Can you find a number that lies one third of the distance between 1/3 and 2/3?

How many times do a clock's hands overlap in a day ?

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

what does the below rebus means?

They are the five precious gems of an everyday sort and all can be found on a Tennis Court. Who are they?

A woman lives in a Tall building thirty-six floors high and served by several elevators which stop at each floor going up and down. Each morning she leaves her apartment and goes to one of the elevators. Whichever one she takes is three times more likely to be going up than down. Why?

Look at the below sequence of letters and tell us what the next letter should be:

O T T F F S S ?

Today, I celebrated my 32nd birthday but I was born in 1972.
How is this possible?

100 prisoners are stuck in the prison in solitary cells. The warden of the prison got bored one day and offered them a challenge. He will put one prisoner per day, selected at random (a prisoner can be selected more than once), into a special room with a light bulb and a switch which controls the bulb. No other prisoners can see or control the light bulb. The prisoner in the special room can either turn on the bulb, turn off the bulb or do nothing. On any day, the prisoners can stop this process and say "Every prisoner has been in the special room at least once". If that happens to be true, all the prisoners will be set free. If it is false, then all the prisoners will be executed. The prisoners are given some time to discuss and figure out a solution. How do they ensure they all go free?

John is 45 years older than his son Jacob. If you find similarities between their ages, both of their ages contain prime numbers as the digits. Also, John's age is the reverse of Jacob's age.

Can you find their ages?