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

[EX Q]: Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 2.5 per pound , and german chocolate cost $ 1.5 per pound . if the total the she spent on chocolate was $ 30 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? 
Options: a ) 7 , b ) 18 , c ) 10 , d ) 12 , e ) 11
[EX A]: b

[EX Q]: Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 12 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? 
Options: a ) 6 , b ) 16 , c ) 18 , d ) 30 , e ) 174
[EX A]: c

[EX Q]: Problem: in what ratio should a variety of rice costing rs . 7 per kg be mixed with another variety of rice costing rs . 14.50 per kg to obtain a mixture costing rs . 9.75 per kg ? 
Options: a ) 19 : 10 , b ) 19 : 11 , c ) 11 : 19 , d ) 12 : 18 , e ) 11 : 20
[EX A]:
b