Mixture and Alligations

In the CAT jungle, maintaining proportions is the name of the game, and Quantifiers is your go-to solution. Whether you’re preparing for competitive exams or real-life quality control scenarios, our experienced trainers will lead you through the complex mixtures and allegations scenarios, strengthening your analytical prowess. Trust Quantifiers to give you the edge in handling any quantitative challenge CAT throws your way.

Understanding Mixture and Alligations​

Mixture and Allegations might sound like the ingredients for a thrilling detective novel, but they’re a part of the exciting world of CAT Quantitative Aptitude. This topic helps you deal with various mixtures, like combining liquids with different concentrations, and allegations, which is all about solving criminal-themed problems (just kidding!). In CAT, it’s more about finding the proportion of different components in a mixture. Think of it as your CAT chemistry experiment.

Mixture and Alligations are pivotal in the Quantitative Aptitude section of the CAT exam. Here’s why:

  1. Proportion Analysis: Mixture and Allegations deal with finding the proportion of different components in a mixture. This is a fundamental skill for solving questions related to ingredients, solutions, and even population statistics.

  2. Quality Control: CAT questions in this area often mirror real-life scenarios where you need to maintain the quality of mixtures, such as in manufacturing, chemical industries, or food processing. It tests your ability to maintain proportions and make adjustments.

  3. Competitive Exams: Mixture and Allegations are not just for CAT; they’re essential for a wide range of competitive exams where analytical skills are tested. Knowing how to solve problems in this area is a valuable asset for your academic and professional journey.

  4. Complex Scenarios: Similar to Time and Work, CAT doesn’t shy away from presenting complex mixtures and allegations scenarios. It challenges your problem-solving skills and ability to work with diverse components.

Quantifiers isn’t just an institute; it’s your trusted partner in CAT success. With our engaging, supportive, and expert-driven approach, we’re here to help you master Mixture and Alligations. Join us, and let’s embark on this exciting journey together, making your CAT preparation both enjoyable and effective!

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Practice Questions for CAT with Solutions

1. CAT - Alligation and Mixtures

There is 84 liters of milk in a (x + 32) liters of mixture (milk + water) where if (x – 64) liters of mixture is replaced by 4 liters of milk, the quantity of milk will be 60% of the quantity of the resulting mixture. Find the value of ‘x’.

Correct Answer

112

2. CAT - Alligation and Mixtures

In a drum of 280 litres, water and alcohol are mixed in certain ratio, if 40 liters alcohol is added to the mixture, the ratio of water and alcohol reverses, what is the initial quantity of alcohol. (write your answer upto decimal points)

Correct Answer

130.33

3. CAT - Alligation and Mixtures

From a 25 litre solution containing wine and water in the ratio 5:8:5 liter of mixture is taken out and replaced by 10 liter of water, then 9 liter is taken out and replaced by 7 liter of wine. Finally 15 liter is drawn off and replaced by 5 liter of water. Find the wine and water ratio in the resultant mixture?

Correct Answer

23 : 49

4. CAT - Alligation and Mixtures

If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, there resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is (CAT 2021)

A. 3

B. 2.5

C. 3.5

D. 4

Correct Answer

A. 3

5. CAT - Alligation and Mixtures

There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18: 7. The mixtures from drums 1 and 2 are mixed in the ratio 3: 4 and in this final mixture, A and B are in the ratio 13: 7. What was the ratio of A & B in drum 2?

Correct Answer

239:161

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