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CAT 2023 Slot 3 · Quant · Mixtures and Alligation · medium

A container has 81 litres of pure milk. 27 litres is drawn off and replaced with water; this process is repeated once more (i.e., done twice in…

Single correct option

A container has 81 litres of pure milk. 27 litres is drawn off and replaced with water; this process is repeated once more (i.e., done twice in total). How much milk (in litres) is left in the container?
  1. A. 27
  2. B. 32
  3. C. 36
  4. D. 40
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Answer: (C) 36

Each time, 27/81 = 1/3 of the mixture is removed and replaced with water, so 2/3 of the milk remains after each operation. After 2 operations: 81 × (2/3)² = 81 × 4/9 = 36 litres of milk remain.
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Original question written in the CAT 2023 Slot 3 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake