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: for what value of x between − 8 and 8 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ? 
Options: a ) − 8 , b ) − 2 , c ) 0 , d ) 2 , e ) 8

SOLUTION: a

PROBLEM: Problem: village x has a population of 72000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? 
Options: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13

SOLUTION: a

PROBLEM: Problem: the average age of 19 students in a group is 17 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ? 
Options: a ) 36 , b ) 37 , c ) 38 , d ) can not be determined , e ) none of these

SOLUTION:
b