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 sum of 4 numbers is between 53 and 57, then the average (arithmetic mean) of the 4 numbers could be which of the following?
(A)\(11 \frac{1}{2}\) (B)12 (C)\(12 \frac{1}{2}\) (D)13 (E)14

A: E
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Q: The terms in a sequence are given by \(a_n = a + (n -1)d\), where \(n\) is the number of terms, \(a\) is the first term, and each term after the first is found by adding 8 to the term immediately preceding it. If the first term is 10, which term in the sequence is equal to 210?
(A)The 15th (B)The 18th (C)The 25th (D)The 26th (E)The 27th

A: D
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Q: If \(abc = 1\), which of the following could be the number of integers among \(a\), \(b\) and \(c\) ? I. 1 II. 2 III. 3
(A)None (B)I only (C)I and II only (D)I and III only (E)I, II and III

A:
E
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