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'.

[EX Q]: Problem: the average of 6 quantities is 8 . the average of 4 of them is 5 . what is the avg . of the remaining 2 numbers ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
[EX A]: d

[EX Q]: Problem: if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 5 ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5
[EX A]: e

[EX Q]: Problem: if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # 2 = 
Options: a ) 4 / 3 , b ) 1 / 3 , c ) 1 / 12 , d ) 1 / 8 , e ) - 4 / 3
[EX A]:
d