I believe it would be B, vanquish. For one to use such a fancy and strong word, would sound as if one were boasting. Example: "The young man brazenly claimed that he had vanquished the massive bear."
If this is multiple choice you need to add the choices.
the answer should be flabergash
4) Time-consuming lab work
3) Exhaustive note taking
It's asking you proof that Ramirez is a demanding teacher not about the course itself so it is not 1, 2, 4 or 6. It is 4 and 3 because it shows Ramirez was demanding by enforcing a heavy load of work