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In a certain year the United Nations total expenditures were

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In a certain year the United Nations total expenditures were [#permalink] New post 30 Jan 2008, 03:04
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69% (02:10) correct 31% (01:31) wrong based on 92 sessions
In a certain year the United Nations’ total expenditures were $1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries?

(1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X.
(2) Country X paid 4.8 percent of the total expenditures.
[Reveal] Spoiler: OA

Last edited by Bunuel on 04 Jul 2013, 01:32, edited 1 time in total.
Added the OA.
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Re: GMATprep - DS Expenditures set [#permalink] New post 30 Jan 2008, 04:11
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GHIBI wrote:
In a certain year the United Nations’ total expenditures were $1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries?

1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X.

2) Country X paid 4.8 percent of the total expenditures.


Top 6 countries pay 67.8%.
Was X among top 6?

1. Top 4 paid out 56%, X not among top 4.
2. X paid 4.8% of total.

If top 4 paid 56%, that leaves 67.8-56=11.8% of total expenditures left. X paid 4.8% of total. Now it could be in the top six.

Country 5: 7%
Country 6: 4.8%

OR, it might not be in the top five at all.

Country 5: 6%
Country 6: 5.8%


Answer E

Last edited by eschn3am on 30 Jan 2008, 07:32, edited 1 time in total.
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Re: United Nations' total expenditure [#permalink] New post 09 Oct 2010, 13:02
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Orange08 wrote:
In a certain year the United Nations’ total expenditures were $1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries?

1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X.

2) Country X paid 4.8 percent of the total expenditures.


(1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X --> just tells us that country X is 5th contributor or lower. Not sufficient.

(2) Country X paid 4.8 percent of the total expenditures --> if all 6 highest contributors paid equal amount then each paid \frac{67.8}{6}=11.3%>4.8%, and the answer would be NO but if first contributor paid 51%, country X - 4.8% and the other 4 paid \frac{67.8-51-4.8}{4}=3%, then the answer would be YES. Not sufficient.

(1)+(2) From (1) 5th and 6th contributed 67.8-56=11.8% (average of 4 highest contributing countries is \frac{56}{4}=14%). Now, if 5th and 6th contributed equal amount then 5_{th}=6_{th}=\frac{11.8}{2}=5.9>4.8%, and the answer would be NO but if 5th contributed 11.8-4.8=7% and 6_{th}=X=4.8% then the answer would be YES. Not sufficient.

Answer: E.
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Re: United Nations' total expenditure [#permalink] New post 04 May 2011, 19:35
67.8% by 6 countries

(1) is not sufficient, as x could be in the remaning 12.8% or in (100 - 67.8)% part of contribution

(2) is also not sufficient, because there is no break-up given for the other highest donors


(1) + (2)

Not sufficient as again country x's contrubtion relative to other countries is not known
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Re: GMATprep - DS Expenditures set [#permalink] New post 12 May 2011, 09:20
GHIBI wrote:
In a certain year the United Nations’ total expenditures were $1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries?

1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X.

2) Country X paid 4.8 percent of the total expenditures.


1) 56% was paid by first 4 countries, X relative position among 153 + 2 is not available so it could be first , middle or last ... Insufficient
2) Does not provide relative position of X: Insufficient

Combine 1 & 2 ; remaining of 67.8 -56 = 11.8 and 4.8 percent is X ; So it could be 7% 5th and 4.8% 6th or 6% 5th 5.8% 6th and 4.8 % 7th ... inconclusive -- E
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Re: In a certain year the United Nations total expenditures were [#permalink] New post 20 Sep 2014, 20:35
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Re: In a certain year the United Nations total expenditures were [#permalink] New post 21 Sep 2014, 21:30
Another example of how simple logic is better.
Condition: 67.8%-6 countries
32.2%- rest
Was X among 6? Yes,No
S.1. 56% - 4 countries and each of them>X
if X among 6, then 5+6=11.8%. No problem to be in 6 or in rest. Not sufficient

S.2. X - 4.8% of total expenditures. The same as in S.1. Not sufficient

S1+S2=Not any news

E
Re: In a certain year the United Nations total expenditures were   [#permalink] 21 Sep 2014, 21:30
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