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

The King of a distant land had heard that Birbal was one of the wisest men in the East and so desired to meet Birbal. He sent Birbal an invitation to visit his country.

In due course, Birbal arrived in the distant kingdom. When he entered the palace he was flabbergasted to find not one but six kings seated there. All looked alike. All were dressed in kingly robes. Who was the real king?

The very next moment he got his answer. Confidently, he approached the king and bowed to him.

How did Birbal know who was the real king?

What has 13 hearts but no other organs?

Solve the alphametic puzzle by replacing the alphabet with the number.

S T O R M +
S O L E S
=========
T O W E L
=========

What breaks yet never falls, and what falls yet never breaks?

Replace each alphabet with the number (1-9) to make the below equation correct.

AB * C = DE - F = GH / I

Three fair coins are tossed in the air and they land with heads up. Can you calculate the chances that when they are tossed again, two coins will again land with heads up?

Nine marbles are arranged in the image below. Can you slide two marbles to form a square?

There are forty elephants and they have forty-fore heads. How can this be possible?

What can you deduce from the following BrainBat?

CRY
LMKI