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

【正确答案】 E
【答案解析】[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。