"Oceanography" is the study of oceans and ocean-life, which you can infer from the word being a combination of the word "ocean" and the suffix "-ography," which means the study of. To solve this analogy, you have to determine what "geology" is the study of. The prefix "geo-" in "geography" might help you to pick out the correct answer. "Geo-"  means of or relating to the earth, and appears in other words like "geographic" and "geode." It makes sense, then, that "geology" is the study of rocks, so "rocks" is the correct answer.

"Solar" means from or related to the sun, so to solve this analogy, you need to pick out a word that means from or related to the moon. "Lunar" means from or related to the moon, so it is the correct answer.

"Solar" is an adjective that means either "of, relating to, or determined by the sun," or "relating to or denoting energy derived from the sun's rays." So, "solar" describes things related to the sun, and we need to pick out the answer choice that consists of a noun that "lunar" describes. While all of the answer choices have to do with astronomical phenomena, "lunar" specifically means "of, determined by, relating to, or resembling the moon," so "moon" is the correct answer because just as "solar" describes things that relate to the sun, "lunar" describes things that relate to the moon.

"Quick" is an adjective that means fast. "Quickly" is an adverb that means to do something fast. Although "quick" adds an “-ly” when it changes from an adjective to an adverb, "fast" does not; "fast" can be both an adjective and an adverb. So, the correct answer is "fast."

"Heresy" is rebellion against the church, so to solve this analogy, you have to determine which organization "sedition" rebels against. "Sedition" is actions or words intended to incite rebellion against a governmental authority, so the correct answer is the “government.”

“Abdicate” is a verb that means to give up power or responsibility, usually in the context of royalty. Since “throne” is a noun that means a chair occupied by royalty, used to indicate power, we’re looking for a pair of words with an object-verb relationship in which the first word is a role and the second word is a verb that means to give up that role. 

“Vacate” is a verb that can mean either to leave or to give up a position. Since “building” is a place and not a position, we can rule out this choice.

“Impeach” is a verb means to charge with misconduct, sometimes forcing an official out of office as a result. Since, in this case, power is taken and not given up, we can rule out this choice.

“Reject” is a verb that means to dismiss as inadequate or to refuse to agree. And since an “offer” is only a proposal and not an actual role, we can rule out this choice. 

“Resign” is a verb that means to give up a position.

Of the answer choices, “POSITION is to RESIGN” is the best choice.

A heretic is someone who goes against religious orthodoxy or someone who tries to overthrow the established religious order. So, to solve this analogy, you therefore have to determine what it is that an anarchist wishes to overthrow or go against. The correct answer is the “government,” because an "anarchist" is someone who believes in and fights for the abolition of government. While "legislative" might look like a potentially correct answer because the word is used to describe the part of the govenrment dealing with the creation of laws, "religion" is a noun in the example, so we need to pick out an answer that is also a noun, and "legislative" is an adjective.

You may have already known that another word for "fall" (as in the season after "summer") is "autumn." So, "autumnal" means related to the autumn, related to the fall. To solve this analogy then you need to determine which of these words is described by "vernal." The correct answer is "spring," because "vernal" means related to the spring.

The prefix "inter" is generally used to mean between, among. As in "international." So, to solve this analogy you need to determine which of these is a prefix generally used to mean within. The correct answer is "intra," as in "intramural." 

"Omniscient" means all-knowledgeable, having knowledge of everything. The prefix omni- means all. So, what does "omnipotent" mean? You may have figured out that "potent" means powerful, so "omnipotent" means all-powerful, having power over everything.