Logic Riddles

Question: You stand at a fork in the road. Next to each of the two forks, there stands a guard. You know the following things: First that one path leads to paradise, the other leads to Death. You cannot distinguish between the two paths. You also know that one of the two guards always tells the truth and the other always lies. You have permission to ask one guard one question to discover which path leads to paradise. What one question would you ask to guarantee you take the path to paradise?

Question: Mr. Smith has 4 daughters. Each of his daughters has a brother.

How many children does Mr. Smith have?

Question: A boy at a carnival went to a booth ran by a man who said "If I can write your exact weight on this piece of paper then you have to give me $50, but if I cannot, I will pay you $50." The boy looked around and saw no scale so he agreed, thinking no matter what the carny writes he'll just say he weighs more or less. In the end the boy ended up paying the man $50.

How did the man win the bet?

Question: When is homework not homework?

Question: There are 1600 people sitting around a circular table. The first person (person 1) has a sword and kills the second person then hands it to the next alive person (in this case person 3). Person 3 stabs person 4 and gives the sword to person 5. This goes on until person 1499 kills person 1500. Then person 1 kills person 3 and so on. This is repeated until there is only a single person remaining.

Who remains in the end?