Visible crew/equipment: When Groucho enters the rehearsal area, the shadow of the camera is visible behind him.
Continuity mistake: During Astaire's big number "Top Hat, White Tie and Tails," he produces an invitation on stage, sings about it, then crumples it up, and tosses it away. It must be nearby on the stage, but when we finally see the entire stage, the invitation is gone.
Audio problem: A native descends a rope to beat on a drum and signal those inside to open the door. As the native beats on the drum, his actions and the drum sounds become further and further out of synchronization.
Continuity mistake: For the early happy ending, Ellery Queen takes the jeweller by surprise giving him the pearl necklace, and the fella, incredulous, touches his breast. The hands swap position at the first cut. (00:07:25)