"Debility" means something that harms one or holds one back, a "weakness." So, to solve this analogy you need to determine which of these words is a synonym of "arrears." Well, "arrears" is money owed, or "debt." Additionally, "alms" is money given to the poor, charity; "tax" is money given to the government; "tithe" is money given to the church; and "income" is money earned.

"Metropolis" means urban center of a large empire or civilization. This is similar in meaning to "capital." So, to solve this analogy you need to determine which of these is a synonym of "ruin." Well, "perdition" is the condition of spiritual "ruin" and eternal damnation. Additionally, "sedition" is speech intended to cause discontent among a population, particularly to inspire action against the government; "secession" is the act of leaving a union; a "partition" is a wall or barrier meant to divide something; "misappropriation" is the act of taking something that does not belong to you and then misusing it.

This analogy is descrbes a synonymous relationship. "Ingest" is a synonym of "eat." So, the correct answer is "drink," which is a direct synonym for "imbibe."

"Rest," when used as a verb, and "relax" are synonym. So, to solve this analogy you need to determine which of these words has the same meaning as "ridicule" (make fun of, mock). The correct answer is "lampoon." Additionally, "supplant" means replace, take over control from; "inundate" means flood, overwhelm; "hemorrhage" means to be losing blood, or something else, very quickly; "opine" means declare, state as one's opinion. 

"Utopia" means "idealistic." It is therefore a synonym of "idealistic," so to solve this analogy you need to determine which of these has the same meaning as "opaque." Well, "opaque" means not transparent, cloudy, murky, not clear. Additionally, "jubilant" means very happy and celebratory; "imperious" means arrogant and domineering, assuming power for oneself; "perfidious" means treacherous, not trustworthy, duplicitous; "iconoclastic" means involving an attack on long-held and beloved beliefs.

Since a fortune is a lot of money and a pittance is "a very small or inadequate amount of money paid to someone as an allowance or wage," "fortune" and "pittance" are opposites, and we need to pick out a word that is an opposite of "excess." Since "excess" means "an amount of something that is more than necessary, permitted, or desirable," we should pick out a word that has to do with not having enough of something. While "paucity" and "decline" may both look like correct answers, decline is a verb, so it can't be the correct answer, as we need a noun. Since "paucity" means "the presence of something only in small or insufficient quantities or amounts; scarcity," "paucity" is the answer choice that is closest to being an antonym of "excess," so "paucity" is the correct answer.

"Ebullience" is a noun that means "the quality of being cheerful and full of energy; exuberance," and "lassitude" is a noun that means "a state of physical or mental weariness; lack of energy." Since the two words are antonyms, we need to pick out another pair of words that are also opposites. Since "ennui" means "a feeling of listlessness and dissatisfaction arising from a lack of occupation or excitement," "interest" is its opposite. Since "ennui is to interest" is the only answer choice whose words are antonyms, "ennui is to interest" is the correct answer.

Something that is precarious is not stable, and someone who is not lithe is clumsy. 

Stoic means not showing one's feelings or not complaining. Emotional means showing very strong feelings. Stoic is the opposite of emotional. Silent is the opposite of noisy. Thus, the two sets of words have the same relationship.  

Trivial is an adjective that describes an event of little importance. This is an antonym of significant so to solve this analogy you need to determine the best available antonym for self-aggrandizing. Self-aggrandizing refers to the act of exaggerating one’s own importance therefore an acceptable antonym would be modest. Modest means humble. For clarification boastful is an antonym of modest; lethargic means very tired.