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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

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

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Solution solution | Comment 20 of 23 |

<TABLE style="WIDTH: 100pt; BORDER-COLLAPSE: collapse" cellSpacing=0 cellPadding=0 width=135 border=0 x:str> <COLGROUP> <COL style="WIDTH: 20pt; mso-width-source: userset; mso-width-alt: 967" span=5 width=27> <TBODY> <TR style="HEIGHT: 18pt; mso-height-source: userset" height=24> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 20pt; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18pt; BACKGROUND-COLOR: transparent" width=27 height=24 x:num>7</TD> <TD class=xl32 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 20pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" width=27 x:num>14</TD> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 20pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" width=27 x:num>2</TD> <TD class=xl32 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 20pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" width=27 x:num>18</TD> <TD class=xl25 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; WIDTH: 20pt; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: silver" width=27 x:num>1</TD></TR> <TR style="HEIGHT: 18pt; mso-height-source: userset" height=24> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18pt; BACKGROUND-COLOR: transparent" height=24 x:num>13</TD> <TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>20</TD> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>23</TD> <TD class=xl32 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>19</TD> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>3</TD></TR> <TR style="HEIGHT: 18pt; mso-height-source: userset" height=24> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18pt; BACKGROUND-COLOR: transparent" height=24 x:num>9</TD> <TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num x:fmla="=+B2+1">21</TD> <TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num x:fmla="=+C2+1">24</TD> <TD class=xl32 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>11</TD> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>12</TD></TR> <TR style="HEIGHT: 18pt; mso-height-source: userset" height=24> <TD class=xl31 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18pt; BACKGROUND-COLOR: silver" height=24 x:num>16</TD> <TD class=xl24 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num x:fmla="=+B3+1">22</TD> <TD class=xl29 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: silver" x:num x:fmla="=+C3+1">25</TD> <TD class=xl32 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>17</TD> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>10</TD></TR> <TR style="HEIGHT: 18pt; mso-height-source: userset" height=24> <TD class=xl31 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18pt; BACKGROUND-COLOR: silver" height=24 x:num>4</TD> <TD class=xl30 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>8</TD> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>15</TD> <TD class=xl30 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>6</TD> <TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" x:num>5</TD></TR></TBODY></TABLE>


  Posted by Van der Stappen on 2005-02-24 10:05:48
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