In this task, you need to provide the correct option for a given problem from the provided options.
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Question: Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 33 : 1 , b ) 33 : 7 , c ) 33 : 8 , d ) 33 : 5 , e ) 33 : 2

Answer: b


Question: Problem: how many of the positive factors of 36 , 84 and how many common factors are there in numbers ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 6

Answer: e


Question: Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 24 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 8

Answer:
c