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All Wrong at the Olympic Games (Posted on 2007-06-15) Difficulty: 3 of 5
In the marathon, all the competing countries were from Africa, but not the usual runners, and maybe that caused all prognostics on the race results to be wrong:

1) Algeria will not win the gold, nor Botswana the silver.
2) Chad will win a medal, and Djibouti will not.
3) Djibouti and Egypt will both win medals.
4) Djibouti will not win the silver, nor Egypt the bronze.
5) Algeria will win a medal, and Chad will not.

Who won which of the medals?

See The Solution Submitted by Federico Kereki    
Rating: 4.2500 (4 votes)

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Solution Alternative Methodology | Comment 7 of 14 |
(In reply to Puzzle Resolution by K Sengupta)

We denote the countries Algeria, Botswana, Chad, Djibouti and Egypt by A, B, C, D and E.

By the problem:

1) A NOT gold (OR) B NOT silver
2) C MEDAL (AND) D NO MEDAL
3) D (AND) E MEDAL
4) D NOT silver (OR) E NOT bronze
5) A MEDAL (AND) C NO MEDAL

So:

* A, can't win a gold, but can win a medal as long as C also wins one

* B, can't win a silver but can take any other medal without constraint

* C, can win a medal as long as D also wins, but if no medal for C then A can not win one

* D, can't win a silver, can medal if E doesn't and if no medal for D, then C can win medal

* E, can't win a bronze, can medal if D doesn't

Then, B is least constrained, so is likely to medal, GOLD or BRONZE

Can't have A, B and C winning because of condition 2)

Can have A, B and D winning medals, therefore:

A won silver, B won gold and D won bronze. The remaining countries B and E did not win any medals


 


  Posted by K Sengupta on 2007-06-15 23:55:41
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