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DIRECTIONS for the question: Solve the following question and mark the best possible option.
Two vessels have equal volumes of pure alcohol and Pepsi. A bartender is mixing the drinks. He takes half the volume of the first vessel containing alcohol and transfers it to the second vessel containing Pepsi. He now transfers ½ of the resultant solution from the second vessel to the first. He repeats the entire process once more transferring always ½ of the resultant solution to the other vessel.
Q. Find the fractional volume of alcohol in the first container?
  • a)
    7/16
  • b)
    11/32
  • c)
    11/21
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
►Assume the volume in each container as 16 lts
►Amount of alcohol at the end of first process = 12 lt.
►Amount of alcohol at the end of second process = 11 lt.
►Volume of the 1st vessel at end of process 1 = 20 lt.
►Volume at the end of process 2 = 21 lt.
►The first container is 11/21 alcohol.
Hence the answer is option C.
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DIRECTIONSfor the question:Solve the following question and mark the b...
Half the volume of the second vessel back to the first vessel. Which of the following statements is true?

A) The first vessel now contains more Pepsi than alcohol.
B) The second vessel now contains more alcohol than Pepsi.
C) Both vessels now contain equal amounts of alcohol and Pepsi.
D) It is impossible to determine the ratios of alcohol to Pepsi in each vessel.

Solution:
Let the volume of each vessel be V. Initially, each vessel contains V/2 alcohol and V/2 Pepsi.
After the first transfer, the first vessel contains V/4 alcohol and 3V/4 Pepsi, while the second vessel contains 3V/4 alcohol and V/4 Pepsi.
After the second transfer, the first vessel contains V/4+V/8=3V/8 alcohol and 5V/8 Pepsi, while the second vessel contains 3V/8 alcohol and 5V/8+V/8=3V/4 Pepsi.
Therefore, option A is incorrect since the first vessel contains more Pepsi than alcohol.
Option B is also incorrect since the second vessel contains more Pepsi than alcohol.
Option D is incorrect since we have determined the new ratios of alcohol to Pepsi in each vessel.
Therefore, the correct option is C, which states that both vessels now contain equal amounts of alcohol and Pepsi.
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DIRECTIONSfor the question:Solve the following question and mark the b...
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.Two vessels have equal volumes of pure alcohol and Pepsi. A bartender is mixing the drinks. He takes half the volume of the first vessel containing alcohol and transfers it to the second vessel containing Pepsi. He now transfers ½ of the resultant solution from the second vessel to the first. He repeats the entire process once more transferring always ½ of the resultant solution to the other vessel.Q. Find the fractional volume of alcohol in the first container?a)7/16b)11/32c)11/21d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.Two vessels have equal volumes of pure alcohol and Pepsi. A bartender is mixing the drinks. He takes half the volume of the first vessel containing alcohol and transfers it to the second vessel containing Pepsi. He now transfers ½ of the resultant solution from the second vessel to the first. He repeats the entire process once more transferring always ½ of the resultant solution to the other vessel.Q. Find the fractional volume of alcohol in the first container?a)7/16b)11/32c)11/21d)None of theseCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONSfor the question:Solve the following question and mark the best possible option.Two vessels have equal volumes of pure alcohol and Pepsi. A bartender is mixing the drinks. He takes half the volume of the first vessel containing alcohol and transfers it to the second vessel containing Pepsi. He now transfers ½ of the resultant solution from the second vessel to the first. He repeats the entire process once more transferring always ½ of the resultant solution to the other vessel.Q. Find the fractional volume of alcohol in the first container?a)7/16b)11/32c)11/21d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and mark the best possible option.Two vessels have equal volumes of pure alcohol and Pepsi. A bartender is mixing the drinks. He takes half the volume of the first vessel containing alcohol and transfers it to the second vessel containing Pepsi. He now transfers ½ of the resultant solution from the second vessel to the first. He repeats the entire process once more transferring always ½ of the resultant solution to the other vessel.Q. Find the fractional volume of alcohol in the first container?a)7/16b)11/32c)11/21d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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