CAT 2024 Slot 3 QA Q19 Ratio, Mixtures & Averages

Question 19 of the Quantitative Ability (QA) section, CAT 2024 Slot 3, with CAT's official answer and a worked solution.

Rajesh and Vimal own 20 hectares and 30 hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by Vimal are in the ratio of 5 : 3. If the total cultivation area of wheat and mustard are in the ratio 11 : 9, then the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is
  1. A
    1 : 1
  2. B
    7 : 9
  3. C
    4 : 3
  4. D
    3 : 7

Answer: (B) 7 : 9 Ratio, Mixtures & Averages MCQ

Solution

  1. Total 50 ha in ratio 11 : 9: wheat 27.5, mustard 22.5.
  2. Vimal (30 ha, 5 : 3): wheat 18.75, mustard 11.25.
  3. Rajesh: wheat 8.75, mustard 11.25, ratio 7 : 9.

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