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

CAT Questions

The question is from CAT Ratio, Mixtures and Averages. It is about an interesting game which played by three friends in a pub. 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 9: 1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol. If x, y are integers and x > y, how many values can x take?

1. 19
2. 20
3. 21
4. 13

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: A ratio proportion question that involves using a simple framework from number systems.

To start with x > y => x > 60 > y.
(x – 60) = 3(60 – y).
60 – y is an integer => x – 60 has to be a multiple of 3.
x can take values {63, 66, 69 ….. 99}– A total of 13 values.
Answer choice (D)

Correct Answer: 13

The question is "1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol. If x, y are integers and x > y, how many values can x take?"

Hence, the answer is "13".

Choice D is the correct answer.