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题库 / GMATAdvanced-DS-13
Each of the five divisions of a certain company sent representatives to a conference. Ift he numbers of representatives sent by four ofthe divisions were 3, 4, 5, and 5, was the range of the numbers of representatives sent by the five divisions greater than 2?
(1)The median of the numbers of representatives sent by the five divisions was greater than the average (arithmetic mean) of these numbers.
(2)The median of the numbers of representatives sent by the five divisions was 4.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
因为问五个数的范围是否大于2，则求解问题简化为：x是否属于[3,5]？ （1）：当x为0,1,2,5,6时五个数的中位数大于平均数，那么不能确定x是否落在[3,5]内——不充分； （2）当x为0,1,2,3,4时，中位数都等于4，不能确定x是否落在[3,5]内——不充分； （1）（2）合在一起：则x为0,1,2中的一个，不落在[3,5]内，原求解问题的答案是NO，充分。
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