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 --> 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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-a-certain-year-the-united-nations-total-expenditures-were-102551.html
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