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Two casks of 48 L and 42 L are filled with mixtures of wine and water, the proportions in the two casks being respectively 13: 7 and 18: 17. If the contents(wine and water) of the two casks be mixed and 20 L of water is added to this mixture then what will be the proportion of wine to water in the resultant solution?
- a)21: 31
- b)12: 13
- c)13: 12
- d)12: 17
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Two casks of 48 L and 42 L are filled with mixtures of wine and water,...
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Two casks of 48 L and 42 L are filled with mixtures of wine and water,...
Step 1: Calculate the total amount of wine and water in each cask
- In the first cask:
- Wine = 48 L * 13/20 = 31.2 L
- Water = 48 L * 7/20 = 16.8 L
- In the second cask:
- Wine = 42 L * 18/35 = 21.6 L
- Water = 42 L * 17/35 = 20.4 L
Step 2: Calculate the total amount of wine and water in the mixture after combining the two casks
- Total wine = 31.2 L + 21.6 L = 52.8 L
- Total water = 16.8 L + 20.4 L = 37.2 L
Step 3: Calculate the proportion of wine to water in the resultant solution
- Wine:Water = 52.8 L : 37.2 L
- Simplifying the ratio, we get 52.8 : 37.2 = 12 : 13
Therefore, the proportion of wine to water in the resultant solution after adding 20 L of water is 12:13, which corresponds to option B.
- In the first cask:
- Wine = 48 L * 13/20 = 31.2 L
- Water = 48 L * 7/20 = 16.8 L
- In the second cask:
- Wine = 42 L * 18/35 = 21.6 L
- Water = 42 L * 17/35 = 20.4 L
Step 2: Calculate the total amount of wine and water in the mixture after combining the two casks
- Total wine = 31.2 L + 21.6 L = 52.8 L
- Total water = 16.8 L + 20.4 L = 37.2 L
Step 3: Calculate the proportion of wine to water in the resultant solution
- Wine:Water = 52.8 L : 37.2 L
- Simplifying the ratio, we get 52.8 : 37.2 = 12 : 13
Therefore, the proportion of wine to water in the resultant solution after adding 20 L of water is 12:13, which corresponds to option B.
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Two casks of 48 L and 42 L are filled with mixtures of wine and water, the proportions in the two casks being respectively 13: 7 and 18: 17. If the contents(wine and water) of the two casks be mixed and 20 L of water is added to this mixture then what will be the proportion of wine to water in the resultant solution?a)21: 31b)12: 13c)13: 12d)12: 17e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Two casks of 48 L and 42 L are filled with mixtures of wine and water, the proportions in the two casks being respectively 13: 7 and 18: 17. If the contents(wine and water) of the two casks be mixed and 20 L of water is added to this mixture then what will be the proportion of wine to water in the resultant solution?a)21: 31b)12: 13c)13: 12d)12: 17e)None of theseCorrect 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 Two casks of 48 L and 42 L are filled with mixtures of wine and water, the proportions in the two casks being respectively 13: 7 and 18: 17. If the contents(wine and water) of the two casks be mixed and 20 L of water is added to this mixture then what will be the proportion of wine to water in the resultant solution?a)21: 31b)12: 13c)13: 12d)12: 17e)None of theseCorrect 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 Two casks of 48 L and 42 L are filled with mixtures of wine and water, the proportions in the two casks being respectively 13: 7 and 18: 17. If the contents(wine and water) of the two casks be mixed and 20 L of water is added to this mixture then what will be the proportion of wine to water in the resultant solution?a)21: 31b)12: 13c)13: 12d)12: 17e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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