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: 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
[A]: c

[Q]: Problem: a father said his son , ' ' i was as old as you are at present at the time of your birth . ' ' if the father age is 32 now , the son age 5 years back was
Options: a ) 11 , b ) 17 , c ) 11 , d ) 19 , e ) 99
[A]: a

[Q]: Problem: the average marks of a class of 30 students is 40 and that of another class of 50 students is 70 . find the average marks of all the students ?
Options: a ) 52.5 , b ) 52.9 , c ) 52.1 , d ) 58.75 , e ) 42.5
[A]:
d