AMC8 2013
AMC8 2013 · Q1
AMC8 2013 · Q1. It mainly tests Arithmetic misc, Divisibility & factors.
Danica wants to arrange her model cars in rows with exactly 6 cars in each row. She now has 23 model cars. What is the smallest number of additional cars she must buy in order to be able to arrange her cars in this way?
Danica 想要将她的模型车排成每行恰好 6 辆车的行。她现在有 23 辆模型车。她必须再买多少辆车（最少）才能以这种方式排列她的车？
(A)
1
1
(B)
2
2
(C)
3
3
(D)
4
4
(E)
5
5
Answer
Correct choice: (A)
正确答案：（A）
Solution
The least multiple of 6 greater than 23 is 24. So she will need to add $24-23=\boxed{\textbf{(A)}\ 1}$ more model car.
大于 23 的最小 6 的倍数是 24。所以她需要再加 $24-23=\boxed{\textbf{(A)}\ 1}$ 辆模型车。
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