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.

Q: If the members of set A are all the odd single-digit positive integers and the members of set B are all the prime integers, which of the following is the set of numbers common to both set A and set B ?
(A)\(\lbrace 1, 3, 5, 7\rbrace\) (B)\(\lbrace 1, 3, 5, 7, 9\rbrace\) (C)\(\lbrace 2, 3, 5, 7\rbrace\) (D)\(\lbrace 3, 5, 7\rbrace\) (E)\(\lbrace 3, 5, 7, 9\rbrace\)

A: D
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Q: If the ratio of \(a\) to \(b\) is 2 to 5, and the ratio of \(b\) to \(c\) is 1 to 4, what is the ratio of \(a\) to \(c\) ?
(A)1 : 2 (B)1 : 10 (C)5 : 8 (D)5 : 4 (E)5 : 2

A: B
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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

A:
E
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