A Doctor always sneezes before the rain. Doctor sneezes, Will it rain?

I am something people love or hate. I change peoples appearances and thoughts. If a person takes care of them self I will go up even higher. To some people I will fool them. To others I am a mystery. Some people might want to try and hide me but I will show. No matter how hard people try I will Never go down. What am I?

Move four matchsticks to the below square to form three squares?

Most people think of me as money. But when they find me in the water, they won’t get any money out of me. What am I?

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

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.

Which statement is true out of the following?
One statement here is false.
Two statements here are false.
Three statements here are false.

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

People are waiting in line to board a 100-seat aeroplane. Steve is the first person in the line. He gets on the plane but suddenly can't remember what his seat number is, so he picks a seat at random. After that, each person who gets on the plane sits in their assigned seat if it's available, otherwise, they will choose an open seat at random to sit in. The flight is full and you are last in line. What is the probability that you get to sit in your assigned seat?

A word I know has six letters it contains, remove one letter and 12 remain. What is it?