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    Question

    A vessel contains 64 litres of pure milk. 16 litres of

    milk is taken out and replaced by water. Again, 16 litres of the mixture is taken out and replaced by water. What is the ratio of milk to water in the final mixture?
    A 2:5 Correct Answer Incorrect Answer
    B 9:7 Correct Answer Incorrect Answer
    C 8:9 Correct Answer Incorrect Answer
    D 2:7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Equivalent milk left after 2 operations: Milk = 64 × (1 − 16/64)² = 64 × (3/4)² = 64 × 9/16 = 36 L Total = 64 L → Water = 64 − 36 = 28 L Ratio milk : water = 36 : 28 = 9 : 7.

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