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      Question

      A milkman has 80 liters of milk, and he removes 20

      liters and replaces it with water. If he repeats the process twice more, how much milk remains in the mixture?
      A 40 liters Correct Answer Incorrect Answer
      B 36 liters Correct Answer Incorrect Answer
      C 48 liters Correct Answer Incorrect Answer
      D 32 liters Correct Answer Incorrect Answer

      Solution

      After each replacement, the amount of milk reduces by a factor of (quantity left / total quantity). Milk remaining after the first replacement = 80 × (60/80) = 60 liters. Milk remaining after the second replacement = 60 × (60/80) = 45 liters. Milk remaining after the third replacement = 45 × (60/80) = 36 liters. Correct Option: b

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