The answers are sentence 1. "Despite their hard work, the miners were only able to find a small amount of crude minerals in the mine they were excavating", sentence 3. "The architect drew a crude sketch of his designs to give his clients a general idea of what he wanted to build" and sentence 4. "The audience booed the comedian off the stage because his crude jokes were very inappropriate".
Explanation:
The dictionary entry explains the word "crude" is an adjective which means it is used to describe nouns and besides this has four different meanings the first meaning is "unchanged from original state", the second meaning is "primitive or uncultured", the third is "blunt or offensive" and the fourth is "rough in execution", these definitions are important as a sentence uses a word correctly when they use the word in a sentence is directly link to the type of word that in this case is adjective and the definitions a word has.
Considering this the sentence 1 uses the word "crude" correctly as in this sentence the word crude is used to describe the mineral found by the miners, which fits with the first definition of the word or "unchanged from an original state". Also, sentence 3 uses correctly the word as the word is used to describe the sketch drawn by the architect that showed a general idea, which means the fourth definition "rough in execution" fits with this sentence. Finally, sentence 4 is also correct as the word is used to describe the jokes that were inappropriate which fits with the third definition of crude or "blunt or offensive".
Therefore, the sentences that use correctly the word "crude" are sentences 1, 3 and 4 because in this sentences the word matches with one of the fourth definitions and also is used as an adjective.