2. 职称英语
  3. When the even integer n is divided by 7, the remainder is 3.Column A

When the even integer n is divided by 7, the remainder is 3.Column A

游客2025-02-24  15
问题 When the even integer n is divided by 7, the remainder is 3.

Column A                                      Column B
The remainder when n is divided by 14          10
选项 A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案 C
解析 当一个偶数n被7除时，余数是3。
解：本题的正确答案为(C)。比较的左项为n被14除时的余数。由n被7除余3可知n可表示为n=7k+3，其中k是整数。又因为n是偶数，所以k必为奇数，因此n又可表示为：n=7(2m+1)+3=14m+10，其中m是整数，所以n被14除余数是10。
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