Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

Spelt forwards I’m what you do every day, spelled backwards I’m something you hate. What am I?

See the given image carefully. What you have to do is move the blue checkers in the position of the black checkers and vice versa. You are only allowed to move the checker to an adjacent empty space. Do it in the least possible moves.

There is something which is always coming but never arrives?

Can you find out the remainder when 3^300 is divided by 5?

John and Jacob are twin brothers. One of them is a liar whereas the other one is a truth-teller.

I called their home number and one of them picked up.
I asked. 'Does John lie?' The person replied with a yes.

Whom did I talk with, John or Jacob?

A mother is 21 years older than her child. In exactly 6 years from now, the mother will be exactly 5 times as old as the child.
Where's the father?

There were three women in all the swimming costumes!
One was happy and the other two were sad!
The happy one was crying and the sad ones were smiling.
Why was this?

What is the longest word in the dictionary?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?