I travel all around the world but always stay in the corner. What am I?

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

Different lights make me strange by changing me into different sizes. What am I?

Can you place six matchsticks in a manner that each of the matchsticks is in touch with the other five matchsticks?

How many triangles are there in the picture below?

There is an ancient kingdom where every married woman keeps information regarding the fidelity of other men. However, what they don't know is the fidelity of their own husbands. Also, there is an ancient belief that they don't tell each other about the fidelity of their husbands.

On a certain day, the queen of the kingdom declares that she has identified at least one unfaithful man in the kingdom. She allows the wives to identify and gives them authority to kill their husbands if they are unfaithful at midnight.

How will the wives manage it?

Which is faster, Heat or Cold ? Explain.

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 do you see in the image below

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?