2. 外语
  3. 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

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

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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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