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]: A certain flag has a length that is 2 times its width. What is the width of a flag that has an area of 100?
(A)5 (B)\(5\sqrt { 2 } \) (C)10 (D)\(10\sqrt { 2 } \) (E)20
[EX A]: B

[EX Q]: 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)\(4 < y < 2x\)
[EX A]: E

[EX Q]: Two cylindrical tanks have the same height, but the radius of one tank equals the diameter of the other. If the volume of the larger is \(k\%\) more than the volume of the smaller, \(k\) =
(A)50 (B)100 (C)200 (D)300 (E)400
[EX A]:
D

