a puzzle in the style of Raymond Smullyan
There is an Island on which there are three different people: One Group always says the truth, the other always lies and the third group switches, they say the truth then a lie, truth and so on.
A scientist comes to the island and meets with three people A,B,C (he knows that every group is represented). He asks one question:"To which group do you belong?"
As first answer (A1): "C always tells the truth"
As second answer (B1): "B switches"
B1: "A always lies"
B2: "C switches"
C1: "A switches"
C2: "I always tell the truth"
Figure out which person belongs to which group?
A1: I always tell the truth
A2: B always lies
B1: I switch
B2: C always lies
C1: I tell the truth
C2: A always lies