Can you solve below mathematical equation?

2^1234 - 2^1233

A person was found dead on a big green land with no trees or buildings around. When the police arrived, they found a piece of rock lying next to him and the man was wearing clothes comprising of red, blue and yellow colours.

Can you tell who the person is and what was the cause of death?

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

It has a long neck, A name of a bird, Feeds on cargo of ships, It's not alive,

What is it?

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equal wastage. You have two sacks one labeled Heads and the other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sacks.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem are maximum?

It spends most of its day eating white, but when it’s quick enough, it gets to eat fruit and sometimes some blue things. It’s in a dark room, where the walls are blue, it runs from a ghost that roams the halls and haunts it all the time. What is it?

Guess the hidden movie name?

81 x 9 = 801. What must you do to make the this equation true?

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

Who am I?

How many pluses should we put between the digits of 987654321 to get a total of 99, and where?