Hermione wrote:

In a certain year the UN's total expenditures were $1.6bio. 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 5 highest contributing countries, each of which paid more than country X

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

(1) implies that the sixth-highest contributor paid 67.8-56=11.8% of the total expenditures. This would mean the each of the five highest contributors paid at least 11.8% of the total expenditures, so the sum of their shares would be at least 59%. This contradicts (1). Are you sure the question is well-written?