# Mixtures and Alligations CAT Questions: Concepts, Books, Download Sample Questions PDF

By BYJU'S Exam Prep

Updated on: September 13th, 2023

Mixtures and Alligations CAT Questions are asked under the Arithmetic topic of the Quantitative Ability section of the CAT. As per the past year’s trends, it has been seen that generally, 1-2 Mixtures and Alligation Questions for CAT are asked. But as CAT Authorities do not prescribe any official CAT syllabus, candidates are required to practice Mixtures and Alligations CAT Questions to score well in the exam.

The level of difficulty of Mixtures and Alligations CAT Questions is moderate-difficult. Mixtures and Alligations Question for CAT usually requires the practice of sample questions to ensure you are able to solve all kinds of questions and have a conceptual understanding of the topic. In this article, BYJU’S Exam Prep experts have mentioned all the details related to Mixtures and Alligations CAT Questions to help the candidates in their preparation.

Mixtures and Alligations CAT Questions are asked under the Arithmetic topic of the Quantitative Ability section of the CAT. As per the past year’s trends, it has been seen that generally, 1-2 Mixtures and Alligation Questions for CAT are asked. But as CAT Authorities do not prescribe any official CAT syllabus, candidates are required to practice Mixtures and Alligations CAT Questions to score well in the exam.

The level of difficulty of Mixtures and Alligations CAT Questions is moderate-difficult. Mixtures and Alligations Question for CAT usually requires the practice of sample questions to ensure you are able to solve all kinds of questions and have a conceptual understanding of the topic. In this article, BYJU’S Exam Prep experts have mentioned all the details related to Mixtures and Alligations CAT Questions to help the candidates in their preparation.

## What are CAT Mixture and Alligation Questions?

The candidates who are preparing for the upcoming exam must have a clear understanding of Mixtures and Alligations CAT Questions. As the name suggests, the mixture is the mixing of 2 or more than 2 things together. While Alligation helps us to find the ratio in which the things have been mixed.

To solve Mixture and Alligations CAT Questions, The candidates must be aware of the fact that alligation is used to determine the proportion in which the ingredients are mixed as well as to assess the mean value of a combination when the ratio and amount of the ingredients are variable. Note the below sections to know all the details related to CAT Questions on Mixture and Alligations.

## Important Formulae for Mixtures and Alligations CAT Questions

Go through the basic formula mentioned below to ensure that you understand and are able to solve CAT Mixtures and Alligations Questions in the upcoming exam.

• If M1 and M2 are the values, Q1 and Q2 are the quantities of item 1 and item 2, respectively, and MA is the weighted average of the two items, then: Q1/Q2 = (M2-MA)/(MA-M1).
• Weighted average MA can be calculated by, MA = {(Q1*M1)+(Q2*M2)}/(Q1+Q2)
• The rule which enables us to find the ratio in which two or more elements are mixed together is called alligation.

The alligation rule can be applied when a cheaper substance is mixed with a dearer substance.

• If two mixtures with the quantities M1 and M2, having substances S1 and S2 in the ratio a:b and p:q respectively, are mixed, then in the final mixture,

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• If there is a container with ‘a’ litres of liquid A and if ‘b’ litres are withdrawn, an equal amount is replaced by another liquid B, and if the operation is repeated for ‘n’ times

After nth operation,

## Mixture and Alligation CAT Questions: Sample

The candidates should practice Mixtures and Alligations Questions for CAT to ace the Quantitative Ability section of the CAT Exam. Candidates can check a few sample Mixtures and Alligations Questions for CAT given below to understand the questions that can be asked in the exam.

Question-1 Milk and water are mixed in vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

Explanation

Question-2 640 ml of a mixture contains milk and water in a ratio of 6:2. How much of the water is to be added to get a new mixture containing half milk and half water?

Question-3 A tin is a mixture of two liquids, A and B, in the proportion 4: 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2: 5. What was the initial quantity of mixture in tin?

Question-4 An alloy of copper and bronze weight 50 gm. It contains 80% Copper. How much copper should be added to the alloy, so that percentage of copper is increased to 90%?

Question-5 In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg, there is a profit of 20%?

## Mixtures and Alligations CAT Questions PDF

Generally, 1-2 questions are asked from this section; therefore, the candidates should practice Mixtures and Alligations Questions for CAT thoroughly. The candidates are advised to practice the maximum number of questions as this will give them a clear understanding of the types of Mixtures and Alligations CAT Questions asked in the exam. Candidates aspiring to take the CAT exam can refer to the below-given PDF file for CAT Mixtures and Alligations Questions:

## How to Solve CAT Mixtures and Alligations Questions?

As seen in CAT 2022, 22 questions are asked from the Quantitative Ability section. According to the past year’s trends, the candidates can expect 1-2 questions from Mixtures and Alligation CAT Questions. The candidates will get an idea about the type and number of Mixtures and Alligations Questions for CAT by practising the previous year’s CAT Question Papers and attempting mock tests. Given below are some of the tips on how to solve Mixtures and Alligations CAT Questions:

• The candidates should be clear with their basic concepts in order to solve Mixtures and Alligations CAT Questions.
• Candidates should remember a few basic ratio values as it will help them in solving the questions, as mixture questions often consist of the same ratios.
• Look for the tricks which will help the candidates solve the questions in less time.
• Candidates should remember that there is no substitute for practice and hard work. Solve CAT Previous Year’s Papers and mock tests to get acquainted with the Mixtures and Alligations CAT Questions.