Reply to "the most OR many"

David, Moderator posted:

Hello and welcome to the Grammar Exchange!

Mr President posted:

I answered .............. difficult questions. 
more   -    many    -    most    -    the most 

All four answers are correct. Each has a different meaning.

Would you like to discuss anything?

Yes, please and I'd be grateful if you could include a reference.
@David, Moderator