What does this mathematical rebus means ?

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

Can you convert the number zero(0) into a positive number using just one mathematical operator ?

What is more useful when it is broken?

There is a shop where written:
Buy 1 for $1
10 for $2
100 for $3
I needed 999 and still only paid $3. How could this be financially viable for the shop-keeper?

What is the centre of gravity?

What is in seasons, seconds, centuries and minutes but not in decades, years or days?

500 women soldiers are arranged in an array of ten rows and fifty columns in accordance with their respective heights. Now, the tallest woman from each row is asked to move out in the front. From them, the shortest one is labelled as Alpha. They are then asked to resume their original position.

Now, the shortest woman in each column is asked to come out in front. The tallest among them is labelled as Beta.

Can you find out if Alpha will be taller or Beta?

A finger goes in me. You fiddle with me when you're bored. The best man always has me first. What am I?

A Child was born in Lahore, Pakistan.

Still child is not a Pakistani citizen.why ?