Here is a mathematical expression that also secretly tells a movie name. What movie is that?

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?

I am a type of vehicle that has two wheels and is powered by humans. What am I?
Hint 1: You can ride me for exercise.
Hint 2: I am environment-friendly.

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

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

Can you find the number?

You stand in front of two doors. A guard stands next to each door. You know the following things: one path leads to paradise, the other leads to death. You cannot distinguish between the two doors. You also know that one of the two guards always tells the truth and the other always lies. You have permission to ask one guard one question to discover which door leads to paradise. What one question would you ask to guarantee you enter the door to paradise?

A finger goes in me. You fiddle with me when you're bored. The best man always has me first. What am I?

Outside a massage parlour, there is a board that reads
"I only massage those who do not massage themselves."

Reading the above statement, does the masseur massage himself?

What runs around the whole yard without moving?

What number do you get when you multiply all of the numbers on a telephone's number pad?