1. In the forest, two gnomes lived - Senya and Vanya. Senya lied on Mondays, Tuesdays, and Wednesdays, while Vanya lied on Tuesdays, Thursdays, and Saturdays. On all other days, they only told the truth. One day, upon meeting, one of them was asked: "What is your name?"

- Senya, - he replied.
- And what day of the week is it today?
- Yesterday was Sunday.

His friend added: "And tomorrow will be Friday." They asked his friend: "Are you telling the truth?"

- I always tell the truth on Wednesdays, - he replied.

Who is Senya, who is Vanya, and on what day of the week did this conversation take place?
Solution. The first gnome cannot be Senya, and can only be Vanya, and on the day of the conversation, he was lying. The second gnome was Senya, and he was also lying. Both gnomes could only lie on Tuesday.

Answer: the first - Vanya, the second - Senya, the conversation took place on Tuesday.