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 " a - number " of a number x is defined as the ones digit of 2 ^ x . antony rolls a die with 6 sides labeled with the integers from 1 to 6 , each of which has an equal probability of landing face - up . he then takes 3 ^ a , where a is the a - number of the result of his die roll , and plots 3 ^ a on a number line as the point a . finally , he repeats this entire process , this time plotting the result as the point b . what is the probability that the distance between a and b is greater than the value of b ?
Options: a ) 3 / 8 , b ) 13 / 36 , c ) 17 / 36 , d ) 19 / 36 , e ) 23 / 36
b

Problem: n is a whole number which when divided by 4 gives 3 as remainder . what will be the remainder when 2 n is divided by 4 ?
Options: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 5
b

Problem: 12 . what is the dividend . divisor 17 , the quotient is 9 and the remainder is 6 .
Options: a ) 150 , b ) 152 , c ) 154 , d ) 159 , e ) 144
d