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

[Q]: Problem: the ratio of two quantities is 4 : 3 . if each of the quantities is decreased by 8 , their ratio changes to 3 : 1 then the smallest number is ? 
Options: a ) 5.2 , b ) 6.9 , c ) 9.6 , d ) 7.8 , e ) 4.7
[A]: c


[Q]: Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21 , is 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
[A]: a


[Q]: Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 15 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 4 / 5 , e ) 2 / 15
[A]:
d