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GHIBI
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In a certain year the United Nations' total expenditures were $1.6 bil Updated on: 11 Sep 2022, 14:44
Originally posted by GHIBI on 30 Jan 2008, 04:04.
Last edited by Bunuel on 11 Sep 2022, 14:44, edited 3 times in total.
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72% (02:11) correct 28% (02:16) wrong based on 1274 sessions

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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.

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In a certain year the United Nations' total expenditures were $1.6 bil 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.
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(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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In a certain year the United Nations' total expenditures were $1.6 bil Updated on: 30 Jan 2008, 08:32
Originally posted by eschn3am on 30 Jan 2008, 05:11.
Last edited by eschn3am on 30 Jan 2008, 08:32, edited 1 time in total.
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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.
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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
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In a certain year the United Nations' total expenditures were $1.6 bil 04 May 2011, 20:35
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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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In a certain year the United Nations' total expenditures were $1.6 bil 12 May 2011, 10:20
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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.
Show more

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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In a certain year the United Nations' total expenditures were $1.6 bil 21 Sep 2014, 22:30
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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
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In a certain year the United Nations' total expenditures were $1.6 bil 11 Feb 2017, 09:32
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1) Top 6 countries - 68% (rounded off for the sake of simplicity)
2) Remaining countries - 32%

Country X among (1) OR (2)?

A. Top 4 countries - 56%

We are not sure how much Country X paid. Insufficient.

B. Country X - 4.8%

The top 6 paid 67.8%, which could be roughly 11% each, so X could be in the bottom 153; the top 5 may have paid all of the 67.8% other than 4.8%, so X could have been 6th.
Clearly insufficient.

Combined,
Top 4 countries - 56%
Remaining contribution from the total 68% - 12%

(1) Of this 12% b/w 5th and 6th country, Country X MAY have paid 4.8% and another country MAY have paid 7.2%. So, Country X IS among Top 6.

(OR)

(2) Of this 12% b/w 5th and 6th country, Two different countries MAY have paid all of 12% - each contributing more than Country X. So, Country X CANNOT be among Top 6.

Insufficient.
Hence E.
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In a certain year the United Nations' total expenditures were $1.6 bil 19 Aug 2025, 08:14
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