Consider all positive four-digit integers consisting of only even digits. What fraction of these integers are not divisible by 4 ?
A. 14\frac{1}{4}
B. 25\frac{2}{5}
C. 12\frac{1}{2}
D. 35\frac{3}{5}
E. 34\frac{3}{4}

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Worked solution

1. 2026 AMC 8 官方解析

被4整除特征,后两位是4的倍数 .
00✓,02,04✓,06,08✓每组情况一致、为 35.\begin{matrix} 00 \\ \checkmark \end{matrix}, 02, \begin{matrix} 04 \\ \checkmark \end{matrix}, 06, \begin{matrix} 08 \\ \checkmark \end{matrix} \quad \text{每组情况一致、为} \ \frac{3}{5} .
20✓,22,24✓,26,28✓\begin{matrix} 20 \\ \checkmark \end{matrix}, 22, \begin{matrix} 24 \\ \checkmark \end{matrix}, 26, \begin{matrix} 28 \\ \checkmark \end{matrix}
1−35=25.1 - \frac{3}{5} = \frac{2}{5} .

Answer

B. 25\frac{2}{5}

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