A "beacon" is something, like a lighthouse, used to pass a message or warning. A "beacon" is used to "signal." So, to solve this analogy you need to determine what it is that you might use an "abacus" for. An "abacus" is an outdated instrument used for counting. The correct answer is therefore "count."

An "antiseptic" is something used to prevent "infection." So, to solve this analogy you need to determine what it is that "antiperspirant" is used for. The correct answer is that it is used to prevent "sweating."

"Hypnosis" is a technique used to put someone to "sleep." So, to solve this analogy you need to determine which of these is an action that is helped by "ointment." "Ointment" is cream applied to a wound in order to help with "healing." So, the correct answer is "heal."

The purpose of a "padlock" is to keep something safe, to lock something away, to "secure" something. So, to solve this analogy you merely need to determine what the purpose of a "lantern" is. Well, a "lantern" is a light, a torch. So, the correct answer is to "illuminate," which means to light up, to shed light upon. Additionally, "masticate" means chew; "begrime" means blacken, make dirty; "devastate" means completely destroy, ruin.

A "crank" is a device used to facilitate the "turning" of something. So, to solve this analogy you need to determine which of these is a device used for "mooring." Well, you first need to know that "mooring" means to fix a boat in place in a harbor so that it cannot be moved by the water. The correct answer is therefore "anchor." Additionally, a "harbor" is where boats are docked; a "tirade" is a long and impassioned verbal attack against someone or something; a "hearth" is a fireplace or a home; a "scowl" is an angry frown.

"Charcoal" is a material used to provide "fuel" or heat energy. So, to solve this analogy you need to determine what it is that "detergent" is used for. The correct answer is to "clean." Additionally, "vend" means to sell and "lend" means allow to borrow.

"Scaffolding" is some temporary structure erected during construction to help with "reinforcing" the building. So, "scaffolding" is used for "reinforcing," what is a "pyre" used for? The correct answer is that a "pyre," is a pile of flammable material used in a funeral burning. So, it is used for "cremating," (burning a dead body). Additionally, "abstaining" means not participating it, not taking part; "drenching" means soaking, making very wet; "reimbursing" means paying someone back money they are owed; "hoarding" means collecting items or money and hiding them or refusing to use them.

Since a sculptor creates works of art out of clay, we need to pick out another set of words in which the first word describes someone who creates art using the second word as their medium. While "painter is to paint" and "writer is to typewriter" may both look like good answers, a typewriter is not a writer's medium, but the tool they use to write. (Words or text would be a writer's medium.) "Painter is to paint" is the correct answer because a painter creates works of art out of paint (and canvas), just like a sculptor creates works of art out of clay.

A carpenter uses a hammer to build wooden objects, so we need to find a similar relationship in the analogies. A "metalworker" uses a "welding torch" to build metal objects. "Metalworker" and "welding torch" have the same relationship as carpenter and hammer.

A captain uses a boat, but the boat is not simply a tool for the captain, it is the captain's home. 

Birds hatch from eggs, there is no user or tool in this analogy.

Chefs make food, but food is not the tool of the chef.

The policeman is not the tool of the baton, but vice versa. Analogies must match conceptually, so if you have a user paired with a tool, you need to find an answer that also has a user and a tool.

Mechanics repair cars. Similarly, "plumbers" fix "toilets."

None of the other analogies have this relationship:

Drivers drive limos but typically do not repair them. Filmmakers make movies. Cowboys ride horses. A salesman sells cars.