The prefix "arachno-" means related to spiders and the suffix "-phobia" means fear of, so “arachnophobia” is a fear of spiders. The prefix "aqua-" means related to water, so “aquahobia” is a fear of water. 

The word fragment "-athl­-" suggests a sporting or exercise term and indeed a “triathlon” is a sporting competition with three events. The prefix "tri-" means three. Similarly, the prefix "dec-" means ten, so a “decathlon” is a sporting competition with ten events. 

The suffix "-archy" means ruling, so in a “patriarchy,” the people are ruled by a man or a group of men. In a "matriarchy," the people are ruled by a woman or a group of women.

The prefix "dys-" is a negation prefix; this means it takes the original meaning of the word “functional” (working) and causes it to mean the opposite, so “dysfunctional” means not working. To solve this analogy, then, you need to determine which of the answer choices means the opposite of “endorse.” “Endorse” means give support to, so the best available antonym is “undermine,” a word that means work to prevent someone from succeeding or something from occurring or working. None of the other answer choices work as antonyms of "endorse": "support" is a synonym of "endorse"; “demonstrate” means show someone or a group how to do something by example; “pretend” means fake; and “harangue” means rebuke, scold, or tell-off.

The “medieval” period of history occurred between the ninth and fifteenth century CE in Europe and Asia. As it is a period of history, it can be said to be an “era.” To solve this analogy, you have to determine which of these categories “Mediterranean” fits into. It is worth noting that the prefix "med-" means middle, so the “medieval” period was so named because it was a middle period between antiquity and the modern day, while the Mediterranean sea was so named for being in the middle of Europe and Africa—that is, between the two continents. So, because the Mediterranean is a sea just as "medieval" is an era, "sea" is the correct answer.

A “century” is one hundred consecutive years, so to solve this analogy, you have to determine how many years a “millennium” is. The correct answer is a "thousand.” The prefix "cent-" means hundred, and likewise, the prefix "mil-" means thousand. Just think of "centipedes" and "millipedes" if you think you might get these confused. The key here is not to be confused by the fact that "millennium" does not refer to a span of a "million" years, despite "million" also beginning with "mil-."

You use scissors to cut, so to solve this analogy, you need to pick out an answer choice that is a verb that describes what you do with a needle. The correct answer is to “inject” something. The prefix "in-" means put into, so “inject” means to put something, usually a liquid, into something else. To provide further help, “induce” means force or cause to be, and “imply” means suggest. 

One would expect to be able to get books from a library, so to solve this analogy, you need to pick out an answer choice that is an object you would expect to be able to get from a bakery. You might expect to be able to get bakery from a bakery, so "bread" is the correct answer. None of the other answers make sense in the blank as something you might expect to get from a bakery; while you might expect to find an oven and a kitchen in a bakery, you wouldn't expect to be able to take these things with you like books from a library, so those answer choices are incorrect.

The prefix "in-" means into and the prefix "ex-" means out of. So, to “inhale” is to breathe in and to “exhale” is to breathe out. To solve this analogy, you need to identify the answer choice that is the opposite of “implicit.” “Implicit” means understood without having to be directly said, so the best antonym is “explicit,” which means obviously stated. None of the other answer choices are antonyms of "implicit": “implied” means suggested but not directly stated, so it is a synonym of implicit; "extraneous" means extra and not necessary; and “extrapolate” is a verb that means take certain information and reach some conclusion about it; and "interesting" means able to hold one's attention or fascinating.

The prefix "motor-" means related to cars, so a “motorist” is someone who is driving a car or other motorized vehicle. To solve this analogy, you need to determine which of the answer choices is a name for someone who is walking near traffic. The root "ped" means having to do with walking or feet, so the correct answer is “pedestrian.” When you walk along the side of the road or cross the street, you are a “pedestrian.” None of the other answer choices are words that mean someone who is walking near traffic: an “ambassador” is someone who represents a group’s interests, especially that of a nation, to a third party; a “mercenary” is someone who is paid to fight; a “representative” is someone who is elected to represent the interests of the people in government; and a “paramedic” is someone who responds to medical emergencies.