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There are 2 containers of 1 L each which are exactly half filled. The first container named container A contains pure alcohol and the second container named container B contains pure water. A cup of volume 70 ml is used to transfer the contents among the containers. Initially, 2 cups of A is poured in B and was mixed thoroughly. After this 3 cups were taken from B and were put in A and mixed. After which 1 cup was taken and put in B. If the concentration of alcohol in A is P and the concentration of water in B is Q. Which of the following is true?
  • a)
    Q < P < 50%
  • b)
    50% < Q < P
  • c)
    50% < P < Q
  • d)
    P = Q
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
There are 2 containers of 1 L each which are exactly half filled. The ...
A has 500ml of alcohol and B has 500ml of water.
We see that after all the transfer, both the container will have 500ml each.
Let A has x ml of alcohol in it. Thus it will have 500 - x ml of water.  
Since overall A+B has 500 ml each of water and alcohol. If A has x ml alcohol then B will have 500 − x ml of alcohol.
Therefore B will have x ml of water.
Concentration of alcohol in 

Concentration of water in

Thus P = Q
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Most Upvoted Answer
There are 2 containers of 1 L each which are exactly half filled. The ...
> P

The concentration of alcohol in A (container A) is greater than the concentration of water in B (container B).

Explanation:
Initially, container A contains pure alcohol and container B contains pure water.

Step 1: 2 cups of A are poured into B and mixed thoroughly. After this step, both containers will have a mixture of alcohol and water, but the concentration of alcohol in A will be higher than the concentration of water in B.

Step 2: 3 cups are taken from B and put into A and mixed. After this step, container A will have a higher concentration of alcohol, and container B will have a higher concentration of water.

Step 3: 1 cup is taken from A and put into B. This step does not change the concentrations of alcohol and water in the respective containers.

Since container A started with pure alcohol and container B started with pure water, the concentration of alcohol in A (P) will always be greater than the concentration of water in B (Q).
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There are 2 containers of 1 L each which are exactly half filled. The first container named container A contains pure alcohol and the second container named container B contains pure water. A cup of volume 70 ml is used to transfer the contents among the containers. Initially, 2 cups of A is poured in B and was mixed thoroughly. After this 3 cups were taken from B and were put in A and mixed. After which 1 cup was taken and put in B. If the concentration of alcohol in A is P and the concentration of water in B is Q. Which of the following is true?a)Q < P < 50%b)50% < Q < Pc)50% < P < Qd)P = QCorrect answer is option 'D'. Can you explain this answer?
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There are 2 containers of 1 L each which are exactly half filled. The first container named container A contains pure alcohol and the second container named container B contains pure water. A cup of volume 70 ml is used to transfer the contents among the containers. Initially, 2 cups of A is poured in B and was mixed thoroughly. After this 3 cups were taken from B and were put in A and mixed. After which 1 cup was taken and put in B. If the concentration of alcohol in A is P and the concentration of water in B is Q. Which of the following is true?a)Q < P < 50%b)50% < Q < Pc)50% < P < Qd)P = QCorrect answer is option 'D'. 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 There are 2 containers of 1 L each which are exactly half filled. The first container named container A contains pure alcohol and the second container named container B contains pure water. A cup of volume 70 ml is used to transfer the contents among the containers. Initially, 2 cups of A is poured in B and was mixed thoroughly. After this 3 cups were taken from B and were put in A and mixed. After which 1 cup was taken and put in B. If the concentration of alcohol in A is P and the concentration of water in B is Q. Which of the following is true?a)Q < P < 50%b)50% < Q < Pc)50% < P < Qd)P = QCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 2 containers of 1 L each which are exactly half filled. The first container named container A contains pure alcohol and the second container named container B contains pure water. A cup of volume 70 ml is used to transfer the contents among the containers. Initially, 2 cups of A is poured in B and was mixed thoroughly. After this 3 cups were taken from B and were put in A and mixed. After which 1 cup was taken and put in B. If the concentration of alcohol in A is P and the concentration of water in B is Q. Which of the following is true?a)Q < P < 50%b)50% < Q < Pc)50% < P < Qd)P = QCorrect answer is option 'D'. Can you explain this answer?.
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