Logic Riddles

Question: A poor woman takes an expensive piece of jewelry, when she is caught the owner of the jewelry tells her "You can have this for seven figures or you will go to jail." The woman soon leaves with the jewelry.

How did she do this?

Question: I am a nice word composed of five letters, but the Romans would call me a numbers.

What am I?

Question: There are 100 passengers boarding a 100 passenger airplane. When passenger 1 gets onto the plane, he is dissoriented, so he randomly picks a seat. Each of the remaining passengers (2, 3, 4, etc.) get onto the plane and take their seat if it is available or picks one of the remaining seats at random if it is not.

What is the chance that the last passenger (passenger 100) will get his seat?

Question: What is the easiest way to poke a balloon without popping it?

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?