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A vessel contains 12 L wine and another contains 4 L water. 3 L is removed from each of the vessels and transferred into one another. The same operation is repeated once more. What is the final ratio of wine to water in two vessels?
a. 1:3, 3:1
b. 3:1,1:3
c. 3:1,3:1
d. 2:3,1:2
e. 1:3,1:2

Solution

Wine = Wi & Water = Wa

Vessel 1 : Vessel 2
12 L Wi : 4L Wa -- initial
9 Wi : 3 Wa : 3Wi : 1 Wa --- 1st Mixture ( Note: For both vessels ratio of Wi to Wa is 3: 1)

Hence, the ratio will remain the same with any subsequent mixes of vessel 1 and 2; [ Imagine mixing only water from one container to the other many times it will still remain water]

So, C is the correct answer

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