mention vs quote

mention and quote both are nouns.

Word	Noun	Adjective	Verb	Adverb
mention	Yes	No	Yes	No
quote	Yes	No	Yes	No

As verbs, quote is a hyponym of mention; that is, quote is a word with a more specific, narrower meaning than mention:

mention (noun)	quote (noun)
an official recognition of merit	a punctuation mark used to attribute the enclosed text to someone else
a remark that calls attention to something or someone	a passage or expression that is quoted or cited
a short note recognizing a source of information or of a quoted passage

mention (verb)	quote (verb)
make mention of	repeat a passage from
commend	refer to for illustration or proof
make reference to	put quote marks around
	name the price of