What is both possible and impossible at the same time?

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

My location can be determined by the below rebus.
So where am i ?

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.

A girl was sitting in her hotel room when she heard a knock on the door. She opened the door and found that a man was standing outside.
The man said, "Oh! I am really sorry, I thought this was my room."
He then walked through the corridor to the elevator. The girl did not know the man. She closed her door and called security asking them to apprehend the man.
What made her suspicious of that man? He might have been genuinely mistaken.

Which English verb becomes past tense just by rearranging the letters?

What number comes next in this sequence:
7 8 5 5 3 4 4 _

The dirtier I get, the whiter I look. Who am I?

Replace the question mark with the number below given a simple math problem.

A mathematician couple was having a Frappuccino in Starbucks sitting opposite to each other. Suddenly the guy noticed the text written on the paper in front of them and exclaimed that it was wrong. The girl denied it and said it is appropriate. Both are correct. What is written on the paper?