Question

年份 $2002$ 是一个回文数（从左往右读和从右往左读相同）。 $2002$ 之后下一个回文年份的各位数字乘积是多少？

The year $2002$ is a palindrome (a number that reads the same from left to right as it does from right to left). What is the product of the digits of the next year after $2002$ that is a palindrome?

$0$

$4$

$9$

$16$

$25$

答案：B

知识点：回文数数字

难度评级：660

解答：

我们不想增加千位，所以千位仍可保持为 $2$ 。

因此必须把百位和十位增加到 $1$ ，得到下一个回文数 $2112$ 。它的各位数字乘积为 $4$ 。

所以正确答案是 B。

We don't want to increase the thousands digit, so we can keep that as $2.$

This means that we have to increase the tens and hundreds digits to $1,$ to yield the next palindrome of $2112.$ The product of its digits is $4.$

Thus, B is the correct answer.

2002 AMC 8 第 4 题

答案：B

难度评级：660

解答：

其他年份的第 4 题