Alligations and Mixtures — Study Plan
XAT · Quantitative Ability & Data Interpretation
Step-by-step Alligations and Mixtures study plan for XAT Quantitative Ability & Data Interpretation 2026 — structured month-wise approach to mastering this chapter.
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A structured approach to studying Alligations and Mixtures for XAT Quantitative Ability & Data Interpretation.
Study Plan for Alligations and Mixtures
Day 1–2: Learn the Theory
Study the chapter thoroughly. Note down definitions, formulas, and key concepts.
Day 3: Practice Problems
Solve practice questions and previous year XAT problems. There are 54 questions available for this chapter.
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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