Skip to main content
Super TutorResources
Chapter 4 of 19
SyllabusNotesTopicsQuestionsPlanFormulas
Revision Notes

Alligations and Mixtures — Revision Notes

XAT · Quantitative Ability & Data Interpretation

Free Alligations and Mixtures revision notes for XAT Quantitative Ability & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.

Interactive on Super Tutor

Studying Alligations and Mixtures? Get the full chapter — free.

Practice questions, revision notes, formula sheet and AI doubt-solver — built for XAT Quantitative Ability & Data Interpretation.

Try Super Tutor — Free
An infographic explaining the weighted average formula for k groups, showing how individual group averages (A1, A2, ..., Ak) and their respective element counts (n1, n2, ..., nk) combine to form the o
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started

Revision Notes — Alligations and Mixtures

Key concepts, formulas, and definitions from Alligations and Mixtures for XAT Quantitative Ability & Data Interpretation preparation.

Key Topics to Revise

1

Foundation Concepts and Theory

  • Alligation is a visual method to solve weighted average problems when exactly two groups are involved
  • It uses cross-proportionality between differences of averages and weights
  • The basic principle: n1/n2 = (A2 - Aw)/(Aw - A1), where A1 < Aw < A2
2

Methods of Solution

  • Cross Method: Traditional approach using cross multiplication
  • Straight Line Method: Visual representation on a number line
  • Number line shows A1, Aw, A2 from left to right
3

Three Standard Problem Types

  • Case 1: Find weighted average (Aw) when A1, A2, n1, n2 are known
  • Case 2: Find ratio (n1:n2) when A1, A2, Aw are known
  • Case 3: Find unknown average (A2) when A1, Aw, n1, n2 are known
4

Mixture Problems and Applications

  • Mixture problems involve combining liquids, solids, or solutions
  • Convert ratios to percentages when suitable for easier calculation
  • Some problems require maintaining fractional form throughout

Get complete revision notes with diagrams and examples — continue in Super Tutor

Key Concepts

The core equation n₁/n₂ = (A₂A visual technique where the differencesA number line approach where A₁Type 1Real

Frequently Asked Questions

What topics are covered in Alligations and Mixtures for XAT?
Alligations and Mixtures is an important chapter in XAT Quantitative Ability & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Foundation Concepts and Theory, Methods of Solution, Three Standard Problem Types, Mixture Problems and Applications.
How important is Alligations and Mixtures for XAT?
Alligations and Mixtures is a frequently tested chapter in XAT Quantitative Ability & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 54 practice questions available for this chapter.
How to prepare Alligations and Mixtures for XAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

More resources for Alligations and Mixtures

All 19 chapters — XAT Quantitative Ability & Data Interpretation Revision Notes

For XAT aspirants

Get the full Alligations and Mixtures chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for XAT Quantitative Ability & Data Interpretation.

Try Super Tutor Free
Try the full chapter — Free