If you say my name, I will no longer exist. What am I?

What is black when you buy it, red when you use it, and gray when you throw it away?

What comes
Once in a Year
Twice in a Month
4 times in a Week
6 times in a Day

I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?

John can place six large boxes or nine small boxes into a carton.

Can you find out in how many cartons can he place sixty-six boxes in total?

You are confined in a room and given two metal rods. Out of these two rods, one is magnet and the other is the iron rod. They look starkly similar. You don't have any other metal object in the room.

How will you decide which one of those is magnet?

This is a famous paradox which has caused a great deal of argument and disbelief from many who cannot accept the correct answer. Four balls are placed in a hat. One is white, one is blue and the other two are red. The bag is shaken and someone draws two balls from the hat. He looks at the two balls and announces that at least one of them is red. What are the chances that the other ball he has drawn out is also red?

Before the start of the car race, John and Jacob have the same amount of fuel in their car. With this fuel, John can drive for 4 hours while Jacob can drive five hours.
After a time they realize that the amount of fuel left in John's car is 1/4th of the fuel in Jacob's.

For how long they are racing?

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

James bond was pushed out of an aeroplane without any parachute.
He survived, How come?