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In a group of 100 students, more students are on the fencing team than are members of the French club. If 70 are in the club and 20 are neither on the team nor in the club, what is the minimum number of students who could be both on the team and in the club?

单选题
2022-06-30 06:17
A、10
B、49
C、50
D、60
E、61
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正确答案
E

试题解析

假设既参加击剑队又参加法语社团的人数为x,那么根据题意可画维恩图如下所示:
根据图示可知,100个人中,70人参加了法语社团,因此没参加法语社团的人数为30,而这30个人中,20个人既不在法语社团也没参加击剑队,因此,10人只参加了击剑队;由于参加击剑队的人数要大于参加法语社团的人数,因此10 + x > 70 → x > 60 (x为整数),因此x的最小值为61。

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