Multiple choice

A yellow glass has pineapple juice and red glass has cranberry juice both of equal volumes. 150 ml from yellow glass is taken and poured into the red glass and thoroughly mixed. 150 ml from the red glass is poured into the yellow glass and mixed. This process is repeated 3 more times. Find the ratio of pineapple juice in yellow glass to cranberry juice in red glass.

  1. 1 : 2

  2. 2 : 1

  3. 1 : 3

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This is a classic mixture problem. Since the volumes are equal and the exchange is equal, the concentration of pineapple juice in the yellow glass will eventually equal the concentration of cranberry juice in the red glass due to symmetry.

AI explanation

When two glasses of pure liquids of equal volumes undergo any number of successive equal-volume exchanges, the proportion of pure liquid originally in each glass to the total volume remains symmetrical. The process maintains a completely balanced transfer of liquids between the two glasses, meaning the ratio of pineapple juice in the yellow glass to cranberry juice in the red glass remains 1 to 1. Since 1 to 1 is not among the listed options, the result is None of these.

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