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One to Nine

Math brain teasers require computations to solve.


Puzzle ID:#29716
Fun:*** (2.69)
Difficulty:*** (2.98)
Submitted By:shenqiangAcn****!!




Arrange the digits from 1 to 9 to make a 9-digit number ABCDEFGHI which satisfies the following conditions:

1) AB is divisible by 2;
2) ABC is divisible by 3;
3) ABCD is divisible by 4;
4) ABCDE is divisible by 5;
5) ABCDEF is divisible by 6;
6) ABCDEFG is divisible by 7;
7) ABCDEFGH is divisible by 8;
8) ABCDEFGHI is divisible by 9.

There is only one solution.

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Condition 8 is the easiest to satisfy just because it is automatically satisfied. But condition 6 is the hardest to satisfy, and should be left last.

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