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 points ( x , y ) lie on the line segment between ( 32 , 12 2 / 3 ) and ( 7 , 17 2 / 3 ) such that x and y are both integers ? 
Options: a ) one , b ) 4 , c ) 5 , d ) 8 , e ) 9
[A]: c


[Q]: Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ? 
Options: a ) 160 , b ) 200 , c ) 240 , d ) 300 , e ) 480
[A]: b


[Q]: Problem: the average age of applicants for a new job is 30 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? 
Options: a ) 8 , b ) 16 , c ) 17 , d ) 18 , e ) 34
[A]:
c