What is both possible and impossible at the same time?

A finger goes in me. You fiddle with me when you're bored. The best man always has me first. What am I?

Can you replace the X (both small and big x) with the numbers between 1 to 19 such that all the rows of 3 numbers between X (big x) sum to 23?

What has one eye, but can’t see?

Can you count the number of children in the picture below

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 find the missing letter in the sequence?
S - T - I - L - ? - T - F - Y - C

Move three sticks of the spiral below to form a square.

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

What can you catch but never throw?