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Square sequence (Posted on 2003-09-09) Difficulty: 3 of 5
Here is a square sequence of numbers.

392?
6  3
7  4
?817
What are the two question marks?

  Submitted by Gamer    
Rating: 4.5000 (4 votes)
Solution: (Hide)
1 and 9.
3 9 2 1
6     3 
7     4
9 8 1 7
Going clockwise, each digit is the sum of the previous two, on a mod 10 scale (look only at the ones digit of a sum). For example, 6+3=9, then 3+9=2 (12-10), 9+2=1, and so on.

The square has some other interesting properties, for example, each pair of digits directly across from each other (6 numbers apart) add up to 10.

Other explanations, yielding both the intended result and varied solutions, can be found in the problem comments.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPuzzle SolutionK Sengupta2007-08-24 05:59:30
NiceAlex Korn2005-10-30 21:19:20
re(2): Solutiongreg2003-09-13 00:16:07
Some Thoughtsre(4): Solution (further analysis)SilverKnight2003-09-11 01:05:21
re: (blank post)SilverKnight2003-09-11 00:58:15
No Subjectabc2003-09-10 22:11:34
Some Thoughtsre(3): Solution (further analysis)SilverKnight2003-09-09 23:25:45
re(2): SolutionSilverKnight2003-09-09 21:15:04
re: SolutionGamer2003-09-09 15:51:37
Possible solutionJane Rufino2003-09-09 14:08:16
re(5): Possible solution???SilverKnight2003-09-09 12:00:13
re(4): Possible solution???fwaff2003-09-09 11:47:50
re(3): Possible solution???SilverKnight2003-09-09 11:40:57
re(2): Possible solution???fwaff2003-09-09 11:39:47
re: SolutionSilverKnight2003-09-09 11:36:10
SolutionRichard Briscoe2003-09-09 11:28:58
Solutionre: Possible solution???SilverKnight2003-09-09 11:00:12
SolutionPossible solution???fwaff2003-09-09 10:54:40
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