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: if 7 ^ k = 2 , then 7 ^ ( 4 k + 2 ) = 
Options: a ) 729 , b ) 754 , c ) 784 , d ) 783 , e ) 108
c

Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4500 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 31500 , d ) 34000 , e ) none of these
c

Problem: if 4 / p = 8 & 6 / q = 18 then p - q = ? 
Options: a ) 5 / 24 , b ) 6 / 24 , c ) 7 / 24 , d ) 1 / 6 , e ) 9 / 24

d