above represents a circle graph of Company H's total expens  [#permalink]

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26 Apr 2019, 02:57
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Re: The figure above represents a circle graph of Company H's total expens   [#permalink] 26 Apr 2019, 02:57
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