Good Riddles

Question: A computer walks up to two stores, one called '1', and one called '0'. Which does it choose?

Question: What small place has a lot of money?

Question: I am duplicate of you, but only lighter. What am I?

Question: Wind and cord combine, buzzing in the box. In all this we find, though to some the use is lost. What am I?

Question: Which gate can you not go through?