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'.

[EX Q]: Problem: the sum of the first 50 positive even integers is 2550 . what is the sum w of even integers from 102 to 200 inclusive ? 
Options: a ) 5100 , b ) 7550 , c ) 10100 , d ) 15500 , e ) 20100
[EX A]: b

[EX Q]: Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio s of men to women ? 
Options: a ) 5 : 2 , b ) 5 : 1 , c ) 4 : 3 , d ) 4 : 1 , e ) 3 : 1
[EX A]: a

[EX Q]: Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 6 ) , what is the value of w ? 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24
[EX A]:
c