From a 64-liter container of pure spirit, 8 liters are removed and replaced by…

2025

From a 64-liter container of pure spirit, 8 liters are removed and replaced by water. This operation is
performed a total of three times. What is the final quantity of spirit remaining in the container?

Answer: D. 42.88 litersEach replacement leaves 56/64 = 7/8 of the spirit. After three operations, spirit left = 64 x (7/8)^3 = 42.875 liters, approximately 42.88 liters.

  1. A.

    34.34 liters

  2. B.

    36.45 liters

  3. C.

    38.62 liters

  4. D.

    42.88 liters

Attempted by 2 students.

Show answer & explanation

Correct answer: D

Each replacement leaves 56/64 = 7/8 of the spirit. After three operations, spirit left = 64 x (7/8)^3 = 42.875 liters, approximately 42.88 liters.

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