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: 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
c

Problem: for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 60 ? 
Options: a ) 10 , b ) 15 , c ) 8 , d ) 12 , e ) 20
b

Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 45 only . men â € ™ s wages are ? 
Options: a ) 6 rs , b ) 7 rs , c ) 8 rs , d ) 4 rs , e ) 3 rs

e