TASK DEFINITION: In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: when positive integer m is divided by positive integer n , the remainder is 12 . if m / n = 24.2 , what is the value of n ? 
Options: a ) 120 , b ) 60 , c ) 30 , d ) 24 , e ) 12

SOLUTION: b

PROBLEM: Problem: if two of the 4 expressions x + y , x + 5 y , x - y , and 5 x - y are chosen at random , what is the probability w that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) w = 1 / 6

SOLUTION: e

PROBLEM: Problem: firm a ' s revenues are described by the equation ra = 17.12 x and its costs by ca = 12.87 x + 2400 . firm b ' s revenues are described by the equation rb = 13.27 x and its costs by cb = 8.77 x + 1500 . ( x denotes the quantity of sales ) . if a ' s volume of sales increases from 1000 to 3000 over the same period that b ' s volume increases from 2000 to 3000 , the percent increase in profits for the firm with the biggest dollar increase in profits is 
Options: a ) 20 % , b ) 30 % , c ) 60 % , d ) 50 % , e ) 33 %

SOLUTION:
b