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.

Ex Input:
If \(A, B, C\), and \(D\) lie on the same straight line, and if \(AC = 2CD = 3BD\), what is the value of the ratio \(\frac { BC } { CD } \)?
(A)\(\frac { 1 } { 6 } \) (B)\(\frac { 1 } { 3 } \) (C)\(\frac { 1 } { 2 } \) (D)\(\frac { 5 } { 3 } \) (E)It cannot be determined from the information given

Ex Output:
E


Ex Input:
A square, stained-glass window pane is composed of 36 individual squares of colored glass. Some individual squares are red and others are blue. Which of the following is NOT a possible ratio of red to blue squares in the window?
(A)1 : 35 (B)1 : 7 (C)2 : 7 (D)5 : 7 (E)4 : 5

Ex Output:
B


Ex Input:
If point \(M(a,b)\) is the midpoint of the line segment connecting point \(A(5,10)\) and point \(B(15,4)\), what is the value of \(a + b\)?
(A)5 (B)6 (C)7 (D)8 (E)9

Ex Output:

A