Complete Averages, Mixtures & Alligations preparation for NMAT 2026, SNAP 2026 and XAT 2027 with Kavya K. Learn the concepts, formulas, shortcuts and problem-solving approaches required to solve questions on averages, mixtures and alligation.
Averages, Mixtures & Alligations is an important topic in Arithmetic under Quantitative Aptitude and is relevant for students preparing for NMAT 2026, SNAP 2026 and XAT 2027.
This One Shot class with Kavya K provides comprehensive preparation for Averages, Mixtures & Alligations, bringing together the key concepts, formulas, methods and problem-solving approaches required for questions from this topic.
The session is part of GRADSKOOL's complete preparation program for NMAT 2026, SNAP 2026 and XAT 2027.
This One Shot covers:
• Averages
• Weighted Averages
• Average-based calculations
• Mixtures
• Alligation
• Alligation method
• Ratio-based mixture problems
• Applications of averages and mixtures
• Problem-solving techniques for Averages, Mixtures & Alligations
The concept of average is used to represent a set of quantities through a single representative value.
Students need to understand the relationship between:
• Average
• Number of items
• Total sum
The standard relationship is:
Average = Sum of observations / Number of observations
A strong understanding of this relationship helps solve questions involving changes in the number of observations, addition or removal of values, replacement of values and comparison of averages.
Weighted averages are used when different groups or quantities have different importance or frequencies.
Understanding weighted averages is useful in problems involving:
• Groups with different numbers of items
• Different quantities contributing to an overall average
• Combined averages
• Multiple groups or sets
• Different weights or proportions
Students should be able to identify when a simple average is insufficient and a weighted approach is required.
When two or more groups are combined, the overall average depends on both the averages of the individual groups and the number of observations in each group.
Combined-average questions can involve:
• Two groups
• Multiple groups
• Addition of a new group
• Removal of a group
• Change in group size
• Comparison of group averages
Understanding the relationship between total sum, number of observations and average makes these questions easier to solve.
Mixture questions involve combining two or more quantities having different characteristics, values or concentrations.
Mixture problems can involve:
• Different quantities
• Different prices
• Different concentrations
• Different compositions
• Combining two or more components
• Finding the resulting average value or concentration
The key is to understand how the individual components contribute to the final mixture.
Alligation is a useful technique for solving problems involving the mixing of two quantities with different values to obtain a mixture having a desired mean value.
The alligation method can help determine the required ratio in which two components should be mixed.
A typical alligation setup compares:
Higher value
\
Mean
/
Lower value
The required ratio can then be obtained using the differences between the component values and the mean.
Alligation can be applied to problems involving:
• Mixtures
• Different prices
• Different concentrations
• Different qualities
• Cost of mixtures
• Required mixing ratios
• Replacement and dilution-type situations
Students should learn to recognise when the alligation method can provide a faster solution than a conventional equation-based approach.
For Averages, Mixtures & Alligations questions, students should focus on identifying the underlying relationship rather than memorising isolated formulas.
A systematic approach involves:
1. Identify what the average or mean represents.
2. Determine the relevant quantities and their values.
3. Convert the information into totals, ratios or differences where appropriate.
4. Identify whether a simple average, weighted average, mixture approach or alligation method is required.
5. Apply the most efficient method.
6. Check whether the final value or ratio satisfies the conditions of the question.
For competitive examinations such as NMAT, SNAP and XAT, efficient calculation can be important.
This topic provides opportunities to use:
• Average-based shortcuts
• Weighted-average methods
• Ratio-based approaches
• Alligation
• Difference-based reasoning
• Elimination
• Logical estimation where applicable
Students should focus on recognising the structure of a question so that they can select the fastest appropriate method.
This One Shot is designed to help students:
• Understand the concept of averages
• Solve average-based problems
• Handle weighted and combined averages
• Understand mixture problems
• Apply alligation
• Determine mixing ratios
• Solve application-based questions
• Improve calculation efficiency
• Recognise shortcuts and alternative approaches
• Prepare for Averages, Mixtures & Alligations questions in MBA entrance examinations
This class is relevant to:
• NMAT 2026
• SNAP 2026
• XAT 2027
Averages, Mixtures & Alligations is covered as part of Quantitative Aptitude and Arithmetic preparation for these examinations.
This class is useful for:
• Students preparing for NMAT 2026
• Students preparing for SNAP 2026
• Students preparing for XAT 2027
• Students studying Arithmetic for MBA entrance examinations
• Students looking for a complete revision of Averages
• Students preparing Mixtures and Alligation
• Students looking for shortcuts for average and mixture questions
• Students who want to improve their quantitative problem-solving speed
Students looking for preparation related to the following can use this class:
• Averages for NMAT
• Averages for SNAP
• Averages for XAT
• Mixtures and Alligation for NMAT
• Mixtures and Alligation for SNAP
• Mixtures and Alligation for XAT
• Averages Questions
• Mixtures Questions
• Alligation Questions
• Average Questions for MBA Exams
• Weighted Average
• Combined Average
• Alligation Method
• Mixture Problems
• Mixtures and Alligations Tricks
• Averages Shortcuts
• Quantitative Aptitude Arithmetic
• NMAT Quantitative Skills
• SNAP Quantitative Aptitude
• XAT Quantitative Ability
This is Lesson 14 of GRADSKOOL's complete preparation series.
The lesson covers Averages, Mixtures & Alligations under Arithmetic and Quantitative Aptitude and is conducted by Kavya K.
Students preparing for NMAT 2026, SNAP 2026 and XAT 2027 can use this One Shot to build or revise their understanding of averages, weighted averages, mixtures and alligation and strengthen their preparation for the Quantitative Aptitude section.
Q. What does this class cover?
This One Shot covers Averages, Mixtures & Alligations under Quantitative Aptitude and Arithmetic.
Q. Who is taking the class?
The class is conducted by Kavya K.
Q. Which exams is this class relevant for?
This class is relevant for NMAT 2026, SNAP 2026 and XAT 2027.
Q. What is an average?
An average is the total sum of observations divided by the number of observations.
Q. What is a weighted average?
A weighted average takes into account the different weights or quantities associated with different values.
Q. What is a combined average?
A combined average is the overall average obtained when two or more groups are considered together.
Q. What is a mixture?
A mixture is formed when two or more components with different values, prices, concentrations or characteristics are combined.
Q. What is alligation?
Alligation is a method used to determine the ratio in which two components with different values can be mixed to obtain a desired mean value.
Q. Why is alligation useful?
Alligation can provide a quick ratio-based method for solving many mixture and weighted-average problems.
Q. Is Averages, Mixtures & Alligations relevant for NMAT 2026?
Yes. This class is part of the NMAT 2026 Quantitative Aptitude preparation.
Q. Is Averages, Mixtures & Alligations relevant for SNAP 2026?
Yes. This class is part of the SNAP 2026 Quantitative Aptitude preparation.
Q. Is Averages, Mixtures & Alligations relevant for XAT 2027?
Yes. This class is part of the XAT 2027 Quantitative Aptitude preparation.