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DIRECTIONS for questions: Select the correct alternative from the given choices.
A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?
- a)65.92 litres
- b)64.71 litres
- c)64.85 litres
- d)59.62 litres
Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONS for questions: Select the correct alternative from the giv...
The quantity of milk in the first container = 50 litres
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Quantity of water in the first container = 60 litre.
Let the quantity of mixture added from the second container be 10x. 50 + 7x : 60 + 3x = 6:5
=>x= 6.471
Hence, 10x= 64.71 litres of mixture must be added.
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DIRECTIONS for questions: Select the correct alternative from the giv...
Problem Analysis:
Let's calculate the quantities of milk and water in each container:
Container 1:
- Milk: 5/11 * 110 = 50 liters
- Water: 6/11 * 110 = 60 liters
Container 2:
- Milk: 7/10 * x liters
- Water: 3/10 * x liters
We need to find the quantity of mixture from container 2 that needs to be added to container 1, such that the milk and water ratio in container 1 becomes 6:5.
Solution:
Let's assume that we take 'y' liters of the mixture from container 2 and add it to container 1.
After adding 'y' liters from container 2 to container 1, the quantities of milk and water in container 1 will be:
- Milk in container 1: 50 + 7/10 * y
- Water in container 1: 60 + 3/10 * y
According to the given condition, the ratio of milk to water in container 1 after adding the mixture from container 2 should be 6:5. Therefore, we can write the following equation:
(50 + 7/10 * y) / (60 + 3/10 * y) = 6/5
Cross-multiplying the equation, we get:
5(50 + 7/10 * y) = 6(60 + 3/10 * y)
250 + 7/2 * y = 360 + 9/10 * y
Multiplying the equation by 10 to eliminate the fractional terms, we get:
2500 + 35y = 3600 + 9y
35y - 9y = 3600 - 2500
26y = 1100
y = 1100 / 26
y ≈ 42.31 liters
Therefore, approximately 42.31 liters of the mixture from container 2 should be added to container 1.
Hence, the correct answer is option B) 64.71 liters.
Let's calculate the quantities of milk and water in each container:
Container 1:
- Milk: 5/11 * 110 = 50 liters
- Water: 6/11 * 110 = 60 liters
Container 2:
- Milk: 7/10 * x liters
- Water: 3/10 * x liters
We need to find the quantity of mixture from container 2 that needs to be added to container 1, such that the milk and water ratio in container 1 becomes 6:5.
Solution:
Let's assume that we take 'y' liters of the mixture from container 2 and add it to container 1.
After adding 'y' liters from container 2 to container 1, the quantities of milk and water in container 1 will be:
- Milk in container 1: 50 + 7/10 * y
- Water in container 1: 60 + 3/10 * y
According to the given condition, the ratio of milk to water in container 1 after adding the mixture from container 2 should be 6:5. Therefore, we can write the following equation:
(50 + 7/10 * y) / (60 + 3/10 * y) = 6/5
Cross-multiplying the equation, we get:
5(50 + 7/10 * y) = 6(60 + 3/10 * y)
250 + 7/2 * y = 360 + 9/10 * y
Multiplying the equation by 10 to eliminate the fractional terms, we get:
2500 + 35y = 3600 + 9y
35y - 9y = 3600 - 2500
26y = 1100
y = 1100 / 26
y ≈ 42.31 liters
Therefore, approximately 42.31 liters of the mixture from container 2 should be added to container 1.
Hence, the correct answer is option B) 64.71 liters.
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DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. Can you explain this answer?
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DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. 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 DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. Can you explain this answer?.
DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. 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 DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. Can you explain this answer?.
Solutions for DIRECTIONS for questions: Select the correct alternative from the given choices. A milkman has two containers, containing mixtures of milk and water. The first container has 110 litres of a mixture of milk and water in the ratio of 5 : 6. The second container has a mixture of milk and water in the ratio of 7 : 3. How much mixture should be taken from the second container and added to the first so that the ratio of the milk and water in the first container will become 6 : 5?a) 65.92 litresb) 64.71 litresc) 64.85 litresd) 59.62 litresCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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