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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
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2025-02-24
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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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