Question

  1. Alice, Bob, Charlie and Dianne each make the following statements:

    Alice: I am telling the truth.

    Bob: Alice is telling the truth.

    Charlie: Bob is telling the truth.

    Dianne: Charlie is lying.

    Only one of the four people is telling the truth. Which one? Explain your answer.

  2. They now make the following statements:

    Alice: Bob is lying.

    Bob: Charlie is lying.

    Charlie: I like beer.

    Dianne: 2+2=4.

    Now two of the four people are telling the truth. Which two? Explain your answer.

  3. They are now joined by Egbert. They each make the following statements:

    Alice: I like wine.

    Bob: Charlie is lying.

    Charlie: Alice is lying.

    Dianne: Alice likes beer.

    Egbert: Alice likes beer.

    Now three of the five people are telling the truth. Which ones? Explain your answer.