Prove that twice of ten is the same as twice of eleven.

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

Can you make numbers like 24, using numbers 3,3,7 & 7 with any arithmetic operator?

Find the Odd One Out?
84129
32418
47632
36119
67626
72927

A bomb goes off.
Carnage.
One person, only a few feet away, survives! How can this be?

In a chess board, the queen piece can move horizontally, vertically and diagonally freely. The picture represents the same.Can you place 8 queens on the board in a manner that none of the queens can attack each other?

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?

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

John, Jack and Jill are in a desert. John doesn't like Jill and hence decides to murder him. He poisons the water supply of Jill. Since it is a desert area, Jill must drink or he will die of thirst.

Jack does not know of the actions of John and also decides to murder Jill. To succeed in his ill motives, he removes the water supply of Jill so he dies of thirst.

Jill dies due to thirst. Who murdered Jill?

Which of the following words don't belong in the group and why?
CORSET, COSTER, SECTOR, ESCORT, COURTS