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: 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
e

Problem: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 8 , while all other numbers remain the same , what is the new average of set s ? 
Options: a ) 6.6 , b ) 6.7 , c ) 6.8 , d ) 7.0 , e ) 6.9
d

Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 24 ! then k = 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 10

e