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Metadivisible (Posted on 2007-11-09) Difficulty: 3 of 5
Arrange the digits 1 through 9 into a 3x3 grid as described below:

The digits form three 3-digit numbers reading left-to-right, and three 3-digit numbers reading top-to-bottom. Also consider these six 3-digit numbers reversed, that is, reading right-to-left and bottom-to-top.

For each of those nine digits, d, you count how many of the twelve 3-digit numbers are divisible by the number d. In the case of each d, that number, the count, is itself divisible by d.

How are the numbers arranged, with the understanding that rotations and reflections of that arrangement are possible alternatives?

See The Solution Submitted by Charlie    
Rating: 3.6667 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/Tips A mid sized step for man..FrankM2008-01-21 00:50:47
Partial Solution (spoiler)Dej Mar2007-11-09 16:29:20
Some ThoughtsA startLeming2007-11-09 14:29:06
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