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In a certain year the United Nations' total expenditures were $1.6 bil
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Updated on: 11 Sep 2022, 14:44
Updated on: 11 Sep 2022, 14:44
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In a certain year the United Nations' total expenditures were $1.6 billion. 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.
DS.JPG [ 88.83 KiB | Viewed 5409 times ]
(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.
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DS.JPG [ 88.83 KiB | Viewed 5409 times ]
Re: In a certain year the United Nations' total expenditures were $1.6 bil
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09 Oct 2010, 14:02
09 Oct 2010, 14:02
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Orange08
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.
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.
Re: In a certain year the United Nations' total expenditures were $1.6 bil
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Updated on: 30 Jan 2008, 08:32
Updated on: 30 Jan 2008, 08:32
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GHIBI
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.
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
