Find three whole, positive numbers that have the same answer when multiplied together as when added together.

I am beautiful, up in the sky. I am magical, yet I cannot fly. To people I bring luck, and to some people, riches. The boy at my end does whatever he wishes. What am I?

What is the fastest way to double your money?

In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

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?

One day, I thought of ways that can be used for creating a palindrome. So I decided that I will turn into a larger number by adding the reversed digits to the original number and keep doing it till I finally obtained a palindrome.

I am not sure if this process will always result in a palindrome eventually but I was able to produce a four-digit palindrome. Can you guess my starting number?

My location can be determined by the below rebus.
So where am i ?

I have an eye but still cannot see.

Who am I?

Can you find out the remainder when 3^300 is divided by 5?

"That Restaurant always remains crowded. This is the reason why nobody goes there".

Can you find a flaw in this statement?