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 Fill In The Squares (Posted on 2004-12-28)
Place the numbers 1 through 25 in the grid below:
```   1 2 3 4 5
A | | | | | |
B | | | | | |
C | | | | | |
D | | | | | |
E | | | | | |
```
1. The sum of each column is odd
2. The sum of each row, except C, is even
3. The sum of row A is not greater than the sum of any other row
4. The sum of the diagonal E1 to A5 is less than that of the diagonal A1 to E5
5. A4 + B4 > C4 + D4 + E4
6. A1 + B1 = D1 + E1
7. A1 > E1
8. A1, A3 and B1 are all prime numbers
9. (A3 + E3) is a prime number
10. A5, D1, D3 and E1 are all squares
11. B2, C2 and D2 are ascending consecutive numbers
12. B3, C3 and D3 are ascending consecutive numbers
13. B5 + D5 = A5 + C5
14. (C1)² + (C5)² = (E3)²
15. C5 is a two digit number
16. D5 is a multiple of E5
17. E1 + E3 = E2 + E4 + E5

 See The Solution Submitted by Nosher Rating: 4.3333 (9 votes)

 Subject Author Date Answer K Sengupta 2008-10-20 00:04:59 re: solution Tracy 2005-07-29 19:07:47 wow...! Tracy 2005-07-29 19:06:00 solution Van der Stappen 2005-02-24 10:05:48 logical approach - unique solution - no computer ARLEKIM 2005-02-10 18:26:14 re: solution alex 2005-01-14 01:17:01 re(2): solution alex 2005-01-14 00:12:26 re: solution alex 2005-01-14 00:03:34 solution alex 2005-01-13 23:35:31 re(4): Complete Solution! no computer Penny 2004-12-31 03:11:08 re(5): Complete Solution! no computer Farthing 2004-12-31 01:00:01 re(4): Complete Solution! no computer Hugo 2004-12-30 22:30:07 re(3): Complete Solution! no computer Farthing 2004-12-30 21:15:55 re: statement 14 Penny 2004-12-30 13:30:49 statement 14 Detti 2004-12-30 13:06:07 re(3): Complete Solution! no computer nikki 2004-12-30 12:50:05 re(2): Complete Solution! no computer Penny 2004-12-30 10:17:37 re(2): Complete Solution! no computer Charlie 2004-12-30 04:44:39 re: Complete Solution! no computer Farthing 2004-12-29 21:13:36 Complete Solution! no computer nikki 2004-12-29 15:53:21 Partial Solution - longwinded, no computer nikki 2004-12-29 14:18:53 Manual Solution...the starting point Farthing 2004-12-29 06:14:06 computer solution--spoiler Charlie 2004-12-28 20:19:02

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