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: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 147 , what is the difference between the ages of patrick and monica ? 
Options: a ) 48 , b ) 47 , c ) 46 , d ) 49 , e ) 52
a

Problem: ( x + 3 ) is a factor in x ^ 2 - mx - 15 . what is the value of m ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
b

Problem: the sum of 4 th and 20 th term of a . p . is equal to the sum of 8 th , 15 th and 12 th term . find the term which is 0 
Options: a ) 10 , b ) 7 , c ) 11 , d ) 5 , e ) 3

c