You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. 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.

Example Input: Jim has identical drinking glasses each in the shape of a right circular cylinder with internal diameter of 3 inches. He pours milk from a gallon jug into each glass until it is full. If the height of milk in each glass is about 6 inches, what is the largest number of full milk glasses that he can pour from one gallon of milk? (Note: There are 231 cubic inches in 1 gallon.)
(A)2 (B)4 (C)5 (D)6
Example Output: C

Example Input: A square and an equilateral triangle each have sides of length 5. What is the ratio of the area of the square to the area of the triangle?
(A)\(\frac { 4 } { 3 } \) (B)\(\frac { 16 } { 9 } \) (C)\(\frac { \sqrt { 3 } } { 4 } \) (D)\(\frac { 4\sqrt { 3 } } { 3 } \) (E)\(\frac { 16\sqrt { 3 } } { 9 } \)
Example Output: D

Example Input: The length and width of a certain rectangle are both decreased by 50 percent. If the length and width of the new rectangle are then increased by 40 percent, the area of resulting rectangle is what percent less than the area of the original rectangle?
(A)10\% (B)45\% (C)49\% (D)51\% (E)90\%
Example Output:
D

