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I didn't do it. (Posted on 2004-11-04) Difficulty: 1 of 5
A terrible crime has been committed and the police round up the usual suspects. During the interrogation of the four men the following accusations and statements are made:

Anderson said "Brimmers did it."
Brimmers said "Dodge did it."
Carter said "I didn't do it."
Dodge said "Brimmers lied when he said I did it."

If only one of the four men was untruthful, which man committed the crime?

  Submitted by Erik O.    
Rating: 1.7273 (11 votes)
Solution: (Hide)
If Anderson lied, then the statements made by Brimmers and Dodge contradict each other, so Anderson cannot be the liar.

If Carter lied, then, again, the statements made by Brimmers and Dodge contradict each other, so Carter cannot be the liar. At this point you should be able to see that the key to the puzzle is in the contradictory statements made by Brimmers and Dodge.

If Dodge lied, then the statements made by Anderson and Brimmers cannot both be true (assuming only one man was guilty).

Therefore we are left with only one option.

If Brimmers lied when he accused Dodge, then Anderson could truthfully be saying that Brimmers did it, Carter could truthfully deny being involved, and Dodge could truthfully claim that Brimmers wrongfully accused him.

Since Anderson was telling the truth when he accused Brimmers, Brimmers is the guilty man.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtssome thoughts Dej Mar2015-04-08 23:14:27
SolAndre2010-06-01 18:49:03
SolutionPuzzle SolutionK Sengupta2007-10-26 05:47:11
SolutionTerence2005-10-06 19:37:26
SolutionTerence2005-10-06 19:37:25
SolutionHe did itLisa2005-05-09 10:53:52
No Subjectandrew2004-11-06 07:50:19
re: SolutionOsi2004-11-05 16:11:27
Solutiongive it a gobob9092004-11-04 19:12:59
Of Course Brimmers did it.Tim Winger2004-11-04 18:19:20
SolutionOsi2004-11-04 18:08:32
i thinkjessica2004-11-04 15:47:10
SolutionA simple wayFederico Kereki2004-11-04 13:47:19
SolutionOther ways to approach it.nikki2004-11-04 13:18:18
SolutionI did it !Syzygy2004-11-04 13:14:20
SolutionSolutionDustin2004-11-04 13:13:40
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