Thrive and flourish are both synonyms that mean to do well or succeed; therefore you need to identify the best synonym for indignant, which means angry or furious. The correct answer is “incensed” which means to have been made very angry. For clarification, "lethargic" means exhausted and is the antonym of energetic.

Since "sycophant" is a noun that means a self-seeking person who flatters powerful people to win their favor, it is a synonym of "flatterer." So, in selecting an answer choice, we're looking for two words which are synonyms. While "farmer is to husbandry" may initially look like a good answer choice, the two words are not synonyms, as a farmer practices husbandry. (If the answer choice said "farming is to husbandry," then it might be considerable). "Monarch is to king" is the best answer choice, because just like a sycophant is a flatterer, a king is a monarch. 

Balcony and mezzanine are synonyms, as are porch and veranda. 

When you avert something, you prevent it. When you augment something, you increase it. 

"Charmed" means having good luck on a consistent basis, making this analogy based on synonyms. "Charmed" and "lucky" are also adjectives, the same part of speech. "Enemy" is a noun, so we are looking for a similar word that is also a noun.

The correct choice is "adversary" (root "vers" = to turn from (think of your back and vertebrae)). An "enemy" is someone who is an opponent, someone you fight with or contest.  

An "associate" (noun) is someone you work with, not against, making it an antonym.

"Conniving" (verb) is the action of a person who is aware or a part of doing something illegal or immoral. This may describe someone who is an enemy, but is not another word for an enemy itself.

"Awful" (adj) is also a description of someone who could be an enemy, but is not a noun.

"Supervisor" (noun) is a noun but does not necessarily mean someone who is an enemy; (prefix "super" = above and root "vis" = to see), referring to someone who manages or oversees others.

"Oceanic" and "aquatic" are both adjectives referring to taking place in the water or ocean. To follow the analogy, the correct answer should also be an adjective similar in meaning to extensive. "Extensive" means reaching out far. Prefix "ex" = out, root "tens" line.

"Pervasive" (adj), meaning spread throughout, is the correct answer. Prefix "per" = through, root "vas" go.

"Exclusive" (adj) means pertaining to a limited area. Prefix "ex" = out, root "clus" = shut. This is an antonym, not a synonym.

"Finite" (adj) having limits. It is also an antonym of extensive.

"Hefty" (adj) does mean large, but has a connotation that refers to mass.

"Extrovert" (noun) is someone who is outgoing and sociable and who gains energy from social interaction.  Prefix "extro" = outside, beyond, root "vert" turn/change. This could be synonymous if the word were an adjective.

"Ebb" and "recede" are synonyms, both words mean go out, move away from. So, to solve this analogy you have to determine which of these is a synonym of "ordain." To "ordain" is to make holy, to make sacred, or to "sanctify." Additionally, "quibble" means complain about something minor, argue about something petty; "rescind" means withdraw, take back; "gratify" means please, give pleasure and satisfaction to; "ventilate" means allow air to circulate, 'air out.'

To begin with "renounce" and "abdicate" are both loosely synonyms of one another. They both mean to give something up, to abandon something. Although usually "renounce" means to give up, to abandon an idea and "abdicate" means to give up on and abandon power. So, to solve this problem you need to determine which of these answers has the same meaning as "burden." The correct answer is "encumber" which means burden with, weigh down with. Additionally, "disburse" means spend, pay for; "sequester" means isolate, lock-away; "allot" means assign to, give to; "forge" means either make, create or falsify, make up, lie about.

"Confine" and "imprison" both mean to lock up, they are synonyms of one another. So, to solve this analogy you need to figure out which of these answers is a synonym of "liberate" which means set free, make free. The correct answer is "extricate" which means free someone from a constraint. Additionally, "permit" means allow to happen; "digress" means stray, move away from the main point; "apprehend" means catch and arrest; "induce" means cause to happen, make happen.

A "decree" is the same thing as an "order." To solve this analogy, you need to determine which of the answer choices is a synonym of "deadlock." "Deadlock" refers to a situation in which two sides cannot make any progress. Another word for this is an "impasse." A "muse" is an inspiration for a work of art, and to "muse" about something is to think deeply about it. A "courier" is a messenger, and a "rendition" is a performance of something.