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A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?
- a)45.56 liters
- b)53.55 liters
- c)58.32 liters
- d)62.34 liters
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A container contains 80 liters of milk. From this container, 8 liters ...
Amount of milk left in the container after n operations = 
where x is the initial quantity of milk, y is the amount taken out from the milk and n is the number of operations
Here x = 80, y = 8 and n = 3
From the formula we get,
58.32 liters
where x is the initial quantity of milk, y is the amount taken out from the milk and n is the number of operationsHere x = 80, y = 8 and n = 3
From the formula we get,
58.32 liters
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Community Answer
A container contains 80 liters of milk. From this container, 8 liters ...
To solve this problem, we need to understand the concept of mixing solutions and the idea of concentration.
Let's assume the container initially contains 80 liters of milk. Each time 8 liters of milk are taken out and replaced with water, the concentration of milk in the container decreases. After the first replacement, the container contains 80 - 8 = 72 liters of milk.
Now, when 8 liters of this solution are removed and replaced with water again, the concentration of milk decreases further. To calculate the concentration after the second replacement, we need to consider the concentration of the milk that was already in the container and the concentration of the milk that was added during the second replacement.
The concentration of milk in the container after the first replacement is 72/80 = 0.9 (or 90%).
During the second replacement, 8 liters of the solution are removed, and since the concentration is 90%, 0.9 * 8 = 7.2 liters of milk are removed. The remaining 0.8 * 8 = 6.4 liters of the solution is milk.
Adding this 6.4 liters of milk to the container, the total amount of milk in the container becomes 72 + 6.4 = 78.4 liters.
Finally, after the third replacement, using the same logic, we find that the concentration of milk in the container is 0.8 (or 80%), and the amount of milk in the container is 78.4 + 0.8 * 8 = 78.4 + 6.4 = 84.8 liters.
Therefore, the container now contains 84.8 liters of milk.
Since none of the given options matches the calculated result, it seems there may be an error in the question or the answer choices. However, based on the calculations, the correct answer should be around 84.8 liters, so none of the given options are correct.
Let's assume the container initially contains 80 liters of milk. Each time 8 liters of milk are taken out and replaced with water, the concentration of milk in the container decreases. After the first replacement, the container contains 80 - 8 = 72 liters of milk.
Now, when 8 liters of this solution are removed and replaced with water again, the concentration of milk decreases further. To calculate the concentration after the second replacement, we need to consider the concentration of the milk that was already in the container and the concentration of the milk that was added during the second replacement.
The concentration of milk in the container after the first replacement is 72/80 = 0.9 (or 90%).
During the second replacement, 8 liters of the solution are removed, and since the concentration is 90%, 0.9 * 8 = 7.2 liters of milk are removed. The remaining 0.8 * 8 = 6.4 liters of the solution is milk.
Adding this 6.4 liters of milk to the container, the total amount of milk in the container becomes 72 + 6.4 = 78.4 liters.
Finally, after the third replacement, using the same logic, we find that the concentration of milk in the container is 0.8 (or 80%), and the amount of milk in the container is 78.4 + 0.8 * 8 = 78.4 + 6.4 = 84.8 liters.
Therefore, the container now contains 84.8 liters of milk.
Since none of the given options matches the calculated result, it seems there may be an error in the question or the answer choices. However, based on the calculations, the correct answer should be around 84.8 liters, so none of the given options are correct.
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A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer?
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A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer?.
A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer?.
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A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A container contains 80 liters of milk. From this container, 8 liters of milk were taken out and replaced by water. This process was repeated further two more times. How much milk is now contained by the container?a)45.56 litersb)53.55 litersc)58.32 litersd)62.34 litersCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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