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    What was the initial quantity of mixture of juice and water

    I.Juice and water were in the ratio 6:1 respectively in the mixture initially.

    II.When 7 litre of mixture is taken out and 5 litre of water is added, the ratio between juice and water becomes 8:3 respectively

  • If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
  • If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
  • If the data either in statement I alone or in statement II alone are sufficient to answer the question.
  • If the data given in both statements I and II together are not sufficient to answer the question.
  • If the data in both statements I and II together are necessary to answer the question.
  • Explanation:

    Let the initial quantity of the mixture = 7x litre

    I. Quantity of juice =6x

    Quantity of water = x

    II. According to statement,

    6x-7×6/7=8/3

    x-7×1/7+5

    18x-18=8x+32

    10x=50

    x=5 litre

    ∴Initial quantity of the mixture = 7x =7×5

    =35 litre

    Hence, the data in both the statement I and II together are necessary to answer the question.


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