People put me on the table and cut me but do not eat me. What am I?

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 solve the tricky chess rebus puzzle below by ciphering the hidden meaning?

What is so fragile that saying its name breaks it?

I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?

The more it dries, the wetter it becomes. Can you tell what it is?

I am the black child of a white father, a wingless bird, flying even to the clouds of heaven. I give birth to tears of mourning in pupils that meet me, even though there is no cause for grief, and at once on my birth, I am dissolved into air. What am I?

Can you name some countries which do not have the alphabet 'A' in them?

When I got four, I have it none.
When I got two, I have it some.
When I got none, I have it all.

What is it?

What goes up but never comes down?