How many times do a clock's hands overlap in a day ?

what does the below math rebus puzzle mean?

Find the next number in the series?
2, 12, 36, 80, 150, 252, 392, _ ?

An artist while painting a scenic beauty, decides to paint three layers of blue colour on the sky.

Which layer will go on the first?

The answer I give is yes, but what I mean is no. What was the question?

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?

Which city is three-fifths chick two third cat and 50% goat?

I never was there, I am always to be.
You have never ever seen me, not ever you will.
Yet I am the confidence of everyone.

Who Am I?

Can you divide the below-given shape into four equal and identical pieces?

You have an empty wine bottle with a cork that has been secured at the top in a normal way. There is a metal ring inside the bottle that is suspended by a string.

How can you make the metal ring drop to the bottom if you are not allowed to touch anything - not the bottle, not the cork, not the thread and not the ring?