Answer to the Problem of the Week for the week of April 10, 2006 |
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Prime Problem |
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by Bob Lodge in Games Magazine (October 2001) |
Fill in each of the ten labeled boxes in the grid below with a different digit from 0 to 9 to form eight two- and three-digit numbers in the rows and columns (four reading across and four reading down). Can you find a way to fill the grid so that the following statements are true?
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Please send in you answer in the following format: |
Solution to the Problem: |
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Clue #2 states that no number begins with 0, so 0 must be in boxes B, D, E, G, or I. Clue #3 states that there is only one number that is not prime. Hence, 0 must be in box D or box G or else there would be two numbers that are not prime. Clue #3 also states that the non-prime number reads across, so 0 must be in box G.
Now continue to solve, making use of the following facts: |
1. David & Judy Dixon | Bennettsville, South Carolina |
2. Elvis Nguyen | Lakeridge High School Lake Oswego, Oregon |
3. Sagar Patel | Brookstone School Columbus, Georgia |
4. Tristan Collins | Virginia Tech Blacksburg, Virginia |
5. Kunal Singh | Kendriya Vidyalaya Happy Valley, Shillong, India |
6. Magdy Essafty | Alexandria, Egypt |
7. Cynthia, Steve, and Leonard | Manual Arts High Los Angeles, California |
8. Andrew Dau | South O'Brien High School Gaza, Iowa |
9. Danny Gordon | Brookstone School Columbus, Georgia |
10. Britney White | Brookstone School Columbus, Georgia |
11. Sharina Smith | Newport News, Virginia |
12. Garrett Hix | Brookstone School Columbus, Georgia |
13. Yassee Pirooz | Harrisonburg High School Harrisonburg, Virginia |
14. Laura Gronauer | John Handley High School Winchester, Virginia |
15. Julianne Harris | John Handley High School Winchester, Virginia |
16. Maggie Morrison | John Handley High School Winchester, Virginia |
17. Amanda Corsnitz | John Handley High School Winchester, Virginia |
18. Matt Ahrnsbrak | John Handley High School Winchester, Virginia |
19. Kelley Kolar | John Handley High School Winchester, Virginia |