I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?

If you’ve got me, you want to share me; if you share me, you haven’t kept me. What am I?

What jumps when it walks and sits when it stands?

What word is pronounced the same if you take away four of its five letters?

A man dies of old age on his 25 birthday. How is this possible?

Who always enjoys poor health?

15 caves are arranged in a circle at the temple of doom. One of these caves has the treasure of gems and wealth. Each day the treasure keepers can move the treasure to an adjacent cave or can keep it in the same cave. Every day two treasure seekers visit the place and have enough time to enter any two caves of their choice.

How do the treasure seekers ensure that they find the treasure in the minimum number of possible days?

Can you solve the maths in the below-given picture equation?

John went to a parrot shop in Mexico, and the parrot owner told him that his parrot is so unique that he repeats everything he hears. John got excited and immediately bought the parrot. John went home and spoke many words, but the parrot does not repeat anything.
He went again to the parrot shop and complaint to the shopkeeper, but the shopkeeper never lied. Explain?

My friends called me Iron59 because my parents are a chemist and a mathematician. What is my real name?