quandary vs perplexity

quandary and perplexity both are nouns.

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

As nouns, perplexity is a hypernym of quandary; that is, perplexity is a word with a broader meaning than quandary:

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

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