Logic Riddles

Question: You have a horrible disease but thankfully there is a medicine for it. Everyday you must take one pill called Batz and one pill called Scatz. On the very first day, you pour one Batz in your hand then you pour two Scatz in your hand by accident! These pills are identical and if you take too much or too little of either pill on any day you will die. You cannot get a refill or throw any pills away.

How can you still take the pills you have in your hand and live?

Question: There are three boxes labeled "Apples", "Oranges", and "Apples and oranges". Each box has the wrong label on it. How could you correctly label all three of the boxes by taking only one piece of fruit fruit from one of the boxes?

Question: Everyday a peasant must pay the king one pound of gold and leave it on a collection plate in front of his house. Every morning a guard comes by to make sure he has put a pound of gold on the plate. The king collects the gold every six days from the plate. If the peasant only has one six pound block of gold, how can he make only two parallel cuts and still follow the kings rules each day?

Question: You have two buckets: one with only white marbles and one with only black marbles. The two buckets have the same number of marbles.

How can you rearrange the marbles to maximize your chances of grabbing a white marble from each?

Question: You are running in a 400 meter race and you overtake the last person, what place are you now in?