The Liar Puzzle

A curious woman arrives on the shore of Runcible Island. This island is unique in that it is inhabitted by two tribes: the vegetarian truth tellers, who always tell the truth, and the cannibals who always lie. She makes her way from the shore until she meets a native who is standing at a fork in the road. One way leads to the cannibals' village, the other to the vegetarians'. She does not know from which tribe the native comes.

What one question can our curious explorer ask in order to establish which of the two roads leads to the vegetarians' village? Her question must be non-compound ie not containing "and", "but", "or" etc.

SOLUTION