What is the next number in this series?

4,12,84,3612....

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

A landlord calls both of his sons and tells them that their horses will now decide who will transfer the inheritance. He tells them to race along the land till the end and the one whose horse will be slower will win and be the heir to all the property.

Both of them keep wandering for days but to no result. Then they ask a wise man regarding it. The man advises them on the matter after which they jump on the horses and race as fast as they can till the end. Why did they do it?

What did the wise man say?

There was a blind man. He had four socks in his drawer either black or white. He opened it and took out two socks. Now the probability that it was a pair of white socks is 1/2.

Can you find out the probability that he had taken out a pair of black socks ?

I can be cracked, made, told, and played. What am I?

A father's child, a mother's child, yet no one's son.

Who am I?

Can you divide the below-given shape into four equal and identical pieces?

Quickly Solve this riddle

7 - 4 + 3 * 0 + 1 = ?

Two trains start at the same time, one from Bangalore to Mysore and the other from Mysore to Bangalore. if they arrive at their destinations one hour and four hours respectively after passing one another, how much faster is one train running than the other?

Find the next number in the series.
1 10 24 43 67 ?