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.

Input: Consider Input: If the set of four integers \(n\), \(2n\), \(n + 2n\), and \(n + 4n\) consists only of prime numbers, then the set is called a "prime convergence". How many such sets exist?
(A)None (B)One (C)Three (D)Four (E)More than four

Output: A


Input: Consider Input: Set C consists of all of the positive integer multiples of 5 that are less than 20. Set D consists of all of the factors of 20. Which of the following is the union of Set C and Set D ?
(A)\(\lbrace 1, 2, 4, 5, 10, 15, 20\rbrace\) (B)\(\lbrace 2, 4, 5, 10, 15\rbrace\) (C)\(\lbrace 5, 10\rbrace\) (D)\(\lbrace 5, 10, 15, 20\rbrace\) (E)\(\lbrace 2, 4, 5, 10\rbrace\)

Output: A


Input: Consider Input: Which of the following is NOT a factor of \(9^2 - 9 \)?
(A)6 (B)8 (C)12 (D)18 (E)32


Output: E