I have branches, but no fruit, trunk or leaves. What am I?

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?

Can you count the number of quadrilaterals in the picture below?

John killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

A boy was at a carnival and went to a booth where a man said to the boy, "If I write your exact weight on this piece of paper then you have to give me $50, but if I cannot, I will pay you $50." The boy looked around and saw no scale so he agrees, thinking no matter what the carny writes he'll just say he weighs more or less. In the end the boy ended up paying the man $50. How did the man win the bet?

What number replaces the question mark

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different.

How do you measure 45 minutes?

Which digit occurred maximum times between the number 1 and 1000?

How many triangles are there in the picture below?

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?