The prefix ­"terra-" means related to the Earth and the prefix "celes-" means related to heaven, the sky, or outer space. As “terrestrial” is to Earth, so “celestial” is to space, so "space" is the correct answer. For clarification, “terrestrial” means of this Earth or observed on this Earth, and “celestial” means of space or observed in space or the heavens.

If you "double" something, you increase it by two-fold. The prefix "quad-" means related to the number four, so when you quadruple something, you increase it by four-fold. So, the correct answer is "four."

The prefix "pre-" usually suggest that the word will come before something or designate some beginning. In this instance, a “prelude” is an introductory event or piece of music. To solve this analogy, you have to determine which of the answer choices is something that comes after something else. The correct answer is an “epilogue,” which is the name given to a piece of writing that comes after the main narrative. None of the other answer choices make sense in the blank: “mandatory” means required; “laborious” means hard-work or exhausting; “legislate” means make laws; and “catalogue” means document and list some group of things when used as a verb and a booklet produced by a business showcasing the products that they are currently selling when used as a noun. 

The prefix "mal-" means evil or bad, and the prefix ­"ben-" means helpful or good. So someone who is “malevolent” is wicked and has a great deal of ill-will and someone who is “benevolent” is good-natured and has a lot of goodwill. So, the correct answer is "benevolent." None of the other answer choices make sense in the blank: “beneficial" means helpful; “malicious" means cruel and spiteful; “malcontent" means unhappy or not content; and “malfeasance" means something bad that someone does or a crime.

The suffix "-ible" means able to be and the roots "vis" and "aud" mean related to seeing and related to hearing or sound, respectively. “Visible” thus means able to be seen and “audible” means able to be heard, so "heard" is the correct answer.

The prefix "fall-" or "fals-" means having to do with lying, deception and dishonesty, and the prefix "mag-" means having to do with largeness and grandness. “Falsify” means change something in order to deceive, so to solve this analogy, you have to determine how “magnify” changes something. The correct answer is that “magnify” means make bigger or make appear bigger; just think of what a "magnifying glass" does. "Enlarge" also means make bigger, so "enlarge" is the correct answer. As for the other answer choices, “diminish” means make smaller, as does “reduce," and “grant” means give.

The prefixes dys- and in- carry negative meanings that take their words and cause them to mean the opposite. So “dysfunctional” means not working, and “inability” means lack of ability. Something that has an “inability” to do something is also “dysfunctional,” so these terms are loosely synonyms. To solve this analogy then you need to determine which word is closest in meaning to “cosmopolitan.” “Cosmopolitan” means international, exhibiting cultural diversity or knowledge; therefore the best answer choice is “worldly.” To provide further help, “innate” means natural; “focused” means not distracted; “feral” means wild; “perilous” means dangerous. 

The prefix ­"anglo-" means of or related to the English; the prefix "franco-" means of or related to the French. The suffix "–phobia" means fear. So "Anglophobia" is the fear of English people and "Francophobia" is the fear of French people.

The suffix, -phobe, (or -phobia), means fear, and the prefix, Sino-, means related to China or the Chinese. So a "Sinophobe" is someone who is afraid of China; in order to solve this analogy you have to determine which country a "Francophobe" is afraid of. The correct answer is “France.” The prefix, Franco-, means related to France or the French.

Triskaidekaphobia is the fear of the number thirteen. The suffix "-phobia" describes a fear. So, to solve this analogy, you have to determine what "heliophobia" is the fear of. The correct answer is “sunlight,” as you may have determined from the prefix "helio-," which means related to the sun or sunlight and is found in other words like "heliocentric" (having the sun at the center, used to describe the modern view of the solar system).