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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 Puzzle Resolution | Comment 6 of 14 |

Algeria won the gold

Djibouti won the silver

Chad won the bronze

Neither Botswana nor Egypt did receive any medals.

EXPLANATION:

From clue 1), it follows that at least one of Algeria  and Botswana
got a medal.

From clues 3) and 4), it follows that either Djibouti  or Egypt got a medal but not both.

If Djibouti  gets a medal, it gets Silver

If Egypt gets a medal, it gets Bronze

From clue 2), it follows that if Chad gets a medal, Djibouti gets a
medal. Also, If Djibouti doesn't get a medal, Chad doesn't get a medal

From clue 5), it follows that if Algeria gets a medal, Chad gets a
medal and, if Chad doesn't get a medal, Algeria doesn't get a medal.

From clues 2) and 5) we observe that, if Algeria gets a medal, both Chad  and Djibouti get medals as well. Also, if Djobouti doesn't get a medal, then neither Algeria nor Chad get any medals.

Since there are only three medals for five countries, it follows that precisely two countries did not receive any medals.

Accordingly, Djibouti got a medal.

Thus, Djibouti got Silver, and Egypt didn't get a medal.

Furthermore, since Botswana didn't get the silver, Algeria  must have the Gold medal (from  clue 1) ), and from clue 5) we can deduce that the last medal must have been awarded to Chad.

Consequently,

Algeria won the gold

Djibouti won the silver

Chad won the bronze

Neither Botswana nor Egypt did receive any medals.

Edited on June 18, 2007, 12:16 pm
  Posted by K Sengupta on 2007-06-15 23:51:37

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