Can you find the key in the picture below?

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?

They are the five precious gems of an everyday sort and all can be found on a Tennis Court. Who are they?

What does an Island and the letter T have in common?

What can you see in the middle of March and April that you can never see in any other month?

what does the below rebus means?

A man is lying dead in a field where no one is around. His head is split open and his legs are disfigured. Near to him, there is an unopened package. No living organism can be found anywhere at the crime scene.

How did he die?

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

I know a nine-letter word having only one vowel.
Do you ?

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?