Multi-Floor Department
Multi-Floor Department puzzles involve arranging people on different floors with two additional attributes: department and profession. These 3-layer puzzles test your ability to handle multiple interconnected attributes simultaneously. Clues include relative positional relationships, inter-layer exclusion constraints, conditional links between departments and professions, direct assignments, and cross-reference linkages.
What You'll Learn
Introduction to Multi-Floor Department
Multi-Floor Department puzzles involve arranging people on different floors with two additional attributes: department and profession. These 3-layer puzzles test your ability to handle multiple interconnected attributes simultaneously. Clues include relative positional relationships, inter-layer exclusion constraints, conditional links between departments and professions, direct assignments, and cross-reference linkages.
Prerequisites
How to Solve Multi-Floor Department Problems
Step 1: Create a table with floors as rows and attributes as columns (Person, Department, Profession)
Step 2: Place all direct assignments (e.g., 'The person in Sales lives on floor 3')
Step 3: Apply relative positional clues (e.g., 'The Manager lives immediately above the Coordinator')
Step 4: Apply inter-layer exclusion clues (e.g., 'The person in IT does not work on an even floor')
Step 5: Apply conditional linkage clues (e.g., 'Person X works in the department where the person with profession Y works')
Step 6: Use elimination to match departments and professions to floors
Step 7: Cross-reference between layers to complete the table
Step 8: Answer the specific question (e.g., designation of person on floor 4)
Example Problem
Example: Six people in six floors with departments (Sales, HR, IT, Finance, Marketing, Operations) and professions (Manager, Executive, Analyst, Coordinator, Specialist, Officer). The Manager lives immediately above the Coordinator. The person in IT does not work on an even floor. The person on floor 6 works in the department where the person with the Officer profession works on floor 1. The Marketing department works two floors above HR. The Analyst is on the same floor as the Sales department. Find the profession of the person on floor 4. Solution: Step 1: Create 6x3 table Step 2: Apply immediate above constraint: Manager and Coordinator consecutive Step 3: IT on odd floor (1,3,5) Step 4: Floor 6 person's department = department of Officer on floor 1 Step 5: Marketing = HR + 2 floors Step 6: Analyst and Sales same floor Step 7: Deduce floor 4's profession Answer: The profession on floor 4 is determined by deduction
Pro Tips & Tricks
- Create a table: Floor | Person | Department | Profession
- Each floor has exactly one person, one department, one profession
- All departments are unique, all professions are unique
- Use ✓ for assignments, ✗ for eliminations
- Start with the most restrictive clues (direct assignments, immediate above/below)
- Conditional links create dependencies between attributes
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Multi-Floor Department. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Multi-Floor Department is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Multi-Floor Department?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: