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      Question

      Both mixtures 'A' and 'B' contain milk and water.

      Mixture 'A' contains __% water and rest milk and mixture 'B' contains same amount of water as mixture 'A'. Both the mixtures are completely emptied in a 600 litres container along with 50 litres water to make sure that the container is filled to the brim. Since the ratio of milk to water in the container is 7:5, quantity of milk in mixture 'B' is ___ litres.The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true:I. 25, 50II. 40, 200III. 50, 250
      A Only I Correct Answer Incorrect Answer
      B Only II and III Correct Answer Incorrect Answer
      C Only I and II Correct Answer Incorrect Answer
      D All I, II and III Correct Answer Incorrect Answer
      E Only I and III Correct Answer Incorrect Answer

      Solution

      Quantity of water in the container = 600 X (5/12) = 250 litres
      So, quantity of water in the two mixtures together = 250 - 50 = 200 litres
      So, quantity of water in each mixture = 200 ÷ 2 = 100 litres
      For I:
      Let the total quantity of mixture 'A' be 'x' litres.
      ATQ;
      0.25x = 100
      So, x = 400
      So, quantity of mixture 'B' = 600 - 50 - 400 = 150 litres
      So, quantity of milk in mixture 'B' = 150 - 100 = 50 litres
      So, statement I is true.
      For II:
      Let the total quantity of mixture 'A' be 'x' litres.
      ATQ;
      0.4x = 100
      So, x = 250
      So, quantity of mixture 'B' = 600 - 50 - 250 = 300 litres
      So, quantity of milk in mixture 'B' = 300 - 100 = 200 litres
      So, statement II is true.
      For III:
      Let the total quantity of mixture 'A' be 'x' litres.
      ATQ;
      0.5x = 100
      So, x = 200
      So, quantity of mixture 'B' = 600 - 50 - 200 = 350 litres
      So, quantity of milk in mixture 'B' = 350 - 100 = 250 litres
      So, statement III is true.

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