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题库 / Prep2007E1-DS-2
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts. Of these students, ~$\frac{2}{3}$~dislike lima beans; and of those who dislike lima beans, ~$\frac{3}{5}$~also dislike brussels sprouts. How many of the students like brussels sprouts but dislike lima beans?
(1) 120 students eat in the cafeteria.
(2) 40 of the students like lima beans.
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.
转载错了，下面这个才是：
所有在这个餐厅吃饭的同学对LB和BS两种食物有单一偏好，所求内容为喜欢BS且不喜欢LB的学生人数，由题意，设总人数为N，2/3N的学生不喜欢LB，2/3*3/5N的学生不喜欢LB和BS，那么可以推出有（1-3/5）*2/3N的同学喜欢BS且不喜欢LB，所以只要确定N值即可，两个条件都分别单独能够确定N值，选D.
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