This test is just flat out WRONG.
For one, "judgment" (without the "e") is used exclusively in the legal field, i.e., motion for summary judgment. Judgement (with an "e") is the commonly used by people in everyday writing, i.e., "Against his better judgement." See Webster's.
supersede/supercede: both are appropriate and listed in Webster's.
alright/all right: generally depends on the context, and is also appropriate in either form; again, see Webster's. E.g., "I got them all right." vs. "Alright, class, open your textbooks to page one."
But I did get "minuscule" and "desiccate" wrong . . .
we're all living proof that nothing lasts