instruction:
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.
question:
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
answer:
D


question:
In square PQRS, point T is the midpoint of side \(\overline { QR } \). If the area of PQRS is 3, what is the area of quadrilateral PQTS ?
(A)\(\frac { 3 } { 2 } \) (B)2 (C)\(\frac { 9 } { 4 } \) (D)\(\frac { 3 \sqrt { 3 } } { 2 } \) (E)\(2 \sqrt { 3 } \)
answer:
C


question:
If the lengths of two sides of a triangle are 9 and 15, which of the following CANNOT be the length of the third side?
(A)5 (B)9 (C)10 (D)15 (E)20
answer:

A