CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

The question is from CAT Ratio, Mixtures and Averages. It is about heads and legs of animals. This can be solved using linear equation as well. CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023.

Question 36: In Kaziranga national park, the residents are either Hippopotamus or Peacocks. When the heads are counted, it comes out to be 96 and when the legs are counted it is 336 in number. Find the number of peacocks in the park.

1. 72
2. 24
3. 48
4. 80

Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages:

Number of residents = Number of heads = 96
Average number of legs = \\frac{336}{96}\\) = \\frac{7}{2}\\)
Therefore,

Therefore,
Hippopotamus : Peacock = \\frac{3}{2}\\) : \\frac{1}{2}\\) = 3 : 1
So, number of peacocks = \\frac{1}{4}\\) * 96 = 24

The question is "Find the number of peacocks in the park."

Hence, the answer is "24".

Choice B is the correct answer.