"Compromise" means settle a dispute in order to reach an agreement by having each side give up something they want, so "settle" is the synonym. 

The word "ostracize" means exclude from some particular group. The best choice is "exclude" because it shares the same meaning as "ostracize." 

The word "oust" means remove from a position with force. "Remove" is the best choice because it is a part of the definition of "oust." Considering the other choices, "nurture" means take care of, "alter" means change, and "bequeath" means pass down, often to someone in a younger generation.

"Cajole" means persuade by flattering. "Flatter," which means praise excessively, is the best choice. Considering the other choices, "laugh" means produce a sound signifying happiness, "blame" means assign blame, and "tumble" means fall.

To “succumb” means to give in, to fail to resist. For example, eventually he succumbed to her affections, or after a long and hard battle, he finally succumbed to illness.  

The word "thwart" means defeat. "Defeat" is the best choice because it is a part of the definition of "thwart." Considering the other choices, "bust" means break when used as a verb, "relinquish" means hand over unwillingly, and "scheme" means devise a plan when used as a verb or plan when used as a noun.

“Collude” means work together in some plot or scheme against someone else. The prefixes "col-," "co-," and "com-" are used to mean with or together, as seen in the words “collude,” “combat,” or “copilot.” None of the other answer choices are close in meaning to "collude": “commend” means praise, and “harangue,” “rebuke,” and “scold” all mean verbally critique.

"Ascertain" means discover or find out, so "discover" is the correct answer. None of the other answer choices are close in meaning to "ascertain": "diminish" means lessen or weaken; "emulate" means mimic or imitate; "endorse" means support; and "concur" means agree.

"Spurn" means reject with contempt, so "reject" is the correct answer. None of the other answer choices are close in meaning to "spurn": "raze" means destroy completely; "fritter" means waste or squander resources or time; "quell" means crush or put down; and "outline" means summarize or create a document that organizes the main points of an existing text or a text one plans to write.

"Succumb" means surrender or give in, so "surrender" is the correct answer. None of the other answer choices are close in meaning to "succumb": "detest" means hate passionately; "peddle" means sell by going from one location to another; "impede" means block or prevent something; "extricate" means release or remove oneself from a situation.