TASK DEFINITION: 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.
PROBLEM: A fire fighter with a 52-foot ladder approaches a burning building, which rests on level ground. If the top of the ladder must be at least 48 feet above ground level, what is the maximum possible distance, in feet, from the exact middle of the ladder to the wall of the building?
(A)0 (B)5 (C)10 (D)15 (E)20

SOLUTION: C

PROBLEM: What is the greatest number of pieces that can result from slicing a spherical orange with three straight cuts?
(A)5 (B)6 (C)7 (D)8 (E)9

SOLUTION: D

PROBLEM: A line passes through the points (0, a) and (b, O). Which of the following is the slope of the line?
(A)\(-\frac { a } { b } \) (B)\(-\frac { b } { a } \) (C)\(\frac { a } { b } \) (D)\(\frac { b } { a } \) (E)\(\frac { a } { ab } \)

SOLUTION:
A