Multiple choice

From a vessel full of milk of capacity of 14 litres, 7 litres of milk is replaced by water and this process is repeated once more. Find the volume of milk in the final mixture.

  1. 3.5 litres

  2. 7 litres

  3. 10 litres

  4. 14 litres

  5. 49 litres
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A Correct answer
Explanation

Formula for replacement: Final amount = Initial * (1 - removed/total)^n. Here, 14 * (1 - 7/14)^2 = 14 * (0.5)^2 = 14 * 0.25 = 3.5 litres.

AI explanation

Using the formula for repeated replacement, the final quantity of milk equals the initial volume multiplied by the fraction of milk remaining after each replacement, raised to the number of operations. For this vessel, the calculation is 14 multiplied by (7 divided by 14) squared. This simplifies to 14 multiplied by one fourth, giving a result of 3.5 litres.

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