instruction:
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'.
question:
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
answer:
a


question:
Problem: a group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over . what is the sum of the two smallest possible values of n ? 
Options: a ) 33 , b ) 46 , c ) 49 , d ) 53 , e ) 86
answer:
e


question:
Problem: a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over . what is the sum of the two smallest possible values of n ? 
Options: a ) 30 , b ) 34 , c ) 38 , d ) 42 , e ) 46
answer:

c