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

Vin Diesel is pulling a theft and has planned to run away with all the cash kept in the safe. But the only way to open the safe is the 13 character password. He has a set of five clues given to him by a trustworthy source.

Exactly two of the below statements are false.
The password is contained within this sentence.
The password is not in this hint.
The password is within only one of these statements.
At least one of the above statements is a lie.

What is harder to catch the faster you run?

Look at the picture and find out which square is not linked with any of the other squares.

Can you Find and name the hidden bird in the picture below ?

A finger goes in me. You fiddle with me when you're bored. The best man always has me first. What am I?

Can you complete the sequence?

192, 021, 222, 324, 252, 627, 2__, 9__?

You have four chains. Each chain has three links in it. Although it is difficult to cut the links, you wish to make a single loop with all 12 links. What is the fewest number of cuts you must make to accomplish this task?

Prove that twice of ten is the same as twice of eleven.

A car is crossing a 20 km-long bridge. The bridge can support at most 1500kg of weight over it. If somehow, the weight on the bridge becomes more than that, it will break.

Now, the weight of the car is exactly 1500kg. At the midway, a bird comes and sits on the roof of the car. This bird weighs exactly 200 grams.
Can you tell if the bridge breaks at this point or not?