Building Floors Ordering
Building Floors Ordering problems involve arranging persons or items on different floors of a building, using clues like 'A lives above B', 'C lives two floors below D', or 'E lives on an even-numbered floor'. These problems test vertical ordering and positional arithmetic.
What You'll Learn
Introduction to Building Floors Ordering
Building Floors Ordering problems involve arranging persons or items on different floors of a building, using clues like 'A lives above B', 'C lives two floors below D', or 'E lives on an even-numbered floor'. These problems test vertical ordering and positional arithmetic.
Prerequisites
How to Solve Building Floors Ordering Problems
Step 1: Identify total number of floors and numbering scheme (1=ground or 1=top)
Step 2: Draw a vertical line with floor numbers (bottom to top or top to bottom)
Step 3: Place fixed positions first (e.g., 'A lives on floor 5')
Step 4: Use 'above/below' clues to establish relative positions
Step 5: Use floor gap clues (e.g., 'two floors between') to calculate distances
Step 6: Use floor type clues (odd/even, prime, multiple) to eliminate possibilities
Step 7: Fill remaining floors using elimination
Step 8: Answer the specific question (who lives on which floor)
Example Problem
Example: Six persons live on 6 floors (1=ground to 6=top). A lives above B. C lives two floors below D. E lives on an even floor. F lives on floor 3. Who lives on floor 5? Solution: Step 1: Floors 1 to 6 (bottom to top) Step 2: F at floor 3 Step 3: C two floors below D → possible pairs: (C=1,D=3) but floor 3 is F, so (C=2,D=4) or (C=3,D=5) but 3 is F, or (C=4,D=6) Step 4: A above B → A floor > B floor Step 5: E on even floor → possible floors 2,4,6 Step 6: Deduction leads to D at floor 5 Answer: D lives on floor 5
Pro Tips & Tricks
- 'Above' means higher floor number, 'below' means lower floor number
- 'Two floors above' means add 2 to floor number
- 'Two floors below' means subtract 2 from floor number
- 'Floors between' = |floor1 - floor2| - 1
- Even floors: 2,4,6,...; Odd floors: 1,3,5,...
- Top floor is maximum floor number, bottom floor is minimum
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Building Floors Ordering. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Building Floors Ordering is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Building Floors Ordering?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: