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Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?
- a)2
- b)4
- c)6
- d)8
- e)12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Solution A contains equal amount of alcohol and water in it. It is hea...
Given:
- Solution A
- Volume of water = x liters (say)
- So, volume of alcohol = x liters (Volume of alcohol and water is equal on the solution)
Reduced volume of water in solution A = 0.5x liters, as 50% of the water evaporates from the original solution having x litres of water
- Solution B
- Volume of solution B = 0.5x
- (Volume of solution B is equal to reduced volume of water in solution A, as calculated above)
- Also,(Volume of alcohol): (Volume of water) = 2: 3
- Volume of solution B = 0.5x
- Solution A + Solution B (also called as ‘Resultant Solution’)
- Volume of alcohol = 12 liters
To Find: Amount of water to be added to the resultant solution to increase the concentration of water to 50%?
- Let the amount of water to be added to the resultant solution be y liters.
Approach:
- We know the volume of water and alchohol in the Solution A in terms of x. We will find the volume of water and alcohol in the Solution B in terms of x, by using the ratio of volume of alcohol to volume of water i.e. 2:3.
- After knowing the volume of water and volume of alcohol in terms of x in both Solution A and Solution B, we can find the volume of water and alcohol in the resulting solution in terms of x, by adding the constituents of the Solutions A and B.
- Knowing the volume of alcohol in the resulting solution in terms of x, we will be able to find the value of x, by equating volume of alcohol in resulting solution to 12 liters.
- After knowing the value of x, we will be able to get the values of volume of alcohol and water in the resulting solution.
- Now to make the concentration of alcohol to be 50%, we are adding y liters of water. We can finally calculate the value of y, by using the relation
- New Volume of water in solution after adding water= Volume of water in resultant solution + y
- Total volume of solution after adding water=Volume of resultant solution+y
Working out:
- Volume of solution B = 0.5x
- Volume of alcohol:Volume of water =2:3,
2. Volume of Alcohol in the resultant solution = Volume of alcohol in solution A + volume of Alcohol in solution B
- Volume of alcohol in resultant solution = x + 0.2x = 1.2x (See diagram above)
- Now we know that volume of alcohol in the resultant solution = 12 liters
- Thus, 1.2x = 12 , x = 10 liters
3. Volume of Water in the resultant solution = Volume of Water in solution A + volume of Water in solution B
- Volume of water in resultant solution = 0.5x + 0.3x = 0.8x (See diagram above)
- So, Volume of water in the resultant solution =0.8*10=8liters (As x=10, already calculated above)
4. Now the amount of water to be added is y liters
- So, New Volume of water in solution after adding water = 8 + y
- Total volume of solution after adding water= 12 + (8+y) = 20 + y
- Now we know the concentration of water is to be made 50%, so,
5. Hence 4 liters of water needs to be added to increase the volume of water to 50% of the solution
Answer : B
Most Upvoted Answer
Solution A contains equal amount of alcohol and water in it. It is hea...
Given information:
- Solution A contains equal amount of alcohol and water.
- 50% of water in Solution A evaporates.
- Solution B has alcohol and water in the ratio 2:3.
- Volume of alcohol in the resultant solution is 12 liters.
Calculations:
Let's assume the initial volume of Solution A to be x liters (x alcohol + x water).
After heating, 50% of water evaporates, leaving 0.5x liters of water in Solution A.
This means 0.5x liters of water evaporated, reducing the total volume of Solution A to 1.5x liters.
The volume of alcohol in the resultant solution is 12 liters, which is equal to the initial volume of alcohol in Solution A.
Therefore, the initial volume of alcohol in Solution A is 12 liters.
Since Solution A initially had equal amounts of alcohol and water, the initial volume of Solution A is 24 liters (12 alcohol + 12 water).
Now, Solution B is added to the reduced volume of water in Solution A. Since Solution B has a ratio of alcohol to water as 2:3, the volume of water in Solution B is 3 parts out of 5 parts total.
Calculating the volume of Solution B:
- Volume of water in Solution B = (3/5) * (0.5x) = 0.3x
- Volume of alcohol in Solution B = (2/5) * (0.5x) = 0.2x
The total volume of the resultant solution = 1.5x (from Solution A) + 0.3x (from Solution B) = 1.8x liters.
Final step:
To increase the concentration of water in the resultant solution to 50%, we need to have an equal amount of water and alcohol in the resultant solution.
Since the initial volume of alcohol in the resultant solution is 12 liters, we need to add 12 more liters of water to achieve the 50% concentration of water.
Therefore, the answer is option B) 4 liters.
- Solution A contains equal amount of alcohol and water.
- 50% of water in Solution A evaporates.
- Solution B has alcohol and water in the ratio 2:3.
- Volume of alcohol in the resultant solution is 12 liters.
Calculations:
Let's assume the initial volume of Solution A to be x liters (x alcohol + x water).
After heating, 50% of water evaporates, leaving 0.5x liters of water in Solution A.
This means 0.5x liters of water evaporated, reducing the total volume of Solution A to 1.5x liters.
The volume of alcohol in the resultant solution is 12 liters, which is equal to the initial volume of alcohol in Solution A.
Therefore, the initial volume of alcohol in Solution A is 12 liters.
Since Solution A initially had equal amounts of alcohol and water, the initial volume of Solution A is 24 liters (12 alcohol + 12 water).
Now, Solution B is added to the reduced volume of water in Solution A. Since Solution B has a ratio of alcohol to water as 2:3, the volume of water in Solution B is 3 parts out of 5 parts total.
Calculating the volume of Solution B:
- Volume of water in Solution B = (3/5) * (0.5x) = 0.3x
- Volume of alcohol in Solution B = (2/5) * (0.5x) = 0.2x
The total volume of the resultant solution = 1.5x (from Solution A) + 0.3x (from Solution B) = 1.8x liters.
Final step:
To increase the concentration of water in the resultant solution to 50%, we need to have an equal amount of water and alcohol in the resultant solution.
Since the initial volume of alcohol in the resultant solution is 12 liters, we need to add 12 more liters of water to achieve the 50% concentration of water.
Therefore, the answer is option B) 4 liters.
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Question Description
Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer?.
Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer?.
Solutions for Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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