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: The force needed to stretch a spring varies directly with the distance the spring is stretched from its equilibrium position. If 50 pounds of force stretch a spring 8 inches from equilibrium, how much, in inches, will the spring be stretched by a force of 75 pounds?
(A)10 (B)12 (C)33 (D)248 (E)468.75

Output: B


Input: Consider Input: Lisa sometimes works on Saturday. Michael always cooks dinner on Tuesday. If both statements above are true, which of the following statements CANNOT be true?
(A)Lisa cooks dinner on Tuesday. (B)Michael works on Saturday. (C)Neither Lisa nor Michael cooks dinner on Tuesday. (D)Neither Lisa nor Michael worked last Saturday. (E)Both Lisa and Michael cook dinner on Tuesday.

Output: C


Input: Consider Input: By noon, \(\frac{1}{4}\) of Company X's employees had arrived to work. An hour later, 30 more employees had arrived, raising total attendance to \(\frac{1}{2}\) of the total staff. How many employees work for Company X?
(A)30 (B)45 (C)60 (D)120 (E)135


Output: D