puzzle vs mystifier

puzzle and mystifier both are nouns.

Word	Noun	Adjective	Verb	Adverb
puzzle	Yes	No	Yes	No
mystifier	Yes	No	No	No

As nouns, puzzle and mystifier are synonyms defined as:

puzzle and mystifier: a particularly baffling problem that is said to have a correct solution

Other synonyms of puzzle include puzzler, teaser.

puzzle (noun)	mystifier (noun)
a game that tests your ingenuity	a particularly baffling problem that is said to have a correct solution
a particularly baffling problem that is said to have a correct solution

puzzle (verb)	mystifier (verb)
be a mystery or bewildering to
be uncertain about; think about without fully understanding or being able to decide