Synonyms

Quell means to suppress, subdue, or put down an uprising. Bursar is a financial officer in an institution, completely unrelated to suppressing. The other options all mean to suppress or subdue.

Quest means a journey or search in pursuit of something. Travelogue is a written account or film about travel, not the act of traveling itself. The other options all describe journeys or searches.

Queue means a line or sequence. Never ending doesn't mean queue and doesn't fit grammatically. The word Qqueue appears to be a typo for Queue. File, chain, and string all describe lines or sequences.

Quibble means to argue or raise petty objections. Fervent means intensely passionate or enthusiastic, completely unrelated to arguing. Protest, cavil, and grouse all mean to complain or raise objections.

Quiescent means inactive, quiet, or dormant. Voracious means extremely hungry or greedy, unrelated to inactivity. Dormant, inert, and idle all mean inactive or motionless.

Quirk means an unusual behavior or peculiar feature. Smirk means a smug or silly smile, unrelated to unusual behaviors. Eccentricity, oddity, and peculiarity all refer to unusual traits or behaviors.

Quip means a witty or clever remark. Slang refers to informal language, not specifically witty remarks. Pun, jest, and witticism all refer to clever or humorous remarks.

Quotidian means daily, ordinary, or everyday. Remarkable means extraordinary or worth noticing, the opposite of quotidian. Diurnal, everyday, and routine all mean daily or recurring.

Quisling means a traitor or collaborator with enemy. Trepidation means fear or anxiety, unrelated to betrayal. Turncoat, secret agent, and traitor all relate to betrayal or treachery.

Quixotic means idealistic, romantic, or utopian - having unrealistic ideas. 'Lewd' means sexually obscene or crude, which is completely unrelated to the meaning of quixotic. The other options (Utopian, Extravagant, Romantic) all share some semantic overlap with quixotic's idealistic nature.

Quiver means to tremble or shake slightly. 'Shake', 'Quaver' (tremble in voice), and 'Shudder' all describe trembling movements. 'Flake' means to peel off in layers or refers to a fragment, which has nothing to do with trembling.

 To be stubborn is to be unmoving which is similar in meaning to resolute which means to be resolved. Hence, this is correct.

Rapture means a feeling of intense pleasure, happiness or ecstasy. Happiness is the closest synonym among the options, while legal and dumb are completely unrelated to the meaning of rapture.

Patriot is one who loves and defends his or her country; a nationalist. Option 1 is the correct answer. Option 2 is incorrect, as soldier is one who serves in an army. Option 3 and 4 are incorrect, as both investigator and policeman investigate about crime.

Stout means bulky or heavy.  Option 1 is incorrect, as it's an antonym. Option 2 is incorrect, as beautiful means pretty.