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Ten-Digit Numbers (Posted on 2003-05-27) Difficulty: 3 of 5
Find all ten digit numbers each containing the digit from 0 to 9 once and only once, with the property that the successive pairs of digits from left to right are divisible by 2,3,4,5,6,7,8,9 and 10.

[In other words: The two-digit number formed with the 'N'th digit and the '(N+1)'st digit is divisible by '(N+1)', where N = 1,2,3,4,....,9].

See The Solution Submitted by Ravi Raja    
Rating: 3.3333 (3 votes)

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Some Thoughts Puzzle Thoughts Comment 4 of 4 |
Only two numbers satisfy the given conditions. They are: 7812549630 and 1872549630.

Edited on April 19, 2023, 10:26 pm
  Posted by K Sengupta on 2023-04-19 22:25:38

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