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

The question is from CAT Ratio, Mixtures and Averages. This is different from others. What is the capcity of the vessel which contains the mixture? 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 35: A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?

1. 40 l
2. 30 l
3. 50 l
4. 36 l

Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed.

Therefore, Mixture : Methanol = 3 : 1
So, for 10 litres of methanol, 30 l of Mixture is needed. So, total capacity = (30 + 10) l = 40 l

The question is "what is the capacity of the vessel?"

Hence, the answer is "40 l".

Choice A is the correct answer.