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Q. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
  • a)
    26 litres
  • b)
    29.16 litres
  • c)
    28 litres
  • d)
    28.2 litres
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Practice Quizzes or MCQ (Multiple Choice Questions) with solution are ...
40M

After replacing

36M : 4W => 9:1

In the next replacement

Out of 4 Litres mixture

3.6L milk, 0.4L Water

Now, Milk => 32.4, Water => 7.6

i.e 4.26 : 1 => The current ratio of the mixture

Next 4 Litres in the above ratio

4/5.26= 0.76

0.76x4.26 = 3.239 (3.24)

32.4–3.24= 29.16 Litres of Milk
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Practice Quizzes or MCQ (Multiple Choice Questions) with solution are ...
Question Analysis:
We are given that a container initially contains 40 liters of milk. From this container, 4 liters of milk is taken out and replaced by water. This process is repeated two more times. We need to determine the final amount of milk in the container.

Key Points:
- Initial amount of milk in the container: 40 liters
- Amount of milk taken out and replaced each time: 4 liters
- Number of times the process is repeated: 2

Solution:
To solve this problem, we can use the concept of mixtures. Each time 4 liters of milk is taken out and replaced by water, the percentage of milk in the container decreases. We can calculate the percentage of milk remaining in the container after each replacement and then find the final amount of milk.

Step 1:
Finding the percentage of milk after each replacement:
- After the first replacement, 4 liters of milk is taken out, so the remaining milk in the container is 40 - 4 = 36 liters.
- The percentage of milk remaining after the first replacement is (36/40) * 100 = 90%.

Step 2:
- After the second replacement, 4 liters of milk is taken out, so the remaining milk in the container is (90/100) * 36 = 32.4 liters.
- The percentage of milk remaining after the second replacement is (32.4/40) * 100 = 81%.

Step 3:
- After the third replacement, 4 liters of milk is taken out, so the remaining milk in the container is (81/100) * 32.4 = 26.244 liters.

Hence, the final amount of milk in the container is approximately 26.244 liters, which is closest to option B: 29.16 liters.

Conclusion:
After three replacements of 4 liters of milk each time, the container now contains approximately 26.244 liters of milk.
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Community Answer
Practice Quizzes or MCQ (Multiple Choice Questions) with solution are ...
b
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Practice Quizzes or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for Alligation or Mixture under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?a)26 litresb)29.16 litresc)28 litresd)28.2 litresCorrect answer is option 'B'. Can you explain this answer?
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