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

[Q]: Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? 
Options: a ) 1 : 4 , b ) 1 : 5 , c ) 3 : 2 , d ) 1 : 2 , e ) 2 : 5
[A]: c


[Q]: Problem: in a ratio which is equal to 7 : 9 , if the antecedent is 42 , then the consequent is ? 
Options: a ) 72 , b ) 54 , c ) 64 , d ) 51 , e ) 45
[A]: b


[Q]: Problem: in township k , 1 / 5 of the housing units are equipped with cable television . if 1 / 10 of the housing units , including 1 / 3 of those that are equipped with cable television , are equipped with videocassette recorders , what fraction of the housing units have neither cable television nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15
[A]:
a