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.

Input: Consider Input: Thirty years ago, Mr. and Mrs. Lopez purchased a house. On average, the value of the house has doubled every 6 years. If the house is worth \$320,000 today, what did they pay for it 30 years ago?
(A)\$5,000 (B)\$10,000 (C)\$64,000 (D)\$160,000 (E)\(\$320,000 \times 2^5\)

Output: B


Input: Consider Input: The spare change on a dresser is composed of pennies, nickels, and dimes. If the ratio of pennies to nickels is 2:3 and the ratio of pennies to dimes is 3:4, what is the ratio of nickels to dimes?
(A)9:8 (B)5:7 (C)4:5 (D)3:4 (E)2:3

Output: A


Input: Consider Input: A long-distance runner takes between 5 and 7 minutes to run one mile during the first half of a cross-country race. During the second half, she starts to get tired and adds 1 to 2 minutes to the time it takes her to run a mile. What are the minimum and maximum munber of minutes it would take the runner to run one mile during the second half of the race?
(A)5 and 7 minutes (B)6 and 8 minutes (C)6 and 9 minutes (D)7 and 8 minutes (E)7 and 9 minutes


Output: C