You see me once in June, twice in November, and not at all in May. What am I?

You are given 16 witch hats. The hats are divided in four different colours – red, blue, green and yellow. Every colour has been assigned to four hats. Now each of the hat will be glued with a label of an arithmetic sign – ‘+’, ‘-‘, ‘x’ or ‘/’. But you can label one sign only once on one colour. In such an arrangement, the hats can be uniquely defined by its colour and symbol.

Can you arrange all the 16 hats in a 4x4 grid in a fashion that no two rows and columns have a repetition of colour or sign?
We have arranged four hats in the below picture to assist you.

What does this say?

XLR8

A farmer and his neighbour once went to Emperor Akbar"s court with a complaint. "Your Majesty, I bought a well from him," said the farmer pointing to his neighbour, "and now he wants me to pay for the water."
"That"s right, your Majesty," said the neighbour. "I sold him the well but not the water!"?
The Emperor asked Birbal to settle the dispute. How did Birbal solve the dispute?

John: "Hi Teacher, What is your favourite movie ?".
Chemistry Teacher: "Indium Cerium Platinum Iodine Oxygen Nitrogen".
Ten seconds later... John replied I got it.

Do you?

Can you solve below mathematical equation?

2^1234 - 2^1233

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

By moving exactly three matchsticks can you make the below equation true.It can be solved by 3 ways.

You need to cut a round cake into eight equal pieces with just 3 cuts. Can you do it?

I have a five and a three-gallon jar. Assuming there is an infinite supply of water, how can I measure one-gallon water?