ask out vs quest

ask out is not a noun while quest is a noun.

Word	Noun	Adjective	Verb	Adverb
ask out	No	No	Yes	No
quest	Yes	No	Yes	No

As verbs, quest is a hypernym of ask out; that is, quest is a word with a broader meaning than ask out:

Other hypernyms of ask out include ask for, bespeak, call for, request.

ask out (noun)	quest (noun)
	the act of searching for something
	a search for an alternative that meets cognitive criteria

ask out (verb)	quest (verb)
make a date	seek alms, as for religious purposes
	express the need or desire for
	bark with prolonged noises, of dogs
	search the trail of (game)
	make a search (for)