Someone is about to be executed because he killed someone and he is asked how he wants to die by a strange question:
If you say something true now, you will be executed with electricity, if you say something false you will be executed with a gun.
Then our guy says something and they could not kill him.
What could he say?
Answer
He says
"I will be killed with a gun"
So:
If the statement is true he should be killed with electricity, making it false.
If it is false he will be killed with a gun, making it true.
Hence it is a paradox and they let him go as the statement can be neither true or false.
Alternatively as @sousben points out, he could say
'You will not kill me with electricity' - which is the logical reverse of the other statement and therefore does the same
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