“Beguile” means to charm or entice someone, so the correct answer is “entice," which means to tempt someone. For clarification, "deride" means to mock, and "quell" means to suppress or subdue.

“Becalm” means soothe or make calm. The prefix "be_-"_ means to make or to cause, so it makes sense that "becalm" means make calm. So, "soothe" is the correct answer. As for the other answer choices, “mock” means make fun of, and “intrepid” means brave and adventurous.

"Beseech" means beg or ask someone to do something, so "beg" is the correct answer. "Combine" means blend or put together. "Direct" is a verb that means order or command. "Warn" means inform someone of a potential danger. "Familiarize" means become familiar with something or gain information about a person or topic.

Berate means to scold angrily and at length.

"Outfox" is a verb that means trick or defeat someone by being more clever than him or her, so we need to pick out a word that means trick using wits. While many of the answer choices also begin with "out," only "outwit" has a meaning similar to "outfox." Since "outwit" means to trick or win against someone by being more clever than him or her, it is the correct answer.