AMC 8 2012 Problem 15

AMC8 2012 年第 15 题

余数与同余★★★☆☆

The smallest number greater than 2 that leaves a remainder of 2 when divided by 3, 4, 5, or 6 lies between what numbers?

大于 2 且除以 3,4,5 或 6 所得余数均为 2 的最小整数在下面哪两个数之间？

A. $\hspace{.05in}40\text{ and }50$
B. $\hspace{.05in}51\text{ and }55$
C. $\hspace{.05in}56\text{ and }60$
D. $\hspace{.05in}\text{61 and 65}$
E. $\hspace{.01in}\text{66 and 99}$

正确答案 · Correct Answer

D

解析 · Solution

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