Can you solve below mathematical equation?

2^1234 - 2^1233

What runs around the whole yard without moving?

The measurement of time, That can't be found on a clock, But can be looked upon on a map.

Who is He ?

How can you make number one disappear by adding something to it?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

Queen Elizabeth organised a royal party.

To Avoid uninvited guest royal family set a password.
Jack (an uninvited person) plan to enter the party. He stand nearby the door.

First guest comes, the security person said 'twelve' and guest replied with six.
Second guest comes , the security person said 'six' and guest replied with 'three'.

Jack thought is enough and he walked to the entry point. The security person said 'eight' , Jack replied smilingly 'four'.
He was immediately thrown out of the party. why ?

In the image below, you can see two glasses and two matchsticks.You need to move four matchsticks in such a manner that the crosses come inside the glasses. Note: you cannot move the crossed.

I welcome the day with a show of light, I stealthily came here in the night. I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.

What can you see in the middle of March and April that you can never see in any other month?

You need to pick one entry from pot A and one from pot B to have a perfect match. Can you do it?