2002 AMC 8 第 4 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
4.
年份 是一个回文数（从左往右读和从右往左读相同）。 之后下一个回文年份的各位数字乘积是多少？
The year 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 that is a palindrome?
小提示：
之后的下一个回文数仍以 开头和结尾。
The next palindrome after still starts and ends with
大提示：
中间两位必须增加到最小的相同数字。
The middle two digits must increase to the smallest matching pair.
解答：
我们不想增加千位，所以千位仍可保持为 。
因此必须把百位和十位增加到 ，得到下一个回文数 。它的各位数字乘积为 。
所以正确答案是 B。
We don’t want to increase the thousands digit, so we can keep that as
This means that we have to increase the tens and hundreds digits to to yield the next palindrome of The product of its digits is
Thus, B is the correct answer.
其他年份的第 4 题
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