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: ages of two sisters differ by 9 years . if 5 years ago , the elder one was twice as old the younger one , find their present age
Options: a ) 1228 , b ) 1423 , c ) 1632 , d ) 1834 , e ) 1932
b

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 5000 as profit , what is their total profit ?
Options: a ) 28000 , b ) 30000 , c ) 32000 , d ) 35000 , e ) none of these
d

Problem: if f ( x ) = ax ^ 2 6 x + ax + 1 , then f ( b ) f ( - b ) will equal :
Options: a ) 0 , b ) - 12 b + 2 ab , c ) 2 ab ^ 4 8 b ^ 2 6 , d ) - 2 ab ^ 4 + 8 b ^ 2 + 6 , e ) 2 ab ^ 4 8 b ^ 2 + 2 ab 6
b