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解析:When the integer k is divided by 12

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【单选题】When the integer k is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6
Ⅰ 2k
Ⅱ 6k
Ⅲ 4k+6
A.Ⅰonly
B.Ⅱonly
C.Ⅲonly
D.ⅠandⅡonly
E.Ⅰ, Ⅱ, andⅢ
网考网参考答案:E
网考网解析:

根据题意可设k=12m+3,其中m是整数,则: 2k=2(12m+3)=12×2m+6 6k=6(12m+3)=12×(6m+1)+6 4k+6=4(12m+3)+6=12×(4m+1)+6 所以2k,6k和4k+6被12除时,余数都是6。 查看试题解析出处>>

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