After a local Post Office burglary, four suspects were being interviewed. Below is a summary of their statements.
The police know that each of them told the truth in one of the statements and lied in the other.
From this information, who committed the crime?
Alan said:
It wasn't Derek
It wasn't Brian
Brian said:
It wasn't Charles
It was Derek
Charles said:
It was Alan
It wasn't Derek
Derek said:
It was Charles
It wasn't Alan
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Method 1:
One of the 2 statements Alan made is a lie, meaning that either Brian or Derek committed the crime.
If it was Derek, both of Charles' statements are lies, meaning it isn't Derek as everyone told 1 false sentence and 1 true sentence.
If it was Brian , there are no contradictions, meaning Brian is the one who committed the crime.
Method 2:
If the person committing the crime is Alan, both of Charles sentences would be true and both Derek's sentences are false.
If it was Charles, both of the sentences Brian made are false and both Derek's sentences are true.
If it was Derek, both of Brian's sentences would be true and both of Charles' sentences are false.
As 2 people are not speaking one lie and one truth in these scenarios, Alan, Charles and Derek are not the one who committed the crime, meaning it is Brian .