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: a number whose fifth part increased by 7 is equal to its fourth part diminished by 7 is ?
Options: a ) 160 , b ) 180 , c ) 200 , d ) 280 , e ) none

SOLUTION: d

PROBLEM: Problem: if x : y = 3 : 5 , find the value of ( 2 x + 4 y ) : ( 3 x y )
Options: a ) 13 : 2 , b ) 11 : 2 , c ) 13 : 3 , d ) 13 : 4 , e ) 13 : 5

SOLUTION: a

PROBLEM: Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 30 grades are d ' s . what is the number of students in the course ?
Options: a ) 80 , b ) 110 , c ) 160 , d ) 600 , e ) 400

SOLUTION:
d