Problem D

Out of This World

On a far away planet, there are two types of inhabitants: Veres, who always tell the truth, and Nugators, who always lie.

Four of the inhabitants of the planet are seated around a circular table. When asked, “Are you a Vere or a Nugator?”, all four replied, “Vere”. When asked, “Is the person on your right a Vere or a Nugator?”, all four replied, “ Nugator”.

How many Veres are seated at the table? Verify that your solution is the only possible solution.