Can you solve below mathematical equation?

2^1234 - 2^1233

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not-rounded numerals equals 24.

John said, "If yesterday was tomorrow, today would be Friday."

When did John make this statement?

What can you hold in your right hand, but never in your left hand?

How many bananas can you eat if your stomach is empty?

I am a white box having no key or lid.
Yet there is a golden treasure inside it.

What Am I?

Which of the below owl is odd one out?

Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number is it?

A river should be crossed by a father, a mother and their two sons and two daughters.
There are some rules that should be followed while crossing the river. There can be only two people in the raft while crossing. The daughters cannot be with their father unless there is the presence of the mother. The sons cannot be with their mothers unless the father is present. Unless the guard is on the board, the criminals cannot be with any of the family members. Only the adults like the father, the guard, and the mother knows to use the raft.

How will they cross the river?

There is an exact a week gap between Christmas and New Year. Hence, It is obvious that the new year that comes right after Christmas comes on the same day of the week.

A Strange thing happened in the Year 1777. Christmas occurs on Wednesday and New Year on Monday. How is that possible?