Size/Value Ordering: Heights
Size/Value Ordering problems involve ranking people by physical attributes (height, weight, age) or other measurable quantities. Clues use comparatives like 'taller than', 'shorter than', 'heavier than', etc. These problems test transitive reasoning and ordering skills.
What You'll Learn
Introduction to Size/Value Ordering: Heights
Size/Value Ordering problems involve ranking people by physical attributes (height, weight, age) or other measurable quantities. Clues use comparatives like 'taller than', 'shorter than', 'heavier than', etc. These problems test transitive reasoning and ordering skills.
Prerequisites
How to Solve Size/Value Ordering: Heights Problems
Step 1: List all people to be ordered
Step 2: Translate clues into inequalities (e.g., 'A taller than B' → A > B)
Step 3: Build a chain from tallest to shortest using transitivity
Step 4: Place people with known extreme positions (tallest, shortest)
Step 5: Use 'between' constraints to place others
Step 6: Fill remaining positions by elimination
Step 7: Answer questions about specific ranks or comparisons
Example Problem
Example: Five people of distinct heights. A taller than B. C shorter than D but taller than E. B shorter than C. Who is the tallest? Solution: Step 1: A > B, D > C > E, C > B Step 2: Combine: D > C > B, A > B, and D > C > E Step 3: Need to place A relative to D and C Step 4: If A > D, then A is tallest; if D > A, then D is tallest Step 5: No direct comparison between A and D, so cannot determine uniquely Answer: Cannot be determined (or specific if additional clues)
Pro Tips & Tricks
- Tallest = largest value, Shortest = smallest value
- Transitive: If A > B and B > C, then A > C
- 'Between' means strictly between (not equal to endpoints)
- Use a vertical number line (top = tallest, bottom = shortest)
- If two people are not directly compared, their relative order may be ambiguous
- Distinct values mean no ties
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Size/Value Ordering: Heights. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Size/Value Ordering: Heights is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Size/Value Ordering: Heights?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: