CAT 2022 Slot 2 QA Q6 Ratio, Mixtures & Averages

Question 6 of the Quantitative Ability (QA) section, CAT 2022 Slot 2, with CAT's official answer and a worked solution.

There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred back to the first container. Next, half the content of the first container is transferred back to the second container. Then the ratio of sugar syrup and milk in the second container is
  1. A
    5 : 6
  2. B
    5 : 4
  3. C
    6 : 5
  4. D
    4 : 5

Answer: (A) 5 : 6 Ratio, Mixtures & Averages MCQ

Solution

  1. Start: container 1 has syrup 1, container 2 has milk 1 (units).
  2. Half of container 1 goes to 2: container 2 holds S 0.5, M 1. Half of that returns: container 1 holds S 0.75, M 0.5; container 2 holds S 0.25, M 0.5.
  3. Half of container 1 (S 0.375, M 0.25) goes to 2: container 2 holds S 0.625, M 0.75.
  4. Ratio \(0.625:0.75=5:6\).

Same concept in other years

See every question on Transferring between two vessels and back: track each liquid.

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