What breaks yet never falls, and what falls yet never breaks?

I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?

One day, all the courtiers from Akbar's court were gathered in the assembly hall when one of them told the Emperor that all his valuables had been stolen by a thief the previous night.
This shocked the Emperor to his core as the place where that courter stayed was the most secured in the kingdom. The Emperor thought that it is not at all possible for an outsider to enter into the courtier's house and steal the valuables. Only another courtier could commit this crime. He quickly called Birbal to identify the thief.
Birbal thought for a while and successfully solved the mystery by identifying the thief in just one statement.
What did Birbal say?

I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?

A boy was at a carnival and went to a booth where a man said to the boy, "If I write your exact weight on this piece of paper then you have to give me $50, but if I cannot, I will pay you $50." The boy looked around and saw no scale so he agrees, thinking no matter what the carny writes he'll just say he weighs more or less. In the end the boy ended up paying the man $50. How did the man win the bet?

Can you name four days which start with the letter 'T'?

You see a boat filled with people, yet there isn’t a single person on board. How is that possible?

I have no life, but I can die. What am I?

Replace the question mark with the correct number.

There are nine letters in the below-given diagram. You have to form a nine-letter word using these letters.