The host of a game show, offers the guest a choice of three doors. Behind one is a expensive car, but behind the other two are goats.
After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).

Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter?

Count the number of squares in the picture below.

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

When is the top of a mountain similar to a savings account?

When it's bad luck to meet a black cat?

A prisoner is told: "If you tell a lie, we will hang you and if you tell the truth, we will shoot you." What did the prisoner say to save himself?

Can you find the largest Three-digit number whose sum is 14 and whose square is less than 5,00,000?

There are 2 cops parked along a one-way street looking for traffic violations. They spot a taxi driver going in the wrong direction, yet they do nothing.

Why?

What is the largest amount of money that you can possess in change and still if someone asks you for a dollar, you won't be able to give?