Tomi the liar
Tomi is a boy who like to lie (Don't be like him). He only said truth one day in a week.
One day he said (Day 1): " I lied on Monday and Tuesday".
The next day he said (Day 2): "Today is Sunday, Saturday, or Thursday".
The next day after the next day he said (Day 3) : "I lied on Friday and Wednesday".
On what day Tomi telling a truth?
Note:
If your answer is : Sunday answer 1, Monday 2, Tuesday 3, Wednesday 4, and so on.
Note:
I take the problem from Olympiad in my country
The answer is 3.
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On Day 1 and Day 3, Tomi used the same pattern of making statements, but ha couldn't have lied on both occasions since he only had one lie-free day. So Tomi is definitely lying on Day 2, so Day 2 can't be Sunday, Saturday nor Thursday. Either Day 1 is Friday or Wednesday, OR Day 3 is Monday or Tuesday.
Answer : Lie-free day is on Tuesday, or Day 3.