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A mixture consists of two spirits A and B; A evaporates at the rate of 2 ml per minute and B at 3 ml per minute. What will be the volume of the mixture after 10 minutes?
(1) Initial ratio of A and B in the mixture was 4 : 5.
(2) The final ratio of A and B in the mixture was 5 : 4.
  • 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 'C'. Can you explain this answer?
Most Upvoted Answer
A mixture consists of two spirits A and B; A evaporates at the rate of...
Understanding the Problem
To determine the volume of the mixture of spirits A and B after 10 minutes, we need to find out how much of each spirit evaporates over that time period.
Evaporation Rates
- Spirit A evaporates at 2 ml/min.
- Spirit B evaporates at 3 ml/min.
After 10 minutes:
- Total evaporation of A = 2 ml/min × 10 min = 20 ml
- Total evaporation of B = 3 ml/min × 10 min = 30 ml
Initial Conditions
We need to analyze the two statements given:
Statement (1): Initial Ratio of A and B was 4:5
- Let the volumes of A and B be 4x and 5x respectively.
- Initial volume of mixture = 4x + 5x = 9x.
After 10 minutes:
- Remaining A = 4x - 20 ml
- Remaining B = 5x - 30 ml
This allows us to calculate the remaining volumes, but we cannot find the exact initial volume (i.e., value of x) without more information.
Statement (2): Final Ratio of A and B is 5:4
After 10 minutes, the remaining volumes can be expressed as:
- Remaining A : Remaining B = (4x - 20) : (5x - 30) = 5 : 4
This equation provides a relationship between A and B after evaporation and allows us to solve for x.
Combining the Statements
Together:
- Statement (1) gives initial volumes.
- Statement (2) provides the final ratio after evaporation.
Using both statements, we can establish a clear relationship and find the exact values for A and B, allowing us to calculate the initial volume and subsequent evaporation effectively.
Conclusion
Therefore, both statements together are sufficient to answer the question, but neither alone is sufficient. Thus, the correct answer is option 'C'.
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A mixture consists of two spirits A and B; A evaporates at the rate of 2 ml per minute and B at 3 ml per minute. What will be the volume of the mixture after 10 minutes?(1) Initial ratio of A and B in the mixture was 4 : 5.(2) The final ratio of A and B in the mixture was 5 : 4.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 'C'. Can you explain this answer?
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A mixture consists of two spirits A and B; A evaporates at the rate of 2 ml per minute and B at 3 ml per minute. What will be the volume of the mixture after 10 minutes?(1) Initial ratio of A and B in the mixture was 4 : 5.(2) The final ratio of A and B in the mixture was 5 : 4.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 'C'. 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 A mixture consists of two spirits A and B; A evaporates at the rate of 2 ml per minute and B at 3 ml per minute. What will be the volume of the mixture after 10 minutes?(1) Initial ratio of A and B in the mixture was 4 : 5.(2) The final ratio of A and B in the mixture was 5 : 4.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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture consists of two spirits A and B; A evaporates at the rate of 2 ml per minute and B at 3 ml per minute. What will be the volume of the mixture after 10 minutes?(1) Initial ratio of A and B in the mixture was 4 : 5.(2) The final ratio of A and B in the mixture was 5 : 4.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 'C'. Can you explain this answer?.
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