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: how many positive integer solutions does the equation 8 x + 2 y = 100 have ?
Options: a. 50, b. 84, c. 16, d. 35, e. 14

SOLUTION: b

PROBLEM: Problem: arjun started a business with rs. 20,000 and is joined afterwards by anoop with rs. 30, 000. after how many months did anoop join if the profits at the end of the year are divided equally ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7

SOLUTION: b

PROBLEM: Problem: the ratio of males to females in a class is 2: 3. the career preferences of the students in the class are represented in a circle graph. if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one - half of the males and three - fourths of the females in the class ?
Options: a. 218, b. 226, c. 234, d. 242, e. 250

SOLUTION:
c