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'.

[Q]: Problem: how many integers between 1 and 10 ^ 16 are such that the sum of their digits is 2 ? 
Options: a ) 106 , b ) 116 , c ) 126 , d ) 136 , e ) 146
[A]: d


[Q]: Problem: what is the least number which should be added to 5432 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? 
Options: a ) 16 , b ) 22 , c ) 28 , d ) 34 , e ) 40
[A]: c


[Q]: Problem: let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 24 , what is the maximum value of y for which f ( x , y ) = 0 ? 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 21
[A]:
d