Puzzles: Problem-Solving Framework

Types of Puzzles

Distribution

• Assigning items to categories
• Example: 5 people, 3 departments, 4 projects

Scheduling

• Time-based arrangements
• Example: 7 meetings across 5 days

Comparison

• Ranking/Ordering based on attributes
• Example: Heights, weights, ages

Selection

• Choosing subset satisfying conditions
• Example: Team formation with constraints

Solution Framework

Step 1: Create Matrix/Table

• Rows: One variable (e.g., People)
• Columns: Another variable (e.g., Days)
• Cells: Mark Yes/No or values

Step 2: Process Definite Clues

• Direct statements: "A works on Monday"
• Mark in table immediately

Step 3: Process Negative Clues

• "B doesn't work on Tuesday"
• Mark X in corresponding cell

Step 4: Use Logical Deduction

• If only one cell possible in row/column, fill it
• Eliminate impossibilities
• Chain deductions

Step 5: Handle Conditional Clues

• "If A then B" type
• Create scenarios if needed

Common Techniques

Elimination

• Cross out impossible options
• Narrow down possibilities

Case Analysis

• If uncertain, create 2-3 scenarios
• Pursue each until contradiction or solution

Working Backwards

• Start from conclusion
• Trace back to initial conditions

CAT-Specific Patterns

Blood Relations

• Draw family tree
• Mark generations clearly
• Use symbols: △ for male, ○ for female

Directions

• Draw compass or grid
• Track position after each move
• Final position = Net displacement

Coding-Decoding

• Find pattern: +1, -1, reverse, etc.
• Apply consistently

Time Management

• Scan all questions before solving
• Identify easy vs hard puzzles
• Allocate 12-15 minutes per set
• If no progress in 5 minutes, skip

Practice Strategy

• Solve 1 puzzle set daily
• Time yourself
• Review mistakes
• Identify pattern types you struggle with