TASK DEFINITION: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
PROBLEM: Problem: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110 ?
Options: a. 10, b. 25, c. 55, d. 75, e. 100

SOLUTION: c

PROBLEM: Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80, what is the value of c − a ?
Options: a. 25, b. 60, c. 90, d. 140, e. it can not be determined from the information given.

SOLUTION: b

PROBLEM: Problem: the average age of applicants for a new job is 30, with a standard deviation of 8. the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. assuming that all applicants ' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants ?
Options: a. 8, b. 16, c. 17, d. 18, e. 34

SOLUTION:
c