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A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of pouring out two-thirds the content and replacing with water is repeated three more times, then the final ratio of milk to water in the glass, is

Updated On: Mar 24, 2026
  • 1:80
  • 1:27
  • 1:26
  • 1:81
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The Correct Option is A

Solution and Explanation

We can solve this using the "successive dilution" method. Imagine the glass initially holds 1 unit of milk.

Iteration 1: Pour out two-thirds of the milk, leaving one-third. The milk remaining is:

Remaining Milk = Initial Milk × (1/3) = 1 × (1/3) = 1/3

Refill the glass with water to the 1-unit mark. The total volume remains 1 unit, but the milk concentration changes.

Iteration 2: Repeat the process:

Remaining Milk = (1/3) × (1/3) = 1/9

Iteration 3:

Remaining Milk = (1/9) × (1/3) = 1/27

Iteration 4:

Remaining Milk = (1/27) × (1/3) = 1/81

After four iterations, the milk fraction is 1/81. The rest is water, so the water fraction is:

Water Fraction = 1 - Milk Fraction = 1 - (1/81) = 80/81

The final milk-to-water ratio is 1:80, confirming 1:80 is the correct answer.

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
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