Fun Riddles

Question: You have an 8 by 8 chess board that has two corner squares diagonal from each other removed. Is there any way to place 31 dominoes of size 2x1 to cover the remaining 62 spaces?

Question: You put me in dry but then I get wet.
The longer I stay in, the stronger it will get.

What am I?

Question: There are two boys at an international math contest in December 2013; one is British and one is American. They both write their names, the date, and their answers on the paper. The only problem is that they both have the same name and the papers cannot be told apart.

What is the date?

Question: Wednesday, Tom and Joe went to a restaurant and ate dinner. When they were done they paid for the food and left. But Tom and Joe didn't pay for the food.

Who did?

Question: Can you rearrange the letters in new door to make one word?