What work can one never finish?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

A Doctor always sneezes before the rain. Doctor sneezes, Will it rain?

What does it mean?

Consider this: Arnold Schwarzenegger has a big one. Michael J. Fox has a small one. Prince doesn’t have one. The Pope has one but never uses it. Bill Clinton has one and uses it all the time. What is it?

How many pluses should we put between the digits of 987654321 to get a total of 99, and where?

There are two dice with empty faces in front of you and a marker. You can mark any number on each of the faces of the two dice, but you have to display all 31 days of the month using the two of them.

Which numbers will you mark on which dice so that you can easily depict all the dates of the month?

I can be cracked, made, told, and played. What am I?

You have a three-gallon and a five-gallon measuring device. You wish to measure out four gallons.

A woman lives in a skyscraper thirty-six floors high and is served by several elevators which stop at each floor going up and down. Each morning she leaves her apartment and goes to one of the elevators. Whichever one she takes is three times more likely to be going up than down. Why?