Logic Riddles

Question: Three gods A, B, and C are called, in no particular order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter. Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one god. The gods understand English, but will answer all questions in their own language, in which the words for yes and no are da and ja, in some order. You do not know which word means which.

What three questions can you ask?

Question: A man is found dead in a phone booth in a pool of blood. The glass on either end of the phone booth is broken and the phone is hanging. Just outside of the phone booth is a bucket and a stick.

What happened?

Question: The rich landlord wants to marry the beautiful farmer's daughter. He tells the daughter that if she doesn't marry him, he will evict her father from the farm and they will be homeless. She begs for mercy. Slyly, the landlord agrees to allow her one chance to stay. He pulls a bag from his pocket, and reaches down and picks up 2 stones from the rocky path then places them in the bag. Reach into the bag and pull out one stone. If you pull out the black stone you will agree to marry me. If you pull out the white stone you and your father can live here rent free. The problem is that she knows that he picked up two black stones and no matter which one she selects she will be forced to marry him. What can she do to avoid marrying the greedy landlord?

Question: A woman was reading in the basement when her husband, thinking the basement was empty, turned off the light. The woman continued reading. There were no lamps or flashlights and the light her husband turned off didn't come back on. How was the woman able to read?

Question: Fifty is my first, my second is the third in fourth, and my end is the end of an ending. With a nut I become a nut that isn't, and without one I move.