Can you identify the hidden rebus in the image below?

I am a type of word that is spelt incorrectly or used differently, on purpose for humour. What am I?
Hint 1: You can find me in a joke.
Hint 2: I am a play on words.

The below given figure comprises of a pattern through which you can determine the missing letter. Can you push your mind to find the pattern and add the missing letter?

How many words can a quill made with the feather of a pigeon write with a 100ml bottle of black ink?

What does this mathematical rebus means ?

Can you divide the below-given shape into four equal and identical pieces?

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?

Count the Triangle in the figure given below:

1. What does:
TIM JOB
represent?

2. What does:
MO_ _
represent?

100 prisoners are stuck in the prison in solitary cells. The warden of the prison got bored one day and offered them a challenge. He will put one prisoner per day, selected at random (a prisoner can be selected more than once), into a special room with a light bulb and a switch which controls the bulb. No other prisoners can see or control the light bulb. The prisoner in the special room can either turn on the bulb, turn off the bulb or do nothing. On any day, the prisoners can stop this process and say "Every prisoner has been in the special room at least once". If that happens to be true, all the prisoners will be set free. If it is false, then all the prisoners will be executed. The prisoners are given some time to discuss and figure out a solution. How do they ensure they all go free?