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: in a competitive examination in a state a , 10 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 12 % candidates got selected with 100 more candidates got selected than a . what was the number of candidates appeared from each state ? 
Options: a ) 4000 , b ) 5000 , c ) 5500 , d ) 6500 , e ) 4200
b

Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 3 ) , what is the value of w ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15
c

Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number age of the family now is ? 
Options: a ) 17 , b ) 98 , c ) 88 , d ) 85 , e ) 83

d