Anna, Eva and Tatiana visited my house one day. The following conversation took place:
Anna
: Wow, this house has more than 100 scorpions!
Eva
: No, I saw at most 100 scorpions in this house.
Tatiana
: I know that I saw at least one scorpion.
If only one of these girls told the truth, how many scorpions are in my house?
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Relevant wiki: Truth-Tellers and Liars
Anna's proposition : > 100 scorpions
Eva : <= 100 scorpions
Tatiana : >= 1 scorpions
The propositions of Anna and Eva are contradictory. So, they can't tell truth or lie in the same time. One of them is saying truth and the other one is lying.
Because only one of those three girls is saying truth, it means that Tatiana is telling a wrong proposition.
We have then to take the contradictory of Tatiana's proposition.
<1 scoprions are in my house !
So, 0 scorpions are in my house :)