There are nine letters in the below-given diagram. You have to form a nine-letter word using these letters.

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

How many pluses should we put between the digits of 987654321 to get a total of 99, and where?

A dead body is found outside a multi-story multinational company. The case is reported and a homicide detective is called on the crime scene.

He looks at the body and then towards the building. From the position of the body, it is evident that the victim committed suicide. He goes to the first floor of the building and then walks in the direction of the dead body, opens the window and toss a coin in the air.

He goes to second floor and again repeats the process. He keeps doing this till he is done on all the floors. Then he returns back to the floor and tells his team that it is a murder.

How in heaven did he deduce that?

Who is that with a neck and no head, two arms and no hands? What is it?

When Jack was six years old he hammered a nail into his favourite tree to mark his height. Ten years later at age sixteen, Jack returned to see how much higher the nail was. If the tree grew by five centimetres each year, how much higher would the nail be?

Known by all without exception, Forever here, for your protection, Sometimes strong, sometimes weak, Right after the night I come - hot and chic. And while millions of miles away, I always get to you, I find my way. No life around could do without me, Can you guess what I might be?

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

What word begins and ends with an E, but has only one letter?

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