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

Detective Rockford was jogging near the beach at 4:30 am.
He hears a sound near the shack "No Michael, Please Do not shoot me".
Next instance he heard the sound of gunfire. Rockford rushes to the shack where he finds women lying dead and a gun in close proximity of three "Doctore Lawyer and a Teacher".

Rockford immediately knew that the Lawyer has committed the crime. How?

I have one of the three numbers: 1, 2, or 3 in my mind. I speak only truth. You can ask me just one question for which I will only reply in yes or no or don't know. What question will you ask from me so that you are able to know the number?

Look at me. I can bring a smile to your face, A tear to your eye, Or even a thought to your mind. But, I can't be seen. What am I?

Solve the below puzzle by replacing the question mark with the correct number.

3 6 12

4 8 16

5 10 ?

Here is a Swiss Cross. You have to make two straight cuts in the figure so that it is divided into four congruent pieces. Also, you should be able to join these pieces into a square then. Can you accept this challenge?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

How many words can a quill made with the feather of a pigeon write with a 100ml bottle of black ink?

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

I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?