A "dispute" is a disagreement. To "mitigate" means to try and solve a disagreement between two or more parties. So, mitigate is an action taken when there is a dispute. To solve this analogy, you have to determine what situation is taking place if the action of alleviating occurs. "Alleviate" means to make better or to pacify, so it is an action that would be taken during a "crisis," a word which means emergency or disaster. So, "crisis" is the correct answer.

One uses a bat by swinging it, so we need to pick out an answer choice that conveys the object that one uses by dribbling it. While all of the answer choices might look like they could be potentially correct because each is a noun that relates to a sport, “dribble,” when used as a verb, can mean “to take a ball forward past opponents with slight touches,” usually when used to describe soccer, field hockey, and basketball. So, because “dribble” refers to how one might interact with a basketball, just as “swing” refers to how one might interact with a bat, “basketball” is the correct answer.

A chainsaw is a tool primarily used to cut down or disassemble a tree. Similarly, a jackhammer is a tool primarily used to break (or disassemble) cement.

None of the other analogies have this relationship:

Lumberjacks use axes, an axe is not a tool used to disassemble a lumberjack. A lumberjack is the profession of cutting down trees for lumber. 

School is the location where education takes place. The relationship between school and education is different than chainsaw to tree.

Factories produce cars. While cars may be disassembled at factories, factories are not specifically tools to disassemble cars.

A saw can disassemble a chair, however a saw's primary purpose is not disassembling chairs. 

To begin with "inscribe" means write, so one "inscribes" a "book." What does one do to a "mural?" Well, a "mural" is a large painting usually on a wall or the side of a building. So, the correct answer is "paint." Additionally, "mend" means fix; "demolish" means destroy, tear down; "replicate" means copy, reproduce.

To take land from another country is to "annex" it. So, to solve this analogy you need to determine what it is called when you take an "idea" from someone else. The correct answer is "plagiarize." To "plagiarize" is to steal someone else's idea or work and claim it as your own. Additionally, "surmount" means overcome, defeat; "maim" means cripple, injure, wound, cause to be wounded; "desist" means stop; "resume" means continue.

To go without "food" is to "fast." So, to solve this analogy you need to determine which of these is abstained from if one is practicing "temperance." The correct answer is "alcohol." "Temperance" is not partaking in alcohol, not allowing oneself to drink alcohol.

A "canal" is a man-made body of water that connects two or more natural bodies of water. "Canals" are used for "sailing." So, to solve this analogy you need to determine what it is that a "boulevard" is used for. A "boulevard" is a wide avenue in a city that is lined with trees. "Boulevards" are therefore used for "driving."

An "inauguration" is an event where the "president" is sworn into office. So, to solve this analogy you need to determine which of these assumes power during a "coronation." Well, a "coronation" is when a "king" or queen is crowned. Additionally, a "despot" is an autocrat, a tyrant, a person who rules a country with absolute power.

"Commute" is a verb that means to go to "work," to journey to or from "work." So, which of these places do you go to if you are "matriculating?" The correct answer is that "matriculate" means go to college, enroll at college.

A barber cuts hair, so the correct answer would demonstrate a similar relationship. Just as a barber cuts hair, a lumberjack cuts trees.