Five children(boy or girl) were playing soccer, one of the five broke a window of a house. The house owner comes and asks them: Who broke the window? Each child made three statements , where two statements are true and one statement is false. Five boys/girls are, James, Mike, Vinny, Jack and Sara.
James:
• I didn't do it.
• Sara will tell who did it.
• One of us is in big trouble.
Mike:
• Jack did it.
• I didn't do it.
• I don't even like to play soccer.
Vinny:
• I didn't do it.
• Jack and I are good friends.
• Sara doesn't know who did it.
Jack:
• Mike lied when he said I broke the window.
• I never saw Vinny before.
• I never broke a window in my life.
Sara:
• I saw Jack break it.
• I didn't break the window.
• I want to go home.
Who broke the window?
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If it was James
James would have told two lies (via Sara's lie), so it can't be him.
If it was Mike
Mike would have told two lies, so it can't be him.
If it was Jack
Jack would have told two lies (via Mike's truth), so it can't be him.
If it was Sara
Sara would have told two lies, so it can't be her.
This leaves V i n n y as the culprit, because all of the others would have told two lies if it was them.
To confirm:
There are a few statements that we can't necessarily prove as True or a Lie. We have to assume they are true until another statement contradicts it.