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      Question

      A container is completely filled with 60 litres of pure

      milk. First, 20 litres of milk is taken out and replaced with water. Then again, 20 litres of the resulting mixture is taken out and replaced with water. How much milk is left in the container now?
      A 18.58 litres Correct Answer Incorrect Answer
      B 26.67 litres Correct Answer Incorrect Answer
      C 33.33 litres Correct Answer Incorrect Answer
      D 47.05 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total volume = 60 L, amount replaced each time = 20 L Fraction of milk left after one operation: = (1 − 20/60) = (40/60) = 2/3 After 2 operations, fraction of milk left: = (2/3)² = 4/9 Milk left = 60 × (4/9) = 240 / 9 ≈ 26.67 litres

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