TASK DEFINITION: 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.
PROBLEM: One ruler of this dynasty avoided a prophecy of his death by abdicating in favor of the puppet Yusufi for four days during his persecution of Nuqtavis. This dynasty was defeated at Gulnabad by the Ghilzai leader Mahmud. Its founder was victorious at Merv over the Uzbeks and had earlier overthrown the White Sheep dynasty. This dynasty was eventually supplanted by Karim Khan and the Zand dynasty, and its final rulers were puppets of Nadir Shah. Tahmasp I was a ruler of this dynasty, which was defeated at Chaldiran by Selim the Grim. Under Abbas I, this dynasty established a capital at Isfahan, and it was founded with the help of the Qizilbash by Ismail I. For 10 points, name this Shi'ite dynasty that ruled Persia from 1501 to 1736.

SOLUTION: History

PROBLEM: These quantities are the arguments of the logarithms in the von Mangoldt function, which is itself summed to yield the second Chebyshev function. Using the evenly-spaced integer topology, Furstenberg re-proved that there were aleph-null many of these values. The work of Goldston et al. employing the Elliott-Halberstam conjecture was a precursor to Zhang's proof of bounded gaps between them. Thanks to the AKS algorithm, it is polytime-decidable whether or not a number is one of these numbers. The distribution of these numbers is described by the law "pi of x is asymptotic to x over log x," where "pi of x" is the function that counts these numbers. They are typically generated by sieving, as originally done by Eratosthenes. For 10 points, what numbers are divisible only by one and themselves

SOLUTION: Science

PROBLEM: One of the frescos contained in this building is Perugino's Delivery of the Keys, and another work shows the Red Sea with red water. The left wall of this building is lined with different frescoes depicting the life of Moses, while the right wall has pictures depicting the life of Christ. One of the paintings shows St. Bartholomew holding his flayed skin. The artist who painted that also painted The Last Judgment on the back wall after he completed the massive ceiling painting. For 10 points, name this building, where Michelangelo painted The Creation of Adam and where papal conclaves are held in Vatican City.

SOLUTION:
Fine Arts