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Constrained Floor Puzzle: Multiple Restrictions

Constrained Floor Puzzles involve multiple types of restrictions simultaneously: direct floor assignments, immediate above/below, gap constraints, even/odd floors, negative constraints (does not live on), and comparative statements. These puzzles test your ability to handle diverse constraint types and use systematic elimination.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Constrained Floor Puzzle: Multiple Restrictions

Constrained Floor Puzzles involve multiple types of restrictions simultaneously: direct floor assignments, immediate above/below, gap constraints, even/odd floors, negative constraints (does not live on), and comparative statements. These puzzles test your ability to handle diverse constraint types and use systematic elimination.

Prerequisites

All basic floor puzzle concepts Constraint satisfaction with multiple types Systematic elimination Process of deduction
Why This Matters: Constrained Floor Puzzles appear in 1-2 questions in Banking PO and SSC CGL exams. They test integration of multiple constraint types.

How to Solve Constrained Floor Puzzle: Multiple Restrictions Problems

1

Step 1: Draw floors 1 to N vertically

2

Step 2: Place all direct floor assignments

3

Step 3: Apply immediate above/below constraints for consecutive placements

4

Step 4: Apply gap constraints ('exactly k floors between')

5

Step 5: Apply even/odd floor constraints to eliminate possibilities

6

Step 6: Apply negative constraints ('does not live on floor X') to eliminate

7

Step 7: Apply simple above/below constraints for ordering

8

Step 8: Use elimination to fill remaining floors uniquely

Pro Strategy: Start with direct assignments. Apply restrictive constraints (immediate, gap) next. Use even/odd and negative constraints as filters. Use elimination to place remaining persons. Track all constraints simultaneously.

Example Problem

Example: 6 floors (1-6). A on floor 3. B immediately above C. D on even floor. E not on floor 1. Exactly one floor between F and G. Find arrangement. Solution: Step 1: Draw floors 1-6 Step 2: A at 3 Step 3: B immediately above C → consecutive, B above C Step 4: D on even (2,4,6) Step 5: E not 1 Step 6: Exactly one floor between F and G → |F-G| = 2 Step 7: Eliminate possibilities to find unique arrangement Answer: Complete arrangement determined

Pro Tips & Tricks

  • Prioritize constraints that have the fewest possible placements
  • Direct assignments are the most restrictive
  • Immediate above/below reduces possibilities significantly
  • Gap constraints limit possible pairs
  • Even/odd constraints eliminate half the floors
  • Negative constraints eliminate specific floors

Shortcut Methods to Solve Faster

If a person has many constraints, start with that person
If a floor has many restrictions, deduce who must be there
List possible positions for each person before solving
Eliminate impossible positions systematically

Common Mistakes to Avoid

Applying constraints in the wrong order
Not using all given constraints
Forgetting to update possibilities after each deduction
Assuming a person can be placed without checking all constraints

Exam Importance

Constrained Floor Puzzle: Multiple Restrictions is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
0-1 questions
INSURANCE
1-2 questions

Ready to Master Constrained Floor Puzzle: Multiple Restrictions?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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