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?
(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
Alternative Methodology
