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 Q]: For any point on line \(\ell\), the product of the x-coordinate and the y-coordinate is less than or equal to zero. Which of the following could be the equation of line \(\ell\) ?
(A)\(y = -2\) (B)\(x = -2\) (C)\(y = -2x\) (D)\(y = -2x - 2\) (E)\(y = 2x - 2\)
[EX A]: C

[EX Q]: A rectangular solid that has a width of 8, a length of 8, and a height of 12 is divided into 12 cubes, each of equal volume. What is the length of the edge of one of these cubes?
(A)4 (B)6 (C)8 (D)12 (E)64
[EX A]: A

[EX Q]: Points A, B and C are three vertices of a triangle. The location of point X is such that AX = BX. Which of the following could be true? I. X is on \(\overline { AB } \) II. X is inside \(\triangle { ABC } \) III. X is outside \(\triangle { ABC } \)
(A)I only (B)III only (C)I and II only (D)II and III only (E)I, II and III
[EX A]:
E

