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?
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