Big and tall have similar meanings, just as hard and tough do.

"Monarch" is a noun meaning " a sovereign head of state, especially a king, queen, or emperor," so "monarch" and "king" are synonyms. That means we need to pick out a pair of words that are also synonyms. While "duchess is to duke" may look like a potentially correct answer, "duchess" means "the wife or widow of a duke," or "a woman holding a rank equivalent to duke in her own right," so the two words are not synonyms; however, the word "tale" means "a fictitious or true narrative or story, especially one that is imaginatively recounted" or "a lie"; since its first meaning is the same as that of "story," the two words are synonyms, just like "monarch is to king," and "tale is to story" is the correct answer.

"Aroma" is a synonym of "smell" because they mean the same thing, so to solve this analogy, you need to pick out the answer choice that is closest in meaning to "fragment." Both "fragment" and "piece" refer to a portion of a whole. So, a slice of cake is a "fragment" or "piece" of the whole cake. So, "fragment" is a synonym of "piece," and "piece" is the correct answer. To help you, "fragrance" means the smell of something.

"Sanitary" means free of germs or contaminants, so "sanitary" and "clean" are synonyms because they mean the same thing. So, to solve this analogy, you need to pick out an answer choice that means the same thing as "fallible." "Fallible" means able to fail or make mistakes, so the answer choice closest in meaning to "fallible" is "imperfect," which means not perfect or able to make mistakes. None of the other answer choices are close in meaning to "fallible."

"Hobble" is a verb that means "walk in an awkward way, typically because of pain from an injury," and limp is a verb that means "walk with difficulty, typically because of a damaged or stiff leg or foot." Because the two words mean the same thing, they are synonyms. So, we need to pick out an answer choice that is a synonym of "sprint." Since "sprint" means "run at full speed over a short distance," we need to pick out a verb that means something like "to run." "Dash," "walk," and "tiptoe" all refer to types of movement, but only "dash" means "run or travel somewhere in a great hurry." Since "dash" is the answer choice closest in meaning to "sprint," it is the correct answer.

“Frosty” is an adjective that means “very cold with frost forming on surfaces” when being used to describe the weather, or “cold and unfriendly in manner.” “Chilly” is an adjective that means “uncomfortably cool or cold,” “feeling cold” when used of a person, or “unfriendly.” So, “frosty” and “chilly” are synonyms, and we need to pick out an answer choice that also consists of two adjectives that are synonyms. While “fast is to plodding” might look like a potentially correct answer, “plodding” is a word that when used as an adjective, means “slow-moving and unexciting,” making it an opposite, not a synonym, of “fast.” “Annoying” is an adjective that means “causing irritation or annoyance,” and “irritating” is an adjective that means “causing annoyance, impatience, or mild anger.” So, “annoying” and “irritating” are synonyms, just like “frosty” and “chilly,” so “annoying is to irritating” is the correct answer.

An "opponent" is someone you face in a competition, so "competitor" is another word for "opponent." So, to solve this analogy, you have to figure out which of these answer choices is closest in meaning to "ally." An "ally" is someone who is on your side, a teammate, or a friend, so "friend" is the correct answer. To help you, a "novice" is a beginner, and is the opposite of an "expert," which means a master at some activity. An "adversary" is an enemy, and the opposite of an "ally," and "amateur" means someone who is not a professional at a certain activity.

"Ban" and "forbid" mean the same thing, so they are are synonyms of one another. So, to solve the analogy, you have to pick out the answer choice that is a synonym of "decree." "Decree" means order, so "order" is the correct answer. To help you, the other four answer choices are all synonyms of one another and mean pester.

"Plunge" means fall from a great height, so "plunge" and "fall" are synonyms of one another. So, you need to pick out an answer choice that is a synonym of "struggle." "Struggle" means resist an attack, so "resist" is the correct answer. None of the other answer choices are close in meaning to "struggle": "abandon" means to leave behind; "discard" means to get rid of; and "collect" and "gather" are synonyms that mean to come together as a group in a certain place or to collect objects in a single location.

When looking at the beginning of the analogy, "microscopic is to tiny," we know that the word "microscopic" means very small. We know this because "micro-" means very small itself, so using this prefix, it is possible to understand the rest of the meaning. "Tiny" thus means the same thing as "microscopic." The answer choice that also has a synonym relationship is "bright is to vibrant." "Bright" means having a glow, while "vibrant" means casting off strong colors or light. Therefore "bright" and "vibrant" are synonyms.