问题 单项选择题

In a certain class consisting of 36 students, some boys and some girls, exactly of the boys and exactly of the girls walk to school. What is the greatest possible number of students in this class who walk to school ?()

A.9

B.10

C.11

D.12

E.13

答案

参考答案:C

解析:

根据恰好有1/3的男生和1/4的女生步行上学可知该班男生人数一定是3的倍数,女生人数一定为4的倍数。要使步行上学的学生人数最多,就得使男生人数在满足上述条件的情况下尽可能地多。仔细观察发现,男生人数最多只能为24人,女生人数最少得为12人,因此步行上学的学生的最大数目为

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单项选择题