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Fill In The Squares (Posted on 2004-12-28) Difficulty: 3 of 5
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

  Submitted by Nosher    
Rating: 4.3333 (9 votes)
Solution: (Hide)
07,11,02,17,01
13,19,23,22,03
09,20,24,14,12
16,21,25,18,10
04,08,15,06,05

Comments: ( You must be logged in to post comments.)
  Subject Author Date
AnswerK Sengupta2008-10-20 00:04:59
Hints/Tipsre: solutionTracy2005-07-29 19:07:47
Some Thoughtswow...!Tracy2005-07-29 19:06:00
SolutionsolutionVan der Stappen2005-02-24 10:05:48
Solutionlogical approach - unique solution - no computerARLEKIM2005-02-10 18:26:14
re: solutionalex2005-01-14 01:17:01
re(2): solutionalex2005-01-14 00:12:26
re: solutionalex2005-01-14 00:03:34
solutionalex2005-01-13 23:35:31
re(4): Complete Solution! no computerPenny2004-12-31 03:11:08
re(5): Complete Solution! no computerFarthing2004-12-31 01:00:01
re(4): Complete Solution! no computerHugo2004-12-30 22:30:07
re(3): Complete Solution! no computerFarthing2004-12-30 21:15:55
re: statement 14Penny2004-12-30 13:30:49
statement 14Detti2004-12-30 13:06:07
re(3): Complete Solution! no computernikki2004-12-30 12:50:05
re(2): Complete Solution! no computerPenny2004-12-30 10:17:37
re(2): Complete Solution! no computerCharlie2004-12-30 04:44:39
re: Complete Solution! no computerFarthing2004-12-29 21:13:36
SolutionComplete Solution! no computernikki2004-12-29 15:53:21
Some ThoughtsPartial Solution - longwinded, no computernikki2004-12-29 14:18:53
Manual Solution...the starting pointFarthing2004-12-29 06:14:06
Solutioncomputer solution--spoilerCharlie2004-12-28 20:19:02
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