You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and 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. Give only one answer for each question.

[EX Q]: \begin { gather* } 8, 10, x, 12, 8, 10, 8, 10, 10 \end { gather* } If the set of numbers above has both a median and a single mode of 10, then each of the number below could be the value of x EXCEPT
(A)4 (B)5 (C)6 (D)7 (E)8
[EX A]: E

[EX Q]: If \(8 \times 27 \times 64 = r^3\), what is the value of r?
(A)6 (B)12 (C)18 (D)24 (E)32
[EX A]: D

[EX Q]: The initial number of elements in a certain set is p, where \(p > 0\). If the number of elements in the set doubles every hour, which of the following represents the total number of elements in the set after exactly 24 hours?
(A)24p (B)48p (C)\(2p^{24}\) (D)\((2p)^{24}\) (E)\((2^{24})p\)
[EX A]:
E