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A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?
(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.
(2) (b + g + 4.5)/3 = 3g/2
(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.
(2) (b + g + 4.5)/3 = 3g/2
- 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?
Verified Answer
A gasoline mixture contains g liters gasoline, b liters benzene, and a...
Statement (1): If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.
This statement alone provides information about the benzene content relative to the additives when 3 liters of additives are added. However, it does not give us any specific information about the quantities of gasoline, benzene, or additives in the original mixture. Therefore, it is not sufficient to answer the question.
Statement (2): (b + g + 4.5)/3 = 3g/2
This equation provides a relationship between the quantities of gasoline (g) and benzene (b) in the mixture. However, it does not provide any information about the quantity of additives or the total quantity of the mixture. Without knowing the specific quantities of gasoline, benzene, and additives, we cannot determine the number of liters of additives in the tank. Hence, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we have some information about the benzene content relative to additives (from statement 1) and a relationship between gasoline and benzene quantities (from statement 2). However, we still lack the necessary information to determine the actual quantities or solve for the number of liters of additives. Therefore, the answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
Most Upvoted Answer
A gasoline mixture contains g liters gasoline, b liters benzene, and a...
Statement (1): If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.
This statement alone provides information about the benzene content relative to the additives when 3 liters of additives are added. However, it does not give us any specific information about the quantities of gasoline, benzene, or additives in the original mixture. Therefore, it is not sufficient to answer the question.
Statement (2): (b + g + 4.5)/3 = 3g/2
This equation provides a relationship between the quantities of gasoline (g) and benzene (b) in the mixture. However, it does not provide any information about the quantity of additives or the total quantity of the mixture. Without knowing the specific quantities of gasoline, benzene, and additives, we cannot determine the number of liters of additives in the tank. Hence, statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we have some information about the benzene content relative to additives (from statement 1) and a relationship between gasoline and benzene quantities (from statement 2). However, we still lack the necessary information to determine the actual quantities or solve for the number of liters of additives. Therefore, the answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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A gasoline mixture contains g liters gasoline, b liters benzene, and a...
Understanding the Problem
We have a gasoline mixture that contains g liters of gasoline, b liters of benzene, and a liters of additives. The total volume of the mixture is 12 liters, i.e., g + b + a = 12. We need to find the value of a (liters of additives).
Analyzing Statement (1)
- Condition after adding additives: If 3 liters of additives are added, the new total is 15 liters.
- Percentage of benzene: Benzene accounts for 30% of the mixture. Thus, 0.3 * 15 = 4.5 liters of benzene.
From this, we can infer:
- b = 4.5 liters.
Now substituting this into the total volume equation:
- g + 4.5 + a = 12
- This simplifies to g + a = 7.
We can express a in terms of g:
- a = 7 - g.
Since g can take any value between 0 and 7, we cannot find a unique value for a. Hence, Statement (1) alone is insufficient.
Analyzing Statement (2)
- Given equation: (b + g + 4.5)/3 = 3g/2.
- This simplifies to b + g + 4.5 = 4.5g.
- Rearranging gives b = 4.5g - g - 4.5 = 3.5g - 4.5.
Now we can substitute b into the total volume equation:
- g + (3.5g - 4.5) + a = 12
- This simplifies to 4.5g + a = 16.5.
Thus, a = 16.5 - 4.5g.
- Here, we can derive a as a function of g, but we can't find a unique solution without a specific value of g. Hence, Statement (2) alone is also insufficient.
Combining Statements (1) and (2)
- From Statement (1), we have b = 4.5.
- Substituting b into Statement (2) gives a unique equation.
Solving these together provides a unique solution for both g and a, allowing us to determine the exact value of additives in the mixture.
Conclusion
Thus, both statements together are sufficient to find the volume of additives in the tank, confirming that the correct answer is option 'C'.
We have a gasoline mixture that contains g liters of gasoline, b liters of benzene, and a liters of additives. The total volume of the mixture is 12 liters, i.e., g + b + a = 12. We need to find the value of a (liters of additives).
Analyzing Statement (1)
- Condition after adding additives: If 3 liters of additives are added, the new total is 15 liters.
- Percentage of benzene: Benzene accounts for 30% of the mixture. Thus, 0.3 * 15 = 4.5 liters of benzene.
From this, we can infer:
- b = 4.5 liters.
Now substituting this into the total volume equation:
- g + 4.5 + a = 12
- This simplifies to g + a = 7.
We can express a in terms of g:
- a = 7 - g.
Since g can take any value between 0 and 7, we cannot find a unique value for a. Hence, Statement (1) alone is insufficient.
Analyzing Statement (2)
- Given equation: (b + g + 4.5)/3 = 3g/2.
- This simplifies to b + g + 4.5 = 4.5g.
- Rearranging gives b = 4.5g - g - 4.5 = 3.5g - 4.5.
Now we can substitute b into the total volume equation:
- g + (3.5g - 4.5) + a = 12
- This simplifies to 4.5g + a = 16.5.
Thus, a = 16.5 - 4.5g.
- Here, we can derive a as a function of g, but we can't find a unique solution without a specific value of g. Hence, Statement (2) alone is also insufficient.
Combining Statements (1) and (2)
- From Statement (1), we have b = 4.5.
- Substituting b into Statement (2) gives a unique equation.
Solving these together provides a unique solution for both g and a, allowing us to determine the exact value of additives in the mixture.
Conclusion
Thus, both statements together are sufficient to find the volume of additives in the tank, confirming that the correct answer is option 'C'.
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Question Description
A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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 gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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 gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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?.
A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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 gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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 gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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?.
Solutions for A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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? defined & explained in the simplest way possible. Besides giving the explanation of
A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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?, a detailed solution for A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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? has been provided alongside types of A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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? theory, EduRev gives you an
ample number of questions to practice A gasoline mixture contains g liters gasoline, b liters benzene, and a liters of other additives. If there are 12 liters of gasonline mixture in an automobile tank, how many liters of additives are in the tank?(1) If 3 liters of additives were added to the mixture, benzene would only account for 30% of the total mixture.(2) (b + g + 4.5)/3 = 3g/2a)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? tests, examples and also practice GMAT tests.
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