What is both possible and impossible at the same time?

A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

Can you decipher the following common phrase?

T M C
A U O
H S M
W T E

They do not possess flesh or feathers or scales or bone
But still, they are blessed with fingers and thumbs of their own.

Why did Buffon take the goal with him after every Juventus match?

I am white when I am dirty, and black when I am clean. What am I?

There once were seven dwarfs who were all brothers. They were all born two years apart. The youngest dwarf is seven years old. How old is his oldest brother?

A new Engineering building containing 100 offices had just been completed. John was hired to paint the numbers 1 to 100 on the doors. How many times will John have to paint the number nine (9)?

1 + 9 + 8 = ?
considering, 28 + 8 + 92 = 10

The world's largest Thanksgiving turkey was on display at a fair. Everyone was admiring it when suddenly a woman ran up and shot the turkey and left. Everyone knew her yet nobody made any attempts to stop or report her. Why?