A "fork" is something that is used in "eating." So, to solve this analogy you need to determine what it is that a "pen" is used for. The correct answer is that a "pen" is used for "writing."

"Archery" is a sport that you need a "bow" in order to take part in. So, to solve this analogy you need to figure out which of these is an object that you need in order to practice "surfing." The correct answer is that you need a "board."

The purpose of a "jar" is to "preserve" (save to be used or eaten later) something. So, to solve this analogy you need to determine which of these answers describes the purpose of a "key." The correct answer is that a "key" is used to "lock" things. Additionally, "crucial" is an adjective that means very important, needed, vital.

A "junction" is a place where two or more things are joined together. The purpose of a "junction" is to "connect" (join). To solve this analogy you need to figure out which of these describes the purpose of a "napkin." The correct answer is to "clean."

A "grill" is something that is used for "cooking." So, which of these is something that is used for "climbing?" The correct answer is a "ladder."

Since we "color" with "crayons," we are looking for an answer choice that includes a tool (e.g., crayon) and how it is used (e.g., coloring). The only answer choice that fits this criteria is "knife is to cutting" because we use knives to cut up food!

A “wrench” is a tool used by a “mechanic,” so to solve this analogy, you need to determine which of these answer choices is a tool often used by a farmer. The correct answer is a “plow”; a “farmer” uses a “plow” to break up soil and allow seeds to be planted. It might be reasonable to assume that a farmer uses a “hammer” as well, but it is not anywhere near as closely associated with the profession of farming as a “plow” is. Other professions, like carpenters, might use hammers, but only farmers are associated with plows. To provide further help, another name for the profession of farming is “agriculture.” 

Just as a pilot flies a plane, a captain steers a ship, so "captain" is the correct answer.

Since firefighters often use hoses while doing their job, we are looking for an answer in which the first word is an item that the occupation in the second word uses while working. The best answer choice is "easel is to artist," because artists often paint or sketch their creations on easels.

The analogy in question relates a profession to a tool associated with that profession. "Lawyer is to ball," "soldier is to comb," "dancer is to phone," and "chef is to drum" do not represent the given relationship. Artists often uses paintbrushes just as surgeons use scalpels, so "surgeon is to scalpel" is the correct answer.