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 I didn't do it. (Posted on 2004-11-04)
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?

 See The Solution Submitted by Erik O. Rating: 1.7273 (11 votes)

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 Puzzle Solution | Comment 14 of 16 |

Let us denote the suspects Anderson, Brimmer, Carter and Dodge respectively by A, B, C and D.

Then, the possibilities are:

Guilty person.......Whether Feasible
A..........................No. Two suspects A and B are untruthful.
B........................ Yes. Only B is untruthful.
C........................ No. Three suspects A,B and C are untruthful.
D........................ No. Two suspects A and D are untruthful.

Consequently, Brimmer committed the crime.

Edited on July 5, 2008, 1:24 pm
 Posted by K Sengupta on 2007-10-26 05:47:11

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