What is the centre of gravity?

It spends most of its day eating white, but when it’s quick enough, it gets to eat fruit and sometimes some blue things. It’s in a dark room, where the walls are blue, it runs from a ghost that roams the halls and haunts it all the time. What is it?

Using Only Five 5's and any mathematical operator make sum as 37

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

Can you write down eight eights so that they add up to one thousand?

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

Find the next number in the series.
1 10 24 43 67 ?

I have no doors but I have keys, I have no rooms but I have space, you can enter but you can’t leave! What am I?

You visit a home for specially-abled children on the occasion of Christmas where you meet with 50 children. You have a box of chocolates containing 50 chocolates exactly.

What if you were asked to one chocolate to each child in a manner that one chocolate still remains in the box? Is it possible?

What will you call your mother's brother's brother-in-law?