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A 20 litres mixture contains milk and water in the respective ratio of 3: 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?
- a)17 : 3
- b)9: 1
- c)4: 17
- d)5 : 3
- e)3: 14
Correct answer is option 'B'. Can you explain this answer?
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Given:
- A 20 litres mixture contains milk and water in the respective ratio of 3: 2.
To find:
- The ratio of milk and water in the resultant mixture respectively after two removals and replacements.
Solution:
Let's assume that there are 3x and 2x liters of milk and water in the initial mixture respectively. Then,
- Total mixture = 20 liters
- Milk = 3x liters
- Water = 2x liters
First Removal and Replacement:
- 10 liters of the mixture is removed. So, the remaining mixture = 20 - 10 = 10 liters.
- Let x liters of milk be added. Then, the mixture will contain (3x + x) = 4x liters of milk and 2x liters of water.
- So, the new ratio of milk and water = 4x : 2x = 2 : 1
Second Removal and Replacement:
- Again, 10 liters of the mixture is removed. So, the remaining mixture = 10 liters.
- Let x liters of milk be added. Then, the mixture will contain (2/3 * 10) = 6.67 liters of milk and (1/3 * 10) = 3.33 liters of water.
- Let's convert these values to the ratio of milk and water:
- Milk : Water = 6.67 : 3.33 = 20 : 10
- Dividing both by 10, we get Milk : Water = 2 : 1
Final Ratio:
- So, the final ratio of milk and water in the resultant mixture respectively is 2 : 1, which is option (B).
Therefore, option (B) is the correct answer.
- A 20 litres mixture contains milk and water in the respective ratio of 3: 2.
To find:
- The ratio of milk and water in the resultant mixture respectively after two removals and replacements.
Solution:
Let's assume that there are 3x and 2x liters of milk and water in the initial mixture respectively. Then,
- Total mixture = 20 liters
- Milk = 3x liters
- Water = 2x liters
First Removal and Replacement:
- 10 liters of the mixture is removed. So, the remaining mixture = 20 - 10 = 10 liters.
- Let x liters of milk be added. Then, the mixture will contain (3x + x) = 4x liters of milk and 2x liters of water.
- So, the new ratio of milk and water = 4x : 2x = 2 : 1
Second Removal and Replacement:
- Again, 10 liters of the mixture is removed. So, the remaining mixture = 10 liters.
- Let x liters of milk be added. Then, the mixture will contain (2/3 * 10) = 6.67 liters of milk and (1/3 * 10) = 3.33 liters of water.
- Let's convert these values to the ratio of milk and water:
- Milk : Water = 6.67 : 3.33 = 20 : 10
- Dividing both by 10, we get Milk : Water = 2 : 1
Final Ratio:
- So, the final ratio of milk and water in the resultant mixture respectively is 2 : 1, which is option (B).
Therefore, option (B) is the correct answer.
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A 20 litres mixture contains milk and water in the respective ratio of 3: 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?a)17 : 3b)9: 1c)4: 17d)5 : 3e)3: 14Correct answer is option 'B'. Can you explain this answer?
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A 20 litres mixture contains milk and water in the respective ratio of 3: 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?a)17 : 3b)9: 1c)4: 17d)5 : 3e)3: 14Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A 20 litres mixture contains milk and water in the respective ratio of 3: 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?a)17 : 3b)9: 1c)4: 17d)5 : 3e)3: 14Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20 litres mixture contains milk and water in the respective ratio of 3: 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?a)17 : 3b)9: 1c)4: 17d)5 : 3e)3: 14Correct answer is option 'B'. Can you explain this answer?.
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