TASK DEFINITION: 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.
PROBLEM: If \(r\) is a positive even integer and \(s\) is a prime integer, then all of the following are factors of \(rs\) EXCEPT
(A)\(r\) (B)\(s\) (C)\(2s\) (D)\(2r\) (E)2

SOLUTION: D

PROBLEM: 1. Choose a number between 0.5 and 0.99. 2. Multiply the number from the previous step by 20. 3. Determine the largest integer less than or equal to the number obtained from the previous step. 4. Subtract 4 from the number obtained from the previous step. 5. Write down the resulting number. If 0.62 is the number chosen in step 1, what is the number written in step 5?
(A)6.2 (B)8 (C)9 (D)16 (E)62

SOLUTION: B

PROBLEM: If \(a < b < 0 < c\), which of the following must be true? I. \(-b > -a\) II. \(a + c < b + c\) III. \(a + b < c\)
(A)I only (B)II only (C)III only (D)II and III only (E)I, II, and III

SOLUTION:
D