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A vessel contains 3 litres of glycerine.1 litre of glycerine is taken out and 1 litre of water is added. Then 1 litre of this mixture is taken out and 1 litre of water is added. What is the ratio of water to glycerine in the final mixture?
  • a)
    5 : 9
  • b)
    5 : 4
  • c)
    2 : 3
  • d)
    4 : 9
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
The final ratio of glycerine to the total quantity is-
Thus the ratio of water to glycerine in the final mixture will be 5 : 4.
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DIRECTIONSfor the question:Solve the following question and mark the b...
Question Analysis:
We are given a vessel containing 3 litres of glycerine. We take out 1 litre of glycerine and add 1 litre of water. Then, we again take out 1 litre of this mixture and add 1 litre of water. We need to find the ratio of water to glycerine in the final mixture.

Solution:
Let's analyze the given information step by step to find the ratio of water to glycerine in the final mixture.

Step 1: First Replacement
In the first replacement, we take out 1 litre of glycerine from the vessel. So, the remaining quantity of glycerine in the vessel is 3 - 1 = 2 litres.

Then, we add 1 litre of water to the vessel. Now, the total quantity of liquid in the vessel is 2 + 1 = 3 litres.

Step 2: Second Replacement
In the second replacement, we take out 1 litre of the mixture from the vessel. So, the remaining quantity of liquid in the vessel is 3 - 1 = 2 litres.

Then, we add 1 litre of water to the vessel. Now, the total quantity of liquid in the vessel is 2 + 1 = 3 litres.

Final Mixture:
After the second replacement, the vessel contains 3 litres of liquid.

Since the total quantity of liquid in the vessel is 3 litres, the remaining quantity of glycerine in the vessel is 0 litres (as we have replaced all the glycerine with water).

Therefore, the ratio of water to glycerine in the final mixture is 3:0, which simplifies to 3:0 or simply 3:0.

However, it is important to note that any ratio with 0 in the denominator is undefined. Therefore, the ratio of water to glycerine in the final mixture is undefined.

Answer:
The ratio of water to glycerine in the final mixture is undefined. Therefore, none of the given options (a), (b), (c), or (d) is correct.
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.A vessel contains 3 litres of glycerine.1 litre of glycerine is taken out and 1 litre of water is added. Then 1 litre of this mixture is taken out and 1 litre of water is added. What is the ratio of water to glycerine in the final mixture?a)5 : 9b)5 : 4c)2 : 3d)4 : 9Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.A vessel contains 3 litres of glycerine.1 litre of glycerine is taken out and 1 litre of water is added. Then 1 litre of this mixture is taken out and 1 litre of water is added. What is the ratio of water to glycerine in the final mixture?a)5 : 9b)5 : 4c)2 : 3d)4 : 9Correct 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.A vessel contains 3 litres of glycerine.1 litre of glycerine is taken out and 1 litre of water is added. Then 1 litre of this mixture is taken out and 1 litre of water is added. What is the ratio of water to glycerine in the final mixture?a)5 : 9b)5 : 4c)2 : 3d)4 : 9Correct 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.A vessel contains 3 litres of glycerine.1 litre of glycerine is taken out and 1 litre of water is added. Then 1 litre of this mixture is taken out and 1 litre of water is added. What is the ratio of water to glycerine in the final mixture?a)5 : 9b)5 : 4c)2 : 3d)4 : 9Correct answer is option 'B'. Can you explain this answer?.
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