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      Question

      A question is given, followed by two statements numbered

      (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Question: What was the respective ratio between the initial quantities of milk and water? Statements: (I) After taking out 35 litres of the mixture, the remaining quantity of milk in the mixture was six times that of water. (II) When one-fourth of the mixture is taken out, the respective ratio between the resultant quantities of milk and water was 6 : 1. 
      A Data in either statement I alone or statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
      B Data in statement I alone is sufficient to answer the question, while data in statement II is not sufficient. Correct Answer Incorrect Answer
      C Data in statement II alone is sufficient to answer the question, while data in statement I is not sufficient. Correct Answer Incorrect Answer
      D Data in statements I and II together is sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      • Statement I: after removing 35 L , ratio = 6:1

      • Statement II: after removing one-fourth of mixture , ratio = 6:1

      • Together, the actual quantity removed in statement II can be linked to the 35 L in statement I , allowing us to determine the total mixture and then the initial ratio of milk to water .

      Both statements together are sufficient.

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