Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

If,

6 / 7 = 2
3 / 9 = 7
8 / 2 = 6

Then

4 / 5 = ?

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 ?

What runs around the whole yard without moving?

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

Why is 6 afraid of 7?

Which letter of the alphabet has the most water?

You’re out on the water and see a boat filled with people. You look away for a second and look back again, but this time you don’t see a single person on the boat. Why? Hint: The boat did not sink.

Remove two matchsticks to make the below equation correct.

In the attached figure, you can see a chessboard and two rooks placed on the chess board. What you have to find is the number of squares that do not contain the rooks. How many are there?