🔢 Input Output - Formula Sheet

🎯 Basic Concepts

Machine Operations

Input → Processing Steps → Output
Each step follows a specific pattern
Pattern must be identified to answer questions

Common Operations

1. Arrangement (ascending/descending)
2. Mathematical operations (+, -, ×, ÷)
3. Position-based changes
4. Word/number manipulations
5. Interchanging positions

📊 Pattern Types

Arrangement Patterns

Ascending numbers: 23, 45, 67, 89
Descending numbers: 89, 67, 45, 23
Alphabetical: Apple, Ball, Cat, Dog
Reverse alphabetical: Dog, Cat, Ball, Apple

Mathematical Patterns

Add constant: 5 → 7 → 9 → 11
Multiply: 2 → 4 → 8 → 16
Mixed operations: +2, ×3, +1, ×2

Position Patterns

Corner elements
Middle elements
Alternate positions
First and last exchange

🔢 Problem Structure

Typical Question Format

Input: [Series of words/numbers]
Step I: [First transformation]
Step II: [Second transformation]
...
Final Output: [Final arrangement]
Question: Find specific step/output

Question Types

1. Find intermediate step
2. Find final output
3. Find input from output
4. Identify specific element position

⚡ Solving Strategy

Step-by-Step Approach

1. Analyze input and output carefully
2. Identify the pattern by comparing steps
3. Verify pattern across all elements
4. Apply pattern to find answer
5. Double-check calculations

Pattern Identification

Look for:
- Position changes
- Value changes
- Word length patterns
- Alphabet positions
- Mathematical relationships

📝 Common Patterns

Word Arrangement

Alphabetical order
Reverse alphabetical
By word length
By first/last letter
By vowel/consonant pattern

Number Arrangement

Ascending/descending order
Even/odd separation
Prime/composite separation
Digit sum arrangement
Mathematical operations

Mixed Patterns

Numbers and words together
Different operations for each
Complex multi-step patterns

🔍 Advanced Techniques

Backward Calculation

Final Output → Step IV → Step III → Step II → Step I → Input
Work backwards when asked for input

Multiple Elements

Track positions carefully
Use notations for positions
Create position maps if needed

Complex Operations

Break into simpler parts
Identify sub-patterns
Combine operations systematically

⚡ Quick Tips

Pattern Recognition

1. Compare consecutive steps
2. Look for consistent rules
3. Check all elements
4. Verify with multiple examples

Time Management

1. Quick pattern identification
2. Systematic application
3. Skip very complex patterns initially
4. Come back if time permits

Common Mistakes to Avoid

Don't rush pattern identification
Don't miss any elements
Don't apply rules inconsistently
Don't forget to verify answers

📚 Practice Strategy

Daily Practice

1. Practice different pattern types
2. Work on speed and accuracy
3. Learn to spot patterns quickly
4. Develop systematic approach

Skill Building

Pattern recognition speed
Mental calculation ability
Logical thinking
Attention to detail

🔢 Sample Problem Structure

Example Steps

Input: 24 apple 56 banana 78 cat
Step I: apple 24 banana 56 cat 78
Step II: apple banana cat 24 56 78
Step III: apple banana cat 24 56 78

Master Input Output - Pattern identification is key! 🔢