From a cask containing y liters of milk, x liters of milk is drawn out and z liters of water are then added to the cask. This process is repeated one more time. What is the fraction of milk finally present in the mixture in the cask?(1) x = 20, y = 100(2) x and z form 20% and 10% of y, respectivelya)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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(1) x = 20, y = 100
(2) x and z form 20% and 10% of y, respectively

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?

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From a cask containing y liters of milk, x liters of milk is drawn out...

Understanding the Problem
To determine the fraction of milk left in the cask after two operations of drawing milk and adding water, we can use the following steps:
1. Draw x liters of milk from y liters.
2. Add z liters of water.
3. Repeat the process.
The fraction of milk left after each operation can be calculated and then combined.
Analyzing Statement (1)
- Given:
- x = 20 liters
- y = 100 liters
From this, we can calculate the fraction of milk remaining after the first operation:
- After first draw:
- Remaining milk = y - x = 100 - 20 = 80 liters
- Fraction of milk left = 80/100 = 0.8
After the second operation:
- Draw another 20 liters (from the remaining 80 liters):
- Remaining milk = 80 - 20 = 60 liters
- Adding water doesn’t affect the milk fraction.
Thus, the final fraction of milk = 60/100 = 0.6.
This statement alone is sufficient.
Analyzing Statement (2)
- Given:
- x = 20% of y
- z = 10% of y
Using the relationship:
- If y = 100 liters, then x = 20 liters and z = 10 liters.
This indicates a specific case similar to statement (1), but it also allows for other values of y. The calculations would follow the same logic, leading to the conclusion that the fraction of milk would still be computable.
This statement alone is also sufficient to find the final fraction of milk.
Conclusion
- Both statements provide sufficient information, but statement (2) alone is sufficient as it generalizes the relationship based on percentages.
Thus, the correct answer is option B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Answered by Talent Skill Learning · View profile

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From a cask containing y liters of milk, x liters of milk is drawn out and z liters of water are then added to the cask. This process is repeated one more time. What is the fraction of milk finally present in the mixture in the cask?(1) x = 20, y = 100(2) x and z form 20% and 10% of y, respectivelya)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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From a cask containing y liters of milk, x liters of milk is drawn out and z liters of water are then added to the cask. This process is repeated one more time. What is the fraction of milk finally present in the mixture in the cask?(1) x = 20, y = 100(2) x and z form 20% and 10% of y, respectivelya)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 From a cask containing y liters of milk, x liters of milk is drawn out and z liters of water are then added to the cask. This process is repeated one more time. What is the fraction of milk finally present in the mixture in the cask?(1) x = 20, y = 100(2) x and z form 20% and 10% of y, respectivelya)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 From a cask containing y liters of milk, x liters of milk is drawn out and z liters of water are then added to the cask. This process is repeated one more time. What is the fraction of milk finally present in the mixture in the cask?(1) x = 20, y = 100(2) x and z form 20% and 10% of y, respectivelya)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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