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Sep 15th 2013, 06:25

答: 1 或 4 或 7.

解:3的倍數有個特性:

每位數字的和為3的倍數.

ex. 四位數abcd為3的倍數,則a+b+c+d亦為3的倍數.

所以,若125x為3的倍數,則1+2+5+x也是3的倍數.

其中x為整數,且0≦x≦9.

所以,8≦1+2+5+x≦17.

而介於8到17的數字中,3的倍數有

9.12.15三個.也就是說:

1+2+5+x=9 or 12 or 15

8+x=9 or 12 or 15

x=1 or 4 or 7

所以可填入1,4,7.

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