In a vessel , there are 20 litres of alcohol . An operation is defined as…

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In a vessel , there are 20 litres of alcohol . An operation is defined as taking out five litres of what is present in the vessel and adding 10 litres of pure water to it . What is the ratio of alcohol to water after two operations ?

  1. A.

    3:2

  2. B.

    1:6

  3. C.

    2:3

  4. D.

    1:5

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Correct answer: C

Ans: 2:3

Final concentration = Initial concentration (1 - replacement quantity / final volume)

After 1st process: Concentration = 1(1-10/25) = 3/5

After 2nd process: Concentration = (3/5)(1 - 10/30) = 2/5

So ratio of alcohol : water = 2:3

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