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A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respectively. What is the total volume of the mixture in liters?
(1) If the amount of liquid A were doubled, the ratio would be 1:2:3.
(2) If 5 liters of liquid A were added, the ratio would be 1:2:3.
  • 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?
Most Upvoted Answer
A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respe...
Statement 1:
If the amount of liquid A were doubled, the ratio would be 1:2:3.

Statement 2:
If 5 liters of liquid A were added, the ratio would be 1:2:3.

Approach:
To find the total volume of the mixture, we need to know the volume of each liquid in the mixture. Let's analyze each statement.

Statement 1:
If the amount of liquid A were doubled, the ratio would be 1:2:3.
- This statement gives us the new ratio if the amount of liquid A is doubled.
- However, it does not provide any information about the total volume of the mixture.
- Therefore, statement 1 alone is not sufficient to answer the question.

Statement 2:
If 5 liters of liquid A were added, the ratio would be 1:2:3.
- This statement tells us that if 5 liters of liquid A were added, the ratio would be 1:2:3.
- From the given ratio of 1:4:6, we can determine that the initial volumes of liquids A, B, and C are x, 4x, and 6x liters, respectively.
- Adding 5 liters of liquid A would result in a new volume of (x+5) liters for liquid A.
- We can set up the equation (x+5):(4x):(6x) = 1:2:3 based on the new ratio.
- Solving this equation, we can find the value of x and determine the total volume of the mixture.
- Therefore, statement 2 alone is sufficient to answer the question.

Conclusion:
Since statement 2 alone is sufficient to answer the question, but statement 1 alone is not, the correct answer is option 'B' - Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question asked.
Free Test
Community Answer
A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respe...
Statement (1) states that if the amount of liquid A were doubled, the ratio would be 1:2:3. Currently, the ratio of A:B:C is given as 1:4:6. If A were doubled, the new ratio would be 2:4:6, which simplifies to 1:2:3.
From this information, we can determine the volume of liquid A in the mixture. Since the ratio of A to the total mixture volume is 1:(1+4+6) = 1:11, and the new ratio after doubling A is 1:2, we can set up the equation:
2/1 = 11/V, where V represents the total volume of the mixture.
Solving this equation, we find V = 22 liters. Therefore, statement (1) alone is sufficient to answer the question.
Statement (2) states that if 5 liters of liquid A were added, the ratio would be 1:2:3. Since the original ratio of A:B:C is 1:4:6, adding 5 liters of A would change the ratio to (1+5):(4):(6), which simplifies to 6:4:6.
This new ratio does not allow us to determine the exact volume of the mixture since the quantities of B and C remain the same. Therefore, statement (2) alone is not sufficient to answer the question.
Considering both statements together, we have the information from statement (1) that the ratio would be 1:2:3 if the amount of liquid A were doubled, and from statement (2) that the ratio would be 1:2:3 if 5 liters of liquid A were added.
Both statements are consistent with each other, but they still do not provide enough information to determine the total volume of the mixture. Therefore, when both statements are considered together, they are not sufficient to answer the question.
Based on our analysis, 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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A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respectively. What is the total volume of the mixture in liters?(1) If the amount of liquid A were doubled, the ratio would be 1:2:3.(2) If 5 liters of liquid A were added, the ratio would be 1:2:3.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?
Question Description
A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respectively. What is the total volume of the mixture in liters?(1) If the amount of liquid A were doubled, the ratio would be 1:2:3.(2) If 5 liters of liquid A were added, the ratio would be 1:2:3.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 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respectively. What is the total volume of the mixture in liters?(1) If the amount of liquid A were doubled, the ratio would be 1:2:3.(2) If 5 liters of liquid A were added, the ratio would be 1:2:3.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 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respectively. What is the total volume of the mixture in liters?(1) If the amount of liquid A were doubled, the ratio would be 1:2:3.(2) If 5 liters of liquid A were added, the ratio would be 1:2:3.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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