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Alligations and Mixtures — Study Plan

CAT · Quantitative Aptitude

Step-by-step Alligations and Mixtures study plan for CAT Quantitative Aptitude 2026 — structured month-wise approach to mastering this chapter.

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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
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How to Study Alligations and Mixtures

A structured approach to studying Alligations and Mixtures for CAT Quantitative Aptitude.

Study Plan for Alligations and Mixtures

1

Day 1–2: Learn the Theory

Study the chapter thoroughly. Note down definitions, formulas, and key concepts.

2

Day 3: Practice Problems

Solve practice questions and previous year CAT problems. There are 54 questions available for this chapter.

3

Day 4: Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding.

What to Focus On

  • Weighted average is used when groups of different sizes are combined
  • Formula: Aw = (n₁A₁ + n₂A₂)/(n₁ + n₂)
  • We can work with ratios instead of actual quantities

  • Alligation formula: n₁/n₂ = (A₂ - Aw)/(Aw - A₁)
  • Cross method provides visual representation
  • Cross proportionality: differences are inversely related to weights

  • Visual representation using a number line
  • n₂ corresponds to distance (Aw - A₁)
  • n₁ corresponds to distance (A₂ - Aw)

Common Mistakes to Avoid

In alligation, the ratio n1:n2 equals the ratio of differences (A2-Aw):(Aw-A1), not the cross ratio

The weighted average formula can be used directly without considering the cross-proportionality in alligation problems

When dealing with percentages in mixtures, students can directly use the percentage values in alligation without converting to fractions

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Frequently Asked Questions

What topics are covered in Alligations and Mixtures for CAT?
Alligations and Mixtures is an important chapter in CAT Quantitative Aptitude. 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 CAT?
Alligations and Mixtures is a frequently tested chapter in CAT Quantitative Aptitude. 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 CAT?
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.

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