A "milliner" is someone who makes hats as an occupation so to solve this analogy you have to determine what it is that a cartographer makes. The correct answer is “maps”; a cartographer is a map-maker.

The relationship between "spider" and "web" is that a spider creates a web. The best choice is "musician is to song" because musicians create songs. Considering the other choices, "nest is to bird" has the same relationship, but is in the incorrect order of product to producer, instead of producer to product as the question is worded, which makes "musician is to song" a better choice. In "grasshopper is to insect" the relationship is that a grasshopper is a type of insect, in "wall is to house", a wall is a part of a house, and in "spider is to arachnid", a spider is a type of arachnid.

Milk is an edible product produced by the cow. "Caviar" is an edible product produced by "fish." None of the other analogies have this relationship.

Clothing is made from cloth, but clothing is not an edible product, nor does cloth actively produce clothing. Wood becomes ash when burned. Plants produce chlorophyl, but chlorophyl is not an edible product. Eggs and bacon are both food, but one does not produce another.

A "lantern" is a lamp, a light, something that is used to produce light. So, to solve this analogy you need to determine what is produced by a "furnace." The correct answer is "heat."

A "broker" is someone who helps others to buy and sell stocks. So, which of these is bought and sold by a "realtor?" The correct answer is "houses."

A "blacksmith" is someone who shapes iron and other metals for a job. A "sword" is something that is produced by a "blacksmith," so to solve this analogy you need to determine which of these is something that is produced by a "carpenter." Well, a "carpenter" is someone who shapes wood into furniture for a job. So, the correct answer is "table."

The purpose of a "furnace" is to provide "heat." So, to solve this analogy you need to determine what the purpose of a "generator" is. Well, a "generator" generates "electricity," so this is the correct answer.

A "legislator" is someone who works in government and makes "laws." So, to solve this analogy you need to determine which of these is an item made by a "cobbler." The correct answer is that "cobblers" make "shoes."

A "crater" is a hole in the ground formed by the impact of a meteor with the surface of a planet. A "crater" is therefore formed by a "collision." So, to solve this analogy you need to determine which of these is formed by "erosion." Well, "erosion" is the process of wearing something down through constant exposure to wind and water. "Cliffs" are formed by "erosion."