Good Riddles

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?

Question: When you fall in me your as happy as could be, but you fall into depression when you lose me.

What am I?

Question: You have two coconuts and you want to find out how high they can be dropped from a 100 story building before they break. But you only have $1.40 and the elevator costs a dime each time you ride it up (it's free for rides down).

How can you drop the coconuts to guarantee you will find the lowest floor they will break at, while starting and ending at floor 1?

Note: They break when dropped from the same height and they don't weaken from getting dropped.