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'.

Example Input: Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 100 , then the greatest possible value of a is between :
Options: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9
Example Output: c

Example Input: Problem: the unit digit in the product ( 784 x 618 x 917 x 463 ) is :
Options: a ) 5 , b ) 9 , c ) 16 , d ) 2 , e ) 42
Example Output: d

Example Input: Problem: the average height of 35 boys in a class was calculated as 183 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ?
Options: a ) 187.89 cm , b ) 181.29 cm , c ) 123.98 cm , d ) 149.98 cm , e ) 146.89 cm
Example Output:
b