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

This is a picture puzzle. You have to guess the name of the movie that can be related to the picture.

Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
The colour of each hat is purely random. They could all be green, blue, or any combination of green and blue.
They need to guess their own hat colour by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $10,000 each, but if anyone guesses incorrectly they all get nothing.
What is the best strategy?

What happened when the wheel was invented?

No one wants to have it, but if one got it, he does not want to lose it. What is It?

Imagine a box with two cogwheels, one big with 24 teeth and one small with 8 teeth. The big one is firmly attached to the center of the box which means it does not turn or move while the small one rotates around the big one.

How many times do you think that the smaller wheel will turn compared to the box when it turns once around the big one?

What mathematical symbol can be put between 5 and 9, to get a number bigger than 5 and smaller than 9?

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?

A mathematics teacher took exams for his students. Out of the total students, 25% passed both the tests included in the exam. However, only 42% were able to clear the first test.

Can you find out the percentage of those students who passed the first test and also passed the second test?

What is in seasons, seconds, centuries and minutes but not in decades, years or days?