"A hiker is lost in the mountains but stumbles into an area where it is known that all inhabitants are either True-tellers or Liars, meaning that an individual either always tells the truth or always lies. She meets a man at a fork in the road and wants to learn the way to the nearest village by asking only one question. Explain why she will not learn the way to the village by asking any of the following questions:
a.) Are you a truth-teller AND does the left fork lead to the village?
b.) Are you a truth-teller OR does the left fork lead to the village?
c.) If you are a truth-teller, does the left fork lead to the village?