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
(In reply to
Complete Solution! no computer by nikki)
Bravo, Nikki. It's good to see someone prepared to do the hard work. I have nothing against a computer-assisted solution but I'm sure Nosher would be happy that someone took the time and effort to solve it logically. He/she must have spent a long time compiling the puzzle. As always, Nikki, your explanation was excellent and easy to follow.
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Posted by Farthing
on 2004-12-29 21:13:36 |
re: Complete Solution! no computer
