A certain list consists of several different integers. Is the product of all the integers in the list positive?
(1) The product of the greatest and smallest of the integers in the list is positive.
(2) There is an even number of integers in the list.
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.
也真是理解题目的问题,问题是问乘积是不是正数。
条件一,说明这个list的数,最大数和最小数同号,也就是这个list的所有数有两种可能性,要么全部是正数,要么全是负数。条件二,有偶数个数,如果全部是负数,偶数个数相乘,乘积一定是正数,如果全部是正数,那乘积当然是正数。
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