A musician produces songs. The answer, then, is what an artist produces. There are many options for what an artist may produce, but the only one listed is "sculpture." This is a better option than either "book" or "entertainment." "Author" or "writer" would have been used for "book." "Entertainment" is not very specific, but the first example, "musician" and "songs," is very specific.

Tailors mend and make adjustments to clothes, while cobblers mend shoes. The relationship is that of a producer to a product. 

A "butcher" is someone who sells "meat." So, to solve this analogy you need to figure out what it is that a "tailor" produces or sells. The correct answer is "clothes." A "tailor" is someone who makes sure clothes fit, especially things like suits.

"Lava" is the hot molten rock that comes out of a volcano when it erupts. So, "lava" comes from a "volcano." To solve this analogy you need to determine which of these is something that comes from a "cloud." The correct answer is "rain."

Since bakers bake bread, we are looking for an answer choice that includes an occupation (e.g., baker) and a product that they help to make (e.g., bread). The only answer choice that fits this criterion is "Architect is to house" because architects help to build houses.

An "ear" is the part of the body used to hear, so to complete the analogy, you need to pick out an answer choice that describes what a hand is used to do. A hand is something you use for “touching" things, so "touching" is the correct answer.

"Wear" is a verb that describes how you use clothes, so to solve this analogy you have to determine which of these answer choices is a verb that describes how you use food. The correct answer is “eat.” To help you, "demolish" means tear down or destroy.

One uses a pen to draw, so we need to pick out an answer choice in which the first word is an object and the second word a verb which one uses that object to do. While “keyboard is to type,” “click is to mouse,” and “wood is to saw” might each look like a potentially correct answer, one does not use a click to mouse or wood to saw, so neither “click is to mouse” nor “wood is to saw” can be the correct answer. One can use a keyboard to type, however, just as one can use a pen to draw, so “keyboard is to type.”

One uses a stove to cook things, so we need to pick out an answer choice in which the second word is an object or tool that is used to do the first verb to things. While “washer is to wash” might look like a potentially correct answer, its two words are in an incorrect order compared to our example (“wash” is not used to “washer” things), so it cannot be the correct answer. Refrigerators are used to chill things, though, just like stoves are used to cook things, so “chill is to refrigerator” is the correct answer.

Since you read a book, we need to pick out a verb that describes what you do to a song. Since one sings a song just as one reads a book, "sing" is the correct answer.