Inequality Parameter Deduction
Inequality Parameter Deduction problems combine weight comparisons with numerical weight values (e.g., weights from a given set). You must deduce exact weights of boxes using inequalities and the stacking rule (heavier below lighter).
What You'll Learn
Introduction to Inequality Parameter Deduction
Inequality Parameter Deduction problems combine weight comparisons with numerical weight values (e.g., weights from a given set). You must deduce exact weights of boxes using inequalities and the stacking rule (heavier below lighter).
Prerequisites
How to Solve Inequality Parameter Deduction Problems
Step 1: List all boxes and possible weights (given set)
Step 2: Build inequality chain from weight comparisons
Step 3: Apply stacking rule: heavier at bottom, lighter at top
Step 4: Use numerical constraints (e.g., 'weight less than 50kg')
Step 5: Match weights to boxes using elimination
Step 6: Answer the specific question (weight of a box)
Example Problem
Example: Boxes K-O stacked (positions 1-5). Weights from {15,25,35,45,55}kg. Heavier below lighter. O at bottom, K at top. N > M but N < 50kg. Box above M has weight <30kg. L=25kg. Find N's weight. Solution: Step 1: O heaviest (55), K lightest (15) Step 2: L=25 → L at position 4 (second lightest) Step 3: Remaining weights: 35,45 for M,N Step 4: N > M → N=45, M=35 Step 5: Check: N<50 (45<50 ✓), above M (position 3) is L(25)<30 ✓ Step 6: N=45kg Answer: 45kg
Pro Tips & Tricks
- Sort the weight set in ascending order
- Heaviest weight = bottom position
- Lightest weight = top position
- Use inequalities to determine relative positions in weight order
- Numerical constraints (e.g., <50) eliminate heavier weights
- If a weight is given (e.g., L=25), that box is fixed to that weight
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Inequality Parameter Deduction. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Inequality Parameter Deduction is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Inequality Parameter Deduction?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: