This is a word game analogy. The second word is an anagram of the first. Fire anagrams to rife and arm anagrams to ram. 

Undulation describes the movement of a wave so to solve this analogy you have to identify what the word meander is typically used to describe the movement of. Meander means to follow an indirect route with a series of twists and turns. This most accurately describes the movement of a river.

Something you find "infuriating" (to make furious) is also likely to make you "angry." To solve this answer you have to determine which answer choice is similar in meaning to "nauseating," which means to have been made nauseous, so the correct answer is “sickly.” For clarification, "amorous" means expressing or feeling deep love; "profound" means deep and meaningful; "passionate" means possessing great desire.

“Ventriloquism” is a noun that means “the art of projecting your voice so that it seems to come from another source.” So, ventriloquism is a kind of illusion that has to do with sound, and we need to pick out an answer choice in which the first word is a kind of illusion or trick and the second word is the sense that that illusion is associated with. While “sweet is to taste,” “tactile is to touch,” and “mirage is to sight” might each look like a potentially correct answer, neither “tactile” nor “sweet” are nouns that refer to illusions, so neither “tactile is to touch” nor “sweet is to taste” can be the correct answer. A “mirage,” however, is “an optical illusion caused by atmospheric conditions.” So, because mirages are a type of illusion associated with sight just as ventriloquism is a type of illusion associated with sound, “mirage is to sight” is the correct answer.

A quality typically associated with the country is to be rustic. Rustic means a plain and simple lifestyle. To solve this analogy you have to determine what time of community is best described as cosmopolitan. Cosmopolitan means culturally diverse and the correct answer is therefore “city.”

January is either two months after November or ten months before it. The only answer choice that has two months with the same relationship, in the correct order, is "May is to July."

The relationship here is one of utility. Surgeons use scalpels. There are a few answer choices that fit this relationship. Baseball bat is to baseball player could work, because baseball players use baseball bats, but they don't really use baseball bats in the same way that surgeons use scalpels. Surgeons use scalpels for cutting. That leaves us with "Samurai is to sword" and "Barber is to razor." The best choice is "Barber is to razor," because barbers use razors to help people. Samurais use them to hurt people, even if they are doing it to protect others.

A zebra is a horse-like animal with a striped coat; a tiger is a cat-like animal with a striped coat.

A recommendation is something someone would suggest that you do (but do not require), while a law is something you are ordered to do.

The harp is a string instrument, and the trumpet is a brass instrument. "Guitar is to flute" is a tempting choice, but the flute is a woodwind.