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.

Input: Consider Input: Points L, M, and N lie in a plane. If the distance between L and M is 4, and the distance between M and N is 9, which of the following could be the distance between L and N? I. 5 II. 8 III. 13
(A)I only (B)II only (C)III only (D)I and III (E)I, II and III

Output: E


Input: Consider 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)\(\frac { 16\sqrt { 3 } } { 9 } \)

Output: D


Input: Consider Input: Three lines intersect within a circle. What is the greatest number of separate, non-overlapping regions that can be formed inside the circle by the intersection of the lines?
(A)Four (B)Five (C)Six (D)Seven (E)Eight or more


Output: D