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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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