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

[Q]: Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150
[A]: a


[Q]: Problem: divide $ 2000 among b , c in the ratio 4 : 16 . how many $ that c get ? 
Options: a ) $ 1200 , b ) $ 1400 , c ) $ 1600 , d ) $ 1800 , e ) $ 2000
[A]: c


[Q]: Problem: nitin ranks 12 th in a class of 56 students . what is rank from the last ? 
Options: a ) 33 , b ) 38 , c ) 45 , d ) 28 , e ) 19
[A]:
c