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Solution A contains vegetable oil, alcohol and water in the ratio of 2 : 5 : 7 and solution B contains the same in the ratio of 3 : 5 : 6. A new solution is made by mixing the two solutions in a certain ratio. Which of the following is an obtainable ratio of vegetable oil, alcohol and water in the new solution?
- a)1 : 5 : 7
- b)4 : 5 : 9
- c)5 : 10 : 13
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Solution A contains vegetable oil, alcohol and water in the ratio of 2...
In both the solutions, the proportion of alcohol is the same. Hence, in any solutions made by using these two solutions, the proportion of alcohol should be the same. Out of the options, only option 3 satisfies the above condition.
Hence, option 3.
Hence, option 3.
Most Upvoted Answer
Solution A contains vegetable oil, alcohol and water in the ratio of 2...
To find the ratio of vegetable oil, alcohol, and water in the new solution, we need to determine the quantities of each ingredient in the two given solutions and then mix them in a certain ratio.
Let's assume that the quantities of vegetable oil, alcohol, and water in Solution A are 2x, 5x, and 7x respectively. Similarly, in Solution B, let the quantities be 3y, 5y, and 6y respectively.
Now, we need to find a ratio in which Solution A and Solution B are mixed. Let's assume that the mixing ratio is p:q.
Step 1: Determine the total quantities of the ingredients in the new solution
The total quantity of vegetable oil in the new solution will be 2x * p + 3y * q.
The total quantity of alcohol in the new solution will be 5x * p + 5y * q.
The total quantity of water in the new solution will be 7x * p + 6y * q.
Step 2: Set up equations based on the given ratios
According to the given ratios, we have the following equations:
2x/5x + 3y/5y = p/q (for the vegetable oil)
5x/5x + 5y/5y = p/q (for the alcohol)
7x/5x + 6y/5y = p/q (for the water)
Simplifying these equations, we get:
2/5 + 3/5 = p/q (for the vegetable oil)
1 = p/q (for the alcohol)
7/5 + 6/5 = p/q (for the water)
Step 3: Simplify the equations further
Adding the fractions in the first equation, we get:
5/5 = p/q
1 = p/q (for the vegetable oil)
Similarly, the other two equations can be simplified as:
1 = p/q (for the alcohol)
13/5 = p/q (for the water)
Step 4: Determine the ratio of vegetable oil, alcohol, and water in the new solution
From step 3, we can see that the ratio of vegetable oil, alcohol, and water in the new solution is 1:1:13/5, which can be simplified as 5:5:13.
Therefore, the obtainable ratio of vegetable oil, alcohol, and water in the new solution is 5:5:13, which is equivalent to 5:10:13.
Hence, the correct answer is option C) 5:10:13.
Let's assume that the quantities of vegetable oil, alcohol, and water in Solution A are 2x, 5x, and 7x respectively. Similarly, in Solution B, let the quantities be 3y, 5y, and 6y respectively.
Now, we need to find a ratio in which Solution A and Solution B are mixed. Let's assume that the mixing ratio is p:q.
Step 1: Determine the total quantities of the ingredients in the new solution
The total quantity of vegetable oil in the new solution will be 2x * p + 3y * q.
The total quantity of alcohol in the new solution will be 5x * p + 5y * q.
The total quantity of water in the new solution will be 7x * p + 6y * q.
Step 2: Set up equations based on the given ratios
According to the given ratios, we have the following equations:
2x/5x + 3y/5y = p/q (for the vegetable oil)
5x/5x + 5y/5y = p/q (for the alcohol)
7x/5x + 6y/5y = p/q (for the water)
Simplifying these equations, we get:
2/5 + 3/5 = p/q (for the vegetable oil)
1 = p/q (for the alcohol)
7/5 + 6/5 = p/q (for the water)
Step 3: Simplify the equations further
Adding the fractions in the first equation, we get:
5/5 = p/q
1 = p/q (for the vegetable oil)
Similarly, the other two equations can be simplified as:
1 = p/q (for the alcohol)
13/5 = p/q (for the water)
Step 4: Determine the ratio of vegetable oil, alcohol, and water in the new solution
From step 3, we can see that the ratio of vegetable oil, alcohol, and water in the new solution is 1:1:13/5, which can be simplified as 5:5:13.
Therefore, the obtainable ratio of vegetable oil, alcohol, and water in the new solution is 5:5:13, which is equivalent to 5:10:13.
Hence, the correct answer is option C) 5:10:13.
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Community Answer
Solution A contains vegetable oil, alcohol and water in the ratio of 2...
Mixing solutions and b in equal proportions gives
2.5:5:6.5
so option c satisfies
2.5:5:6.5
so option c satisfies
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Solution A contains vegetable oil, alcohol and water in the ratio of 2 : 5 : 7 and solution B contains the same in the ratio of 3 : 5 : 6. A new solution is made by mixing the two solutions in a certain ratio. Which of the following is an obtainable ratio of vegetable oil, alcohol and water in the new solution?a)1 : 5 : 7b)4 : 5 : 9c)5 : 10 : 13d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Solution A contains vegetable oil, alcohol and water in the ratio of 2 : 5 : 7 and solution B contains the same in the ratio of 3 : 5 : 6. A new solution is made by mixing the two solutions in a certain ratio. Which of the following is an obtainable ratio of vegetable oil, alcohol and water in the new solution?a)1 : 5 : 7b)4 : 5 : 9c)5 : 10 : 13d)None of theseCorrect 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 Solution A contains vegetable oil, alcohol and water in the ratio of 2 : 5 : 7 and solution B contains the same in the ratio of 3 : 5 : 6. A new solution is made by mixing the two solutions in a certain ratio. Which of the following is an obtainable ratio of vegetable oil, alcohol and water in the new solution?a)1 : 5 : 7b)4 : 5 : 9c)5 : 10 : 13d)None of theseCorrect 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 Solution A contains vegetable oil, alcohol and water in the ratio of 2 : 5 : 7 and solution B contains the same in the ratio of 3 : 5 : 6. A new solution is made by mixing the two solutions in a certain ratio. Which of the following is an obtainable ratio of vegetable oil, alcohol and water in the new solution?a)1 : 5 : 7b)4 : 5 : 9c)5 : 10 : 13d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice Solution A contains vegetable oil, alcohol and water in the ratio of 2 : 5 : 7 and solution B contains the same in the ratio of 3 : 5 : 6. A new solution is made by mixing the two solutions in a certain ratio. Which of the following is an obtainable ratio of vegetable oil, alcohol and water in the new solution?a)1 : 5 : 7b)4 : 5 : 9c)5 : 10 : 13d)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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