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What is the percentage of alcohol in solution X?
(1) If 50 liters alcohol is added, X will contain 60% alcohol.
(2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.
  • 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 'B'. Can you explain this answer?
Verified Answer
What is the percentage of alcohol in solution X?(1) If 50 liters alcoh...
Statement (1): If 50 liters of alcohol is added, X will contain 60% alcohol.
This statement tells us the effect of adding 50 liters of alcohol to solution X. It states that after the addition, X will contain 60% alcohol. However, it doesn't provide any specific information about the initial percentage of alcohol in solution X or the total volume of solution X. Therefore, statement (1) alone is not sufficient to determine the percentage of alcohol in solution X.
Statement (2): If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.
This statement tells us the effect of adding water to solution X. It states that if the volume of water is equivalent to that of the total solution, X will contain 20% alcohol. However, it doesn't provide any specific information about the initial percentage of alcohol in solution X or the total volume of solution X. Therefore, statement (2) alone is not sufficient to determine the percentage of alcohol in solution X.
Now let's consider both statements together. From statement (1), we know that if 50 liters of alcohol is added, X will contain 60% alcohol. From statement (2), we know that if the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.
These statements provide conflicting information. Statement (1) suggests that adding more alcohol increases the percentage of alcohol in solution X, while statement (2) suggests that adding water decreases the percentage of alcohol in solution X. Therefore, the information provided by the two statements is contradictory and cannot be reconciled.
Therefore, when we consider both statements together, we still cannot determine the percentage of alcohol in solution X. Hence, the answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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Most Upvoted Answer
What is the percentage of alcohol in solution X?(1) If 50 liters alcoh...
Statement (1): If 50 liters of alcohol is added, X will contain 60% alcohol.
This statement tells us the effect of adding 50 liters of alcohol to solution X. It states that after the addition, X will contain 60% alcohol. However, it doesn't provide any specific information about the initial percentage of alcohol in solution X or the total volume of solution X. Therefore, statement (1) alone is not sufficient to determine the percentage of alcohol in solution X.
Statement (2): If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.
This statement tells us the effect of adding water to solution X. It states that if the volume of water is equivalent to that of the total solution, X will contain 20% alcohol. However, it doesn't provide any specific information about the initial percentage of alcohol in solution X or the total volume of solution X. Therefore, statement (2) alone is not sufficient to determine the percentage of alcohol in solution X.
Now let's consider both statements together. From statement (1), we know that if 50 liters of alcohol is added, X will contain 60% alcohol. From statement (2), we know that if the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.
These statements provide conflicting information. Statement (1) suggests that adding more alcohol increases the percentage of alcohol in solution X, while statement (2) suggests that adding water decreases the percentage of alcohol in solution X. Therefore, the information provided by the two statements is contradictory and cannot be reconciled.
Therefore, when we consider both statements together, we still cannot determine the percentage of alcohol in solution X. Hence, the answer is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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Community Answer
What is the percentage of alcohol in solution X?(1) If 50 liters alcoh...
Statement Analysis:
Given: We need to find the percentage of alcohol in solution X.

Statement 1:
- Adding 50 liters of alcohol will result in solution X containing 60% alcohol.
- This statement alone is not sufficient to determine the percentage of alcohol in solution X without additional information.

Statement 2:
- Adding the volume of water equivalent to the total solution will result in solution X containing 20% alcohol.
- This statement alone is sufficient to determine the percentage of alcohol in solution X, as it provides a clear indication of the alcohol content after dilution.

Conclusion:
- Statement 2 alone is sufficient to answer the question asked.
- Therefore, the correct answer is option 'B' which states that Statement 2 alone is sufficient, but Statement 1 alone is not sufficient to answer the question asked.
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What is the percentage of alcohol in solution X?(1) If 50 liters alcohol is added, X will contain 60% alcohol.(2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.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 'B'. Can you explain this answer?
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What is the percentage of alcohol in solution X?(1) If 50 liters alcohol is added, X will contain 60% alcohol.(2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.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 '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 What is the percentage of alcohol in solution X?(1) If 50 liters alcohol is added, X will contain 60% alcohol.(2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.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 '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 What is the percentage of alcohol in solution X?(1) If 50 liters alcohol is added, X will contain 60% alcohol.(2) If the volume of water, equivalent to that of the total solution, is added, X will contain 20% alcohol.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 'B'. Can you explain this answer?.
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