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?

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Answers

Avnesh
Dec 23, 2020
►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.

Assume the volume in each container as 16 ltsAmount 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.
Assume the volume in each container as 16 ltsAmount 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.