Chain Rule
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Quantitative Aptitude - Chain Rule
Use chain rule to relate variables via intermediate ratios.
1. Core Concept
If A:B = x and B:C = y, then A:C = x×y.
2. Applications
- Unit conversion (e.g., cost per kg → cost per g).
- Linked averages (e.g., cost per dozen to per piece).
3. Quick Tips
- Write step-by-step ratios and cancel common terms.
- Use sequential multiplication of conversion factors.
4. Common Errors
- Reversing ratios incorrectly.
5. Revision Checklist
- Master chaining of 3+ ratios.
Summary: Multiply sequential ratios to find indirect relations; treat units as variables, cancel consistently, and simplify final ratio.
Topics
- Number System
- H.C.F. & L.C.M.
- Decimal Fractions
- Simplification
- Square Roots & Cube Roots
- Average
- Problems on Numbers
- Problems on Ages
- Surds & Indices
- Percentage
- Operations on Numbers
- Profit & Loss
- Ratio & Proportion
- Partnership
- Chain Rule
- Time & Work
- Pipes & Cistern
- Time & Distance
- Problems on Trains
- Boats & Streams
- Alligation or Mixture
- Simple Interest
- Compound Interest
- Logarithms
- Area
- Volume & Surface Areas
- Mensuration
- Races & Games of Skill
- Calendar
- Clocks
- Stocks & Shares
- Permutations & Combinations
- Probability
- True Discount
- Banker’s Discount
- Heights & Distances
- Odd Man Out & Series
- Algebra
- Divisibility Rules & Remainder Theorem
- Factorials & Power Cycles
- Progressions (A.P., G.P., H.P.)
- Work & Wages
- Set Theory / Venn Diagrams
- Geometry (Lines, Angles, Triangles, Polygons)
- Coordinate Geometry
- Data Interpretation
- Trigonometry
- Statistics (Mean, Median, Mode)
- Arithmetic Operations
- Quadratic Equations