CAT 2024 Slot 2 QA Q22 Ratio, Mixtures & Averages

Question 22 of the Quantitative Ability (QA) section, CAT 2024 Slot 2, with CAT's official answer and a worked solution.

When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become
  1. A
    4 : 3
  2. B
    2 : 1
  3. C
    3 : 2
  4. D
    5 : 4

Answer: (D) 5 : 4 Ratio, Mixtures & Averages MCQ

Solution

  1. Let the age gap be \(d\), so Rajesh \(= G + d\).
  2. \(d\) years ago Rajesh was \(G\) and Garima was \(G - d\): \(\frac{G}{G-d} = \frac32 \Rightarrow G = 3d\), Rajesh \(= 4d\).
  3. In \(d\) years Garima will be \(4d\) and Rajesh \(5d\): ratio \(5:4\).

Same concept in other years

See every question on Adding the same amount to each changes the ratio; difference stays fixed.

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