How can a man go eight days without sleep?

A maths symbol is hidden in the below Bar Graph. Can you decipher it?

The centre of the third figure is empty. What digit should fit inside?

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equal wastage. You have two sacks one labeled Heads and the other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sacks.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem are maximum?

Our product and our sum always give the same answer. Who are we?

I went to the bookshop and spent one-half of the money that was in my purse.

When I came out, I found that I had as many cents as I had dollars and half as many dollars as I had cents when I went in. Find the money in my purse when I entered the store.

You can see three almost identical images below. Can you spot the odd one out from them?

An artist while painting a scenic beauty, decides to paint three layers of blue colour on the sky.

Which layer will go on the first?

I have an eye but still cannot see.

Who am I?

The picture shows the dice results in each couple of throws. If they are actually following a pattern, can you find out the missing one?