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In a certain year the United Nations total expenditures were

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Joined: 07 Dec 2006
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In a certain year the United Nations total expenditures were  [#permalink]

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Updated on: 04 Jul 2013, 01:32
1
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Difficulty:

55% (hard)

Question Stats:

62% (02:03) correct 38% (02:07) wrong based on 370 sessions

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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. Originally posted by GHIBI on 30 Jan 2008, 03:04. Last edited by Bunuel on 04 Jul 2013, 01:32, edited 1 time in total. Added the OA. Most Helpful Expert Reply Math Expert Joined: 02 Sep 2009 Posts: 52344 Re: United Nations' total expenditure [#permalink] Show Tags 09 Oct 2010, 13:02 3 3 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.

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Re: GMATprep - DS Expenditures set  [#permalink]

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Updated on: 30 Jan 2008, 07:32
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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 Originally posted by eschn3am on 30 Jan 2008, 04:11. Last edited by eschn3am on 30 Jan 2008, 07:32, edited 1 time in total. Retired Moderator Joined: 16 Nov 2010 Posts: 1419 Location: United States (IN) Concentration: Strategy, Technology Re: United Nations' total expenditure [#permalink] Show Tags 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 _________________ Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant) GMAT Club Premium Membership - big benefits and savings Intern Joined: 04 Sep 2010 Posts: 40 Re: GMATprep - DS Expenditures set [#permalink] Show Tags 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]

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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
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Re: In a certain year the United Nations total expenditures were  [#permalink]

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11 Feb 2017, 08:32
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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Re: In a certain year the United Nations total expenditures were  [#permalink]

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07 May 2018, 09:18
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Re: In a certain year the United Nations total expenditures were &nbs [#permalink] 07 May 2018, 09:18
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