If w + z = 28, what is the value of wz ?
(1) w and z are positive integers.
(2) w and z are consecutive odd integers.
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.
题目分析:
(1) 只知道w和z为正数,不能确定w、z的值,也无法算得wz的值。
(2) w和z为连续的奇数,则w=z+2(或者z=w+2),代入题目的式子得z+2+z=28,解得z=13,w=15,所以 wz=195。
因此,本题答案为(B),仅条件2可以解题,条件1不行。