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'.
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Question: Problem: a certain country is divided into 8 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country , what fraction of the country is traditionalist ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 5

Answer: e


Question: Problem: what is the remainder when 1003 * 1005 * 1007 is divided by 15 
Options: a ) 3 , b ) 17 , c ) 14 , d ) 0 , e ) 7

Answer: d


Question: Problem: if 4 a = 5 b and ab ≠ 0 , what is the ratio of a / 5 to b / 4 ? 
Options: a ) 125 / 64 , b ) 25 / 16 , c ) 1 , d ) 4 / 5 , e ) 64 / 125

Answer:
c