I am first found in caves, now prolific online; I am a depiction, a drawing, a symbol, or sign. I will convey whichever mood you could wish; or for that matter, a fist, flask, or fish. What am I?

Imagine a box with two cogwheels, one big with 24 teeth and one small with 8 teeth. The big one is firmly attached to the center of the box which means it does not turn or move while the small one rotates around the big one.

How many times do you think that the smaller wheel will turn compared to the box when it turns once around the big one?

The Little ant seems to be always confused. Do you know why?

Can you find the mistake in the below statement?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

The following sentence is false. The preceding sentence is true.
Are these two sentences true or false?

A woman lives in a Tall building thirty-six floors high and 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?

A certain street contains 100 buildings. They are numbered from 1 to 100. How many 9's are used in these numbers?

What is in seasons, seconds, centuries and minutes but not in decades, years or days?

When I asked a girl's name she told me her name is the date '07/09/2001'.

I thought for a few seconds and then I got her name. Do you?