What number should come in place of the question mark below?

For this puzzle, you might have to find logic in something illogical. But hey, it's fun and a healthy little break from your strenuous puzzle-solving sessions.

Can you decipher the meaning in the following cluster of letters?

ITIT,NCENTCENT

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

Here is what you have to do. You have to throw a ball as hard as you can but it must return back to you even if it does not bounce at anything. Also, you have nothing attached to the ball. There is no one on the other end to catch that ball and throw it back at you.

How will you do it?

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

Imagine a box with two cogwheels, one big with 24 teeth and one small with 8 teeth. The big one is firmly attached to the center of the box which means it does not turn or move while the small one rotates around the big one.

How many times do you think that the smaller wheel will turn compared to the box when it turns once around the big one?

A man has a barrel filled with oil that weighs 100 pounds, and then he puts something into it. Now the barrel weighs less than 100 pounds. What did he put in the barrel?

A Child was born in Lahore, Pakistan.

Still child is not a Pakistani citizen.why ?

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?