What does this rebus riddle means ?

I inserted a coin in a bottle and closed its mouth with the help of a cork. Now, I was able to take the coin out from the bottle without taking out the cork or breaking the bottle. Can you tell me how I did it?

Can you solve below mathematical equation?

2^1234 - 2^1233

Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

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

Who am I?

Chocolate costs 6 rupees and a Toy costs 5 rupees. If you have 32 rupees in total, how many chocolates and how many Toys can be purchased with that amount?

Do you know of a place where the wind blows south and then suddenly shifts direction towards the north?

I am lying and I always lie. Tell me whether I am lying or telling the truth.

You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?

What do you get if you add 2 to 100 four times?