Jerry likes to lie, he lies every day of the week except for one day. One day, he said "I lie on Mondays and Tuesdays." The following day, he said "Today is one of the following days, Sunday, Saturday, or Thursday". On the next day he said "I only lie on Fridays and Wednesdays!". On what day he's telling the truth?
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Jerry's 1st and 3rd statements can't be both true, or both false, because he only tells the truth on one day every week. Given by the number of possibilities :
If he doesn't lie on Mondays.. The third statement is true, although, that means the second statement is also true. So he'd be telling the truth on 2 days, in which is not possible.
If he doesn't lie on Tuesdays.. The third statement is true, and his words on Mondays is false. That way, there is only one day that he tells the truth. Therefore, he must be telling the truth on Tuesdays.