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: A radio station emits a signal that can be received for 60 miles in all directions. If the intensity of the signal is strengthened so the reception increases by 40 miles in all directions, by approximately how many square miles is its region of reception increased?
(A)6,300 (B)10,000 (C)10,300 (D)20,000 (E)31,400

Answer: D


Question: The probability of choosing a black marble from a jar containing only black and red marbles is \(\frac { 1 } { 4 } \). Which of the following could be the number of red marbles?
(A)20 (B)22 (C)24 (D)32 (E)35

Answer: C


Question: Ninety people work in a certain office. If the ratio of men to women is 7:8, how many more women than men work in the office?
(A)1 (B)2 (C)4 (D)6 (E)15

Answer:
D


