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: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the integers between 1 and 50 ? 
Options: a ) 1275 , b ) 1542 , c ) 985 , d ) 1024 , e ) 1125
a

Problem: the sum of three consecutive even numbers multiples of 3 is 72 . what is the largest number ? 
Options: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) none
c

Problem: when positive integer x is divided by positive integer y , the result is 59.32 . what is the sum r of all possible 2 - digit remainders for x / y ? 
Options: a ) 560 , b ) 616 , c ) 672 , d ) 728 , e ) 784

b