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The median of five different positive integers is 12, which of the following is the least possible sum of these five positive in
The median of five different positive integers is 12, which of the following is the least possible sum of these five positive in
admin
2022-11-20
56
问题
The median of five different positive integers is 12, which of the following is the least possible sum of these five positive integers?
选项
A、38
B、21
C、42
D、54
E、60
答案
C
解析
5个不同正整数的中数是12,那么这5个数排序后中间那个数就是12,另外必然还有两个数大于中数12,两个数小于中数12,现在要求5个数和的最小值。那么大于12的两个正整数要尽可能的小,则为13,14;小于12的两个正整数也要尽可能的小,则为1,2。1+2+12+13+14=42,C为正确答案。
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