1 confusion, bewilderment, bafflement, distress, doubt, difficulty:
My perplexity grew as he related his version of the event.
2 intricacy, complexity, complicatedness, arcaneness, reconditeness, impenetrability, impenetrableness, involvement, unfathomability, obscurity, difficulty:
The more deeply the enigma was probed, the greater its perplexity.
3 puzzle, enigma, mystery, dilemma, problem, paradox, catch-22, quandary, predicament, bind:
Because of the interlocking directorships of the companies, we faced many perplexities in trying to sort out what had happened to the funds.