In this task, you need to provide the correct option for a given problem from the provided options.

[Q]: Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 160 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 356 , c ) 452 , d ) 416 , e ) 512
[A]: d


[Q]: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 28 ! 
Options: a ) 13 , b ) 10 , c ) 12 , d ) 14 , e ) 16
[A]: a


[Q]: Problem: a small island country of 5000 people has an emigration and immigration statistic per 500 persons of 50.4 and 15.4 respectively . how long will it take for the population to be half of its current number . 
Options: a ) 6.8 , b ) 8.5 , c ) 6.1 , d ) 9.1 , e ) 7.14
[A]:
e