Help Greg!!!

Logic Level 3

Hello. Someone murdered a stranger and now everyone is blaming your best friend, Greg. The judge can tell only one person is telling the truth, but he/she doesn't know it is your friend. You cannot ask anyone else anymore questions as they are gone. Which statement(s) make it possible to prove Greg's innocence, and who did it? Person 1 It was Greg! Person 2 It wasn't me! Person 3 I don't know what you're talking about Greg It wasn't me

Greg did it!!! Statement 2 and 1 and 2 did it Statements 1 and 3 and 3 did it Statements 2 and 3 and 2 did it Statement 3 and he did it Statement 1 and he did it

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2 solutions

Richard Desper
Jul 18, 2019

If Person 1 did it, both Person 2 and Greg are telling the truth, so that is not possible.

If Person 3 did it, both Person 2 and Greg are telling the truth, so that is not possible.

If Greg did it, both Person 1 and Person 2 are telling the truth, so that is not possible.

Thus Greg didn't do it, and he must be telling the truth.

Since Greg is telling the truth, the other three are lying, and in particular, Person 2 is lying when he said he didn't do it.

Dishith Borra
Jul 18, 2019

It couldn't have been person one and person 3 as that would make Greg and person 2 both right, but only one person is telling the truth. As person one said it was Greg, both person one and person 2 are telling the truth if Greg did it, so it must have been person 2. This means these were the 2 statements that freed Greg.(Person 3 was lying, but he/she hadn't done anything.)

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