Linear Single Row: Relative Positions
Linear Single Row: Relative Positions problems involve arranging a fixed number of people in a single row facing a specific direction (typically North or South). You are given clues about who sits at extreme ends, who sits adjacent to whom, and relative left-right positions. These foundational puzzles test your ability to translate verbal constraints into a complete linear arrangement.
What You'll Learn
Introduction to Linear Single Row: Relative Positions
Linear Single Row: Relative Positions problems involve arranging a fixed number of people in a single row facing a specific direction (typically North or South). You are given clues about who sits at extreme ends, who sits adjacent to whom, and relative left-right positions. These foundational puzzles test your ability to translate verbal constraints into a complete linear arrangement.
Prerequisites
How to Solve Linear Single Row: Relative Positions Problems
Step 1: Identify the total number of positions and the direction everyone is facing
Step 2: Place all directly given positions (e.g., 'A sits second from left end')
Step 3: Apply 'immediately left/right' constraints to place adjacent persons
Step 4: Use extreme end constraints to fix positions at the boundaries
Step 5: Apply relative position clues (e.g., 'X sits to the left of Y')
Step 6: Use process of elimination to fill remaining positions
Step 7: Verify that all clues are satisfied in the final arrangement
Example Problem
Example: Seven persons A-G sit in a row facing north. B sits second from left. A sits at an extreme end. E sits immediately right of F. C sits somewhere left of D. G does not sit at an extreme end. Find the arrangement. Solution: Step 1: 7 positions: 1(bottom/left) to 7(top/right) Step 2: B at position 2, A at position 1 or 7 Step 3: E immediately right of F → consecutive with E right of F Step 4: C left of D, G not at ends Step 5: Systematic placement yields: A, B, C, F, E, D, G or similar Answer: Arrangement depends on exact clues
Pro Tips & Tricks
- Draw positions 1 to N horizontally for clarity
- Mark 'leftmost' as position 1, 'rightmost' as position N
- 'Immediately left' means position difference = -1; 'immediately right' means +1
- If facing North, left of a person is their left side (not the viewer's left)
- Start with the most restrictive clue (e.g., 'sits at extreme end')
- Use a process of elimination table for complex puzzles
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Linear Single Row: Relative Positions. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Linear Single Row: Relative Positions is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Linear Single Row: Relative Positions?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: