Replace each alphabet with the number (1-9) to make the below equation correct.

AB * C = DE - F = GH / I

If I put in one bird per cage, I have one bird too many. If I put in two bird per cage, I have one cage too many. How many cages and birds do I have?

What kind of tree can you carry in your hand?

I am something people love or hate. I change peoples appearances and thoughts. If a person takes care of them self I will go up even higher. To some people I will fool them. To others I am a mystery. Some people might want to try and hide me but I will show. No matter how hard people try I will Never go down. What am I?

A man calls his dog from the opposite side of a river. The dog crosses the river without a bridge or a boat and manages to not get wet. How is this possible?

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

You need to move three matchsticks to form three squares. Can you do it?

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.

I am a prime number.
The double of myself is equal to the square of me.

which number am I?