In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
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Question: A toy nutcracker is said to be represented by the section titled Gnomus. French women quarrelling in the marketplace is the basis of its section The Market at Limoges. Promenades connect the various sections of this work, whose most famous orchestration was arranged by Ravel. Based on the creations of Victor Hartmann, it contains such sections as Baba Yaga and its last, The Great Gate of Kiev. For 10 points, name this 1874 suite for piano, written by Modest Mussorgsky, which meant to portray one examining various works of art.

Answer: Fine Arts

Question: Paulo Ribenboim proved in 1991 that the set of these is Diophantine, and in 1912 Edmund Landau proposed four "unattackable problems" dealing with them, none of which have yet been solved. The theorem named for them states that the number of them less than or equal to n is approximately equal to n divided by the natural logarithm of n. The GIMPS project seeks to find examples of the Mersenne type of this number, ordinary examples of which can be found using the sieve of Eratosthenes. For 10 points, identify these numbers whose only two factors are 1 and itself.

Answer: Social Science

Question: Carstensz Pyramid is the highest point on this island and it was named for Dutch explorer ridiculed for claiming to have seen snow on this island. The Fly River system on this island was majorly affected by the Ok Tedi mine's tailings and the Sepik River originates in the Victor Emmanuel Range before flowing into the Bismarck Sea. The Owen Stanley Mountains block off access to the only national capital on this island and Jayapura is the largest city within another province on this island. Daru is located on the northern side of the Torres Strait which separates this island from the Cape York Peninsula to the south. For 10 points, identify this island nation where over 800 different languages are spoken.

Answer:
Social Science