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If 0≤n≤100, and (n+7)/4 is a multiple of 2 but not a multiple of 3 or 4, then wh
If 0≤n≤100, and (n+7)/4 is a multiple of 2 but not a multiple of 3 or 4, then wh
游客
2024-01-12
9
管理
问题
If 0≤n≤100, and (n+7)/4 is a multiple of 2 but not a multiple of 3 or 4, then which of the following could be true? Indicate all possible values.
选项
A、n is even.
B、n is odd.
C、n is prime.
D、n is a multiple of 9.
E、n is less than 20.
答案
B,C,D,E
解析
这道题目要求选出可能正确的选项,故需要逐个检查选项。质数的条件难以用数学语言进行表示,同时n的范围限定难以直接应用于解题,因此考虑直接枚举出所有符合条件的数:
列举出来可能的n值,n的值可以为1,故BE正确;n的值可以为97,故C正确;n的值可以为81,故D正确;由于n的所有5个取值中均没有偶数,因此A错误。综上,答案为BCDE四个选项。
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