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

[EX Q]: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 22 ! 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16
[EX A]: c

[EX Q]: Problem: a certain business school has 500 students , and the law school at the same university has 800 students . among these students , there are 30 sibling pairs consisting of 1 business student and 1 law student . if 1 student is selected at random from both schools , what is the probability that a sibling pair is selected ? 
Options: a ) 3 / 40000 , b ) 3 / 20000 , c ) 3 / 4000 , d ) 9 / 400 , e ) 6 / 130
[EX A]: a

[EX Q]: Problem: share rs . 4800 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? 
Options: a ) 900 , b ) 980 , c ) 1600 , d ) 1240 , e ) 1400
[EX A]:
c