Is the statement valid that it does not matter how much older a sibling is, eventually the younger one will be half as old as the older one?

A thief is convicted in Mexico. He gets the death penalty. The judge allows him to say the last sentence to determine how the penalty will be carried out. If the thief lies, he will be hanged, if he speaks the truth he will be beheaded. The thief tells the last sentence and to everybody's surprise some minutes later he is set free because the judge cannot determine his penalty. What did the thief say?

You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.
How many remain now?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

Decode below three cipher riddles:

26 L of the A
7 D of the W
1000 Y in a M

Who always enjoys poor health?

How many bananas can you eat if your stomach is empty?

Replace the 'X' with any mathematical symbol to make the expression equal to 111.

18 X 12 X 2 X 3 = 111

Solve below rebus puzzle?

Which digit occurred maximum times between the number 1 and 1000?