instruction:
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'.
question:
Problem: for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 100 ? 
Options: a ) 30 , b ) 28 , c ) 27 , d ) 25 , e ) 26
answer:
d


question:
Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 5 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? 
Options: a ) 2,858 , b ) 18,667 , c ) 28,000 , d ) 35,000 , e ) 40,000
answer:
c


question:
Problem: the ratio of ducks and frogs in a pond is 31 : 39 respectively . the average number of ducks and frogs in the pond is 152 . what is the number of frogs in the pond ? 
Options: a ) 148 , b ) 152 , c ) 156 , d ) 169 , e ) none
answer:

d