Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

What am I?

What is the difference between a jeweller and a jailer?

The day before yesterday I was 25 and the next year I will be 28. This is true only one day in a year. What day is my birthday?

What have one eye but still cannot see?

Where do fish keep their money?

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.

Twenty frogs are sitting on a log floating on the surface of a river. Two of them decide to jump off into the water.

How many frogs are there on the log at this moment?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

At a Society election for president, precisely 963 votes were cast.
There is a total of 4 candidates that participate in the election.

The winning candidate exceeds the opponents by 53, 79 and 105 votes.

How many votes do each candidate gets?