(3 votes, average: 4.33 out of 5)
Loading ...Arrange the numbers 1-9 in a 3×3 square using each only once
Arrange the numbers 1-9 in a 3×3 square using each once only, according to the following rules:
- exactly one prime number is directly above a prime number that’s two numbers less;
- each pair of opposite corners sums to the same square total and exactly two columns share another square total;
- exactly one prime number is directly to the left of a non-prime number that’s two numbers greater;
- directly above exactly one square number is a number that’s four numbers greater; and
- directly to the right of exactly one cubic number is a number that’s one number greater.
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Posted by Doug Fred E.I.
on May 28th, 2009 and filed under Discussions.
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What’s the absolute right answer? I need to know!!!!!!!
8 9 7
6 3 5
2 4 1
Hi how would I arrange the digits from 10 to 18 in a 3×3 table so that every row, column and diagonal totals the same amount? With explanation please!
My answer is…
8 9 7
6 3 5
2 4 1
Good job, Mike..
Thanks!!
3 5 7
1 8 9
2 4 6
——————
8 9 7
6 3 5
2 4 1
——————
Proof follows:
7
5 satisfies rule #1
8 _ 7
_ _ _
2 _ 1 satisfies Rule #2a (3 squared)
8 9
6 3
2 4 satisfies Rule #2b (4 squared)
2 4 satisfies Rule #3
5
1 satisfies Rule #4
8 9 satisfies Rule #5
8 9 doesn’t satisfy rule # 5. 8 is not a cubic number. 9 is a cubic number, but the 8 is to the left of it.