What begins with T, ends with T, and has T in it?

1. What does:
TIM JOB
represent?

2. What does:
MO_ _
represent?

What's the only room from which no one can enter or leave

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?

Can you solve below mathematical equation?

2^1234 - 2^1233

10+10 and 11+11 can give you the same answer.

Explain how?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?

This is a picture puzzle. You have to guess the name of the movie that can be related to the picture.