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

[Q]: Problem: the diluted wine contains only 8 liters of wine and the rest is water . a new mixture whose concentration is 30 % , is to be formed by replacing wine . how many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ? 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 8
[A]: b


[Q]: Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 13 : 1 , b ) 13 : 3 , c ) 13 : 8 , d ) 13 : 5 , e ) 13 : 2
[A]: b


[Q]: Problem: the ratio of flour to water to sugar in a recipe is 10 : 6 : 3 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 2 cups of water , how much sugar is required ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
[A]:
b