You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.
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Question: Every year the population of Northville is \(\frac { 3 } { 4 } \) of what it was 10 years earlier. If there are currently 800 people living in Northville, how many people will live there in 20 years?
(A)10 (B)200 (C)400 (D)450 (E)600

Answer: D


Question: Cathy's average rate during the Boston Marathon was 10 minutes a mile for the first \(b\) hours where \(b < 4\). In terms of \(b\), how many more miles does Cathy have to run to complete the 26-mile race?
(A)\(26 - 6b\) (B)\(26 - 600b\) (C)\(6b - 26\) (D)\(26 - \frac { 6 } { b } \) (E)\(\frac { 26 - b } { 6 } \)

Answer: A


Question: The planet Caleb makes one complete rotation on its axis every 36 Earth hours. If it turns at a constant rate, through how many degrees does any point on Caleb, except the poles, rotate from 9 am January 14th to 9 pm January 17th?
(A)480 (B)720 (C)840 (D)900 (E)1,080

Answer:
C