Bottles A and B contain alcohol-water solutions in ratios of 1:3 and 4:1 respectively. X liters of the solution from bottle A are to be mixed with Y liters of the solution from bottle B. What will be the percentage of alcohol in the resultant solution?(1) X = Y(2) Total 10 liters of solutions from bottles A and B are mixed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?

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(1) X = Y
(2) Total 10 liters of solutions from bottles A and B are mixed.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
d)
EACH statement ALONE is sufficient to answer the question asked
e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

Correct answer is option 'A'. Can you explain this answer?

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Bottles A and B contain alcohol-water solutions in ratios of 1:3 and 4...

Given:
- Bottle A contains alcohol-water solution in ratio of 1:3
- Bottle B contains alcohol-water solution in ratio of 4:1
- X liters of solution from bottle A are mixed with Y liters of solution from bottle B

To find:
- Percentage of alcohol in the resultant solution

Approach:
1. Calculate the amount of alcohol in X liters of solution from bottle A.
2. Calculate the amount of alcohol in Y liters of solution from bottle B.
3. Calculate the total amount of alcohol in the resultant solution (X+Y liters).
4. Calculate the percentage of alcohol in the resultant solution.

Solution:
Statement (1) X = Y
- If X = Y, then the same volume of solution is taken from both bottles A and B.
- Since both bottles have different ratios of alcohol to water, the percentage of alcohol in the resultant solution cannot be determined solely based on X = Y.
- Statement (1) alone is not sufficient to answer the question.

Statement (2) Total 10 liters of solutions from bottles A and B are mixed.
- If the total volume of the mixture is 10 liters, we can determine the percentage of alcohol in the resultant solution.
- We can calculate the amount of alcohol in X liters of solution from bottle A and Y liters of solution from bottle B.
- We can calculate the total amount of alcohol in the resultant solution (X+Y liters).
- We can then calculate the percentage of alcohol in the resultant solution.
- Statement (2) alone is sufficient to answer the question.

Conclusion:
- Statement (2) alone is sufficient to answer the question.
- Therefore, the correct answer is option (B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question asked.

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Community Answer

Bottles A and B contain alcohol-water solutions in ratios of 1:3 and 4...

Let's analyze the statements:

Statement (1) alone: X = Y

If X = Y, it means that an equal volume of solution is taken from bottles A and B. Since bottle A has a 1:3 alcohol-water ratio and bottle B has a 4:1 ratio, the resulting mixture will have equal amounts of alcohol and water. Therefore, the percentage of alcohol in the resultant solution will be 50%.

Statement (1) alone is sufficient to answer the question.

Statement (2) alone: Total 10 liters of solutions from bottles A and B are mixed.

From statement (2) alone, we know the total volume of the mixture is 10 liters. However, we don't have any information about the specific volumes of solution X and Y taken from bottles A and B. Without knowing the individual quantities mixed, we cannot determine the percentage of alcohol in the resultant solution.

Statement (2) alone is not sufficient to answer the question.

Combining both statements:

From statement (1), we know that X = Y. However, we still don't have any information about the specific values of X and Y.

From statement (2), we know the total volume of the mixture is 10 liters.

Even when considering both statements together, we still don't have enough information to determine the values of X and Y or the respective quantities of alcohol and water in the resultant solution. Therefore, statements (1) and (2) together are not sufficient to answer the question.

The correct answer is (A): Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

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Bottles A and B contain alcohol-water solutions in ratios of 1:3 and 4:1 respectively. X liters of the solution from bottle A are to be mixed with Y liters of the solution from bottle B. What will be the percentage of alcohol in the resultant solution?(1) X = Y(2) Total 10 liters of solutions from bottles A and B are mixed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?

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Bottles A and B contain alcohol-water solutions in ratios of 1:3 and 4:1 respectively. X liters of the solution from bottle A are to be mixed with Y liters of the solution from bottle B. What will be the percentage of alcohol in the resultant solution?(1) X = Y(2) Total 10 liters of solutions from bottles A and B are mixed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Bottles A and B contain alcohol-water solutions in ratios of 1:3 and 4:1 respectively. X liters of the solution from bottle A are to be mixed with Y liters of the solution from bottle B. What will be the percentage of alcohol in the resultant solution?(1) X = Y(2) Total 10 liters of solutions from bottles A and B are mixed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bottles A and B contain alcohol-water solutions in ratios of 1:3 and 4:1 respectively. X liters of the solution from bottle A are to be mixed with Y liters of the solution from bottle B. What will be the percentage of alcohol in the resultant solution?(1) X = Y(2) Total 10 liters of solutions from bottles A and B are mixed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.

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