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:
The lengths of two sides of a triangle are \((x - 2)\) and \((x + 2)\), where \(x > 2\). Which of the following ranges includes all and only the possible values of the third side y?
(A)\(0 < y < x\) (B)\(0 < y < 2x\) (C)\(2 < y < x\) (D)\(4 < y < x\) (E)\(4 < y < 2x\)
answer:
E


question:
In \(\triangle { XYZ } \), the length of \(\overline { XY } \) is 5 and the length of \(\overline { YZ } \) is 18. Which of the following could not be the length of \(\overline { ZX } \)?
(A)12.5 (B)13.5 (C)15 (D)16 (E)16.5
answer:
A


question:
What is the volume, in cubic inches, of a cube whose surface area is 60 square inches?
(A)\(10\sqrt { 10 } \) (B)\(15\sqrt { 15 } \) (C)\(60\sqrt { 60 } \) (D)1000 (E)3375
answer:

A