
fit the numbers 125
Place the numbers 1 through 25 in the grid below:
1 2 3 4 5
A      
B      
C      
D      
E      
The sum of each column is odd
The sum of each row, except C, is even
The sum of row A is not greater than the sum of any other row
The sum of the diagonal E1 to A5 is less than that of the diagonal A1 to E5
A4 + B4 > C4 + D4 + E4
A1 + B1 = D1 + E1
A1 > E1
A1, A3 and B1 are all prime numbers
(A3 + E3) is a prime number
A5, D1, D3 and E1 are all squares
B2, C2 and D2 are ascending consecutive numbers
B3, C3 and D3 are ascending consecutive numbers
B5 + D5 = A5 + C5
(C1)² + (C5)² = (E3)²
C5 is a two digit number
D5 is a multiple of E5
E1 + E3 = E2 + E4 + E5
Vivek Gupta
Friday, February 11, 2005
here is one the possible solution I tried to reach at...
It took me about an hour to solve this, sorry I am not in position to tell you which conditions I considered 1st and
included the others side by side.
[ 07, 11, 02, 17, 01 ]
[ 13, 19, 23, 18, 03 ]
[ 09, 20, 24, 08, 12 ]
[ 16, 21, 25, 14, 10 ]
[ 04, 22, 15, 06, 05 ]
Vivek Gupta
Friday, February 11, 2005
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