Let us break the question stem into premises and conclusions.
Premise 1: Every painting hanging in the Hoular Gallery is by a French painter. (this means that there is no painting in the gallery which is not the work of a French artist)
Premise 2: No painting in the Hoular Gallery is by a Vorticist. (this means that there is no painting in the gallery which is the work of a Vorticist)
Premise 3: Only Vorticists use acrylic monochromes in their works. (this means that the use of acrylic monochromes is exclusive to Vorticists and no other type of artists use it)
Therefore, we can
conclude by a combination of all 3 premises that, the Hoular Gallery has only paintings by French artists, and there are no acrylic monochrome paintings.
Now let us examine the options:
Option 1 states: (A) No French painters are Vorticists. This is wrong. Just because the Hoular Gallery does not have paintings by Vorticists doesn't mean that there aren't French Vorticists. There may be but their paintings may not be in the gallery. Hence, option A is incorrect.
Option 2 states: (B) All Vorticists use acrylic monochromes in their works. This is incorrect because the premise doesn't state that all Vorticists use acrylic monochromes. There may be some Vorticists who do not use acrylic monochromes. But no other type of painters use it.
Option 3 states: (C) Some French painters do not use acrylic monochromes in their works.
This is correct because out of all the French painters, some use acrylic monochromes, but some do not. Also, the fact that there are French painters who's works are in the gallery show that not all Frent painters use acrylic monochromes.
Option 4 states: (D) No French painters use acrylic monochromes in their works.This is incorrect because there may be French painters who's paintings are not in the gallery who use acrylic monochromes in their works.
Option 5 States: (E) All French painters who use acrylics use acrylic monochromes in their works.This is incorrect and not based on the information given to us in the question stem. It is not necessary that "All" French painters who use acrylics use acrylic monochromes in their works. They may use other acrylics too.
Therefore, option C is the answer.