perplexity vs quandary

perplexity and quandary both are nouns.

Word	Noun	Adjective	Verb	Adverb
perplexity	Yes	No	No	No
quandary	Yes	No	No	No

As nouns, quandary is a hyponym of perplexity; that is, quandary is a word with a more specific, narrower meaning than perplexity:

perplexity: trouble or confusion resulting from complexity
quandary: state of uncertainty or perplexity especially as requiring a choice between equally unfavorable options

Other hyponyms of perplexity include closed book, enigma, mystery, secret, maze, snarl, tangle, dilemma.

perplexity (noun)	quandary (noun)
trouble or confusion resulting from complexity	state of uncertainty or perplexity especially as requiring a choice between equally unfavorable options
	a situation from which extrication is difficult especially an unpleasant or trying one