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题库 / Prep2007E2-DS-19
Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T ?
(1) The median of the numbers in set S is 0.
(2) The sum of the numbers in set S is equal to the sum of the numbers in set T.
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.
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根据条件二：
5（S1+S5）=7(T1+T7)=>5(S1+S1+4)=7(T1+T1+6)=>5S1=7T1+11
1) 当T1=-3时，S1=-2
2) 当T1=-8时，S1=-9
所以，条件二单独不成立
结合条件一，如果S的中位数是0，则，S序列为：-2，-1,0,1,2
得出， T1=-3，S1=-2，T和S序列都已知。
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