In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[Q]: Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 15 times as heavy as water ? 
Options: a ) 3 : 2 , b ) 3 : 8 , c ) 5 : 7 , d ) 3 : 7 , e ) 3 : 6
[A]: a


[Q]: Problem: the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 33 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ? 
Options: a ) 17 litres , b ) 22 litres , c ) 11 litres , d ) 07 litres , e ) 38 litres
[A]: b


[Q]: Problem: if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 3 is divided by 41 ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 16 , e ) 18
[A]:
e