"Desperate" means "hopeless." "Studious"  means studying hard and working hard in academic pursuits. "Healthy" means in good health and free from illnesses. "Courageous" means brave. "Reliable" means dependable and responsible.

Dismal means miserable.

"Illicit" is an adjective that means "forbidden by law, rules, or custom," so we need to pick out another word that means "forbidden." While "condoned" might sound like a potentially correct answer, "condoned" means "accepted and allowed to continue" and used of things that are morally wrong or offensive, "condoned" does not mean the same thing as "illicit," so it cannot be the correct answer. Since "illegal" means "contrary to or forbidden by law, especially criminal law," "illegal" is the answer choice closest in meaning to "illicit" and the correct answer.

"Lucrative" means profitable or able to make a lot of money, so "profitable" is the correct answer. None of the other answer choices are close in meaning to "lucrative": "devoted" means loyal or dedicated; "widespread" means occurring in many different places; "current" means up-to-date or happening in the present; and "urban" means having to do with cities instead of the countryside.

"Egalitarian" means having to do with the idea that all people deserve to be treated equally, so the answer choice closest in meaning is "equal." As for the other answer choices, none are close in meaning to "equal": "equestrian" means having to do with riding horses; "crinkled" means wrinkled; "ideal" means conforming to one's idea of perfection or the best possible; and "swift" means speedy or quick.

"Impromptu" means unplanned, extemporaneous, off the cuff, or not scheduled in advance, so "unrehearsed," which means not rehearsed in advance, is the correct answer. "Planned" is an antonym of "impromptu"; it means organized or scheduled in advance. None of the other answer choices are close in meaning to "impromptu"; "athletic" means physically fit or having to do with athletes; "greedy" means overly concerned with the accumulation of money or other resources for oneself; and "faithful" means loyal and devoted.

If someone is “divisive” they cause a lot of disagreement between people and cause them to separate into different groups. "Divisive" shares a root with "division" and "divide." If you are “factious” then you are inclined to create and maintain small groups or factions. Do not mistake it for “fractious” which means causing trouble or hard to manage. To clarify, “undermined” means to make weaker or less effective, usually in a secret way; “determined” means working hard to achieve something; “regretful” means wishing you had not done something. 

"Intriguing," means to arousing curiosity or interest, so "interesting" is the best answer.

If a business is “lucrative,” it makes a lot of money or it is able to make a lot of money. “Profitable” also means able to make a lot of money or profit. If something is “hindering,” it prevents something from moving forward. You can tell the meaning of the word "hindering" from its root word "hind-," which means back. An animal’s “hind” legs are their back legs. “Recreational” refers to something done in one's spare time. “Sensational” means shocking or amazing.

"Formidable" is an adjective that means "inspiring fear or respect through being impressively large, powerful, intense, or capable." So, we need to pick out an answer choice that means something like "inspiring fear or respect." "Afraid" may look like a potentially correct answer, but "afraid" does not mean "inspiring fear," but rather "feeling fear or anxiety; frightened," so it cannot be the correct answer. "Accomplished," however, is an adjective that means "highly trained or skilled," and because "accomplished" is the answer choice that is closest in meaning to "formidable," "accomplished" is the correct answer.