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.
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Question: \begin { gather* } 5, 5k, 5k^2 , 5k^3 , ...\end { gather* } The first term in the sequence above is 5, and each term after the first is \(k\) times the preceding term. If the sum of the first three terms is 15, which of the following could be the value of \(k\) ?
(A)-2 (B)-1 (C)0 (D)2 (E)3

Answer: A


Question: If 5 more than 3 times a certain number is 3 less than the number, what is the number?
(A)\(-7\) (B)\(-4\) (C)\(-\frac{1}{2}\) (D)4 (E)7

Answer: B


Question: When 28 is divided by 8, the remainder is the same as that obtained when 53 is divided by which of the following numbers?
(A)3 (B)4 (C)5 (D)6 (E)7

Answer:
E