Input-Output (Machine Input-Output) - Theory & Concepts
đĨī¸ Input-Output (Machine Input-Output) - Complete Theory
Master machine logic - the pattern recognition reasoning topic!
đ¯ What is Input-Output?
Input-Output (also called Machine Input-Output) tests your ability to:
- Identify sequential transformation patterns
- Track how words/numbers rearrange step-by-step
- Predict intermediate and final steps
Example:
Input: cat 45 dog 12 bird 78
Step 1: 12 cat 45 dog bird 78
Step 2: 12 bird cat 45 dog 78
Step 3: 12 bird 45 cat dog 78
(Pattern: Numbers arranged ascending, words arranged alphabetically, alternating)
Key Concept: A “machine” rearranges input following a FIXED RULE. You find the rule and apply it!
đ Types of Input-Output Patterns
1. Word Arrangement (Alphabetical)
2. Number Arrangement (Ascending/Descending)
3. Mixed Arrangement (Words + Numbers)
4. Mathematical Operations
5. Positional Shifting
6. Reversal Patterns
đ¤ Common Patterns
Pattern 1: Alphabetical Arrangement
Rule: Words arranged in alphabetical order, one word per step
Example:
Input: dog cat bird elephant
Step 1: bird dog cat elephant (bird moved to start - alphabetically first)
Step 2: bird cat dog elephant (cat moved next)
Step 3: bird cat dog elephant (already sorted)
Final: bird cat dog elephant
Movement: One word moves to its correct position per step
Pattern 2: Number Arrangement (Ascending)
Rule: Numbers arranged in ascending order, one number per step
Example:
Input: 45 12 78 23
Step 1: 12 45 78 23 (smallest 12 moved to start)
Step 2: 12 23 45 78 (next smallest 23 moved)
Step 3: 12 23 45 78 (already sorted)
Final: 12 23 45 78
Pattern 3: Alternating Word-Number
Rule: Alternately arrange smallest number, then alphabetically first word
Example:
Input: cat 45 dog 12 bird 78
Step 1: 12 cat 45 dog bird 78 (smallest number first)
Step 2: 12 bird cat 45 dog 78 (alphabetically first remaining word)
Step 3: 12 bird 45 cat dog 78 (next smallest number)
Step 4: 12 bird 45 cat 78 dog (next alphabetical word)
Step 5: 12 bird 45 cat 78 dog (already done)
Final: 12 bird 45 cat 78 dog
Pattern: number, word, number, word, number, word
Pattern 4: Simultaneous Arrangement
Rule: In each step, smallest number to left, largest to right
Example:
Input: 45 12 78 23
Step 1: 12 45 23 78 (12 to left, 78 to right)
Step 2: 12 23 45 78 (23 to left of remaining, 45 stays)
Step 3: 12 23 45 78 (sorted)
Pattern 5: Word Length Based
Rule: Arrange by number of letters (ascending/descending)
Example:
Input: elephant cat bird dog
Step 1: cat elephant bird dog (3-letter word first)
Step 2: cat dog elephant bird (3, 3, then 4)
Step 3: cat dog bird elephant (3, 3, 4, then 8)
Pattern: Shortest word first
Pattern 6: Reverse Alphabetical
Rule: Arrange in reverse alphabetical order (Z to A)
Example:
Input: apple mango banana
Step 1: mango apple banana (M first in reverse)
Step 2: mango banana apple (B before A in reverse)
Final: mango banana apple
đĄ Solved Examples
Example 1: Basic Alphabetical
Q:
Input: rose lily tulip daisy
What will be Step 2?
Solution:
Step 1: Identify pattern
Alphabetical order: daisy, lily, rose, tulip
Assume pattern: One word per step to correct position
Step 2: Apply pattern
Input: rose lily tulip daisy
Step 1: daisy rose lily tulip (daisy moved to first - alphabetically first)
Step 2: daisy lily rose tulip (lily moved to second position)
Answer: daisy lily rose tulip
Example 2: Number Arrangement
Q:
Input: 89 34 67 12 45
Step 1: 12 89 34 67 45
Step 2: 12 34 89 67 45
Step 3: ?
Solution:
Step 1: Identify pattern
Step 1: 12 moved to start (smallest)
Step 2: 34 moved to second (next smallest)
Pattern: Arranging in ascending order, one per step
Step 2: Find next
Remaining to arrange: 89, 67, 45
Next smallest = 45
Step 3: 12 34 45 89 67
Answer: 12 34 45 89 67
Example 3: Mixed Word-Number
Q:
Input: play 58 hand 32 over 91
Step 1: 32 play 58 hand over 91
Step 2: 32 hand play 58 over 91
Step 3: ?
Solution:
Step 1: Identify pattern
Input: play 58 hand 32 over 91
Step 1: 32 first (smallest number)
Step 2: hand next (alphabetically first word: hand < over < play)
Pattern: Alternating - number (ascending), word (alphabetical)
Step 2: Apply pattern
Step 3: Next is a number
Remaining numbers: 58, 91
Next smallest = 58
Step 3: 32 hand 58 play over 91
Answer: 32 hand 58 play over 91
Example 4: Simultaneous Movement
Q:
Input: 56 23 89 12 45
Step 1: 12 23 89 56 45
Step 2: ?
Solution:
Step 1: Analyze movement
Input: 56 23 89 12 45
Step 1: 12 23 89 56 45
What changed?
- 12 moved to position 1 (smallest)
- 23 stayed at position 2
- 89 stayed
- 56 and 45 shifted
Looks like: Smallest to left, keep moving
Step 2: Continue pattern
Step 1: 12 23 89 56 45
Now arrange remaining: 89, 56, 45
Next smallest from remaining = 45
Step 2: 12 23 45 89 56 OR 12 23 45 56 89?
Check if fully sorted or step-by-step:
If step-by-step: 12 23 45 89 56 (45 moved up)
Answer: 12 23 45 89 56 (if one element per step) OR 12 23 45 56 89 (if multiple movements allowed)
Example 5: Word Length Pattern
Q:
Input: train bus car bicycle
What is the final output if arranged by word length (shortest first)?
Solution:
Step 1: Count letters
train: 5 letters
bus: 3 letters
car: 3 letters
bicycle: 7 letters
Step 2: Arrange by length
Shortest first: 3, 3, 5, 7
bus (3)
car (3)
train (5)
bicycle (7)
Final: bus car train bicycle
Answer: bus car train bicycle
Example 6: Reverse Order
Q:
Input: 12 45 23 78 34
Step 1: 78 45 23 12 34
Step 2: 78 45 34 12 23
Step 3: ?
Solution:
Step 1: Identify pattern
Input: 12 45 23 78 34
Step 1: 78 ... (largest moved to first)
Step 2: 78 45 ... (next largest kept/moved)
Pattern: Descending order (largest to smallest)
Step 2: Continue
Sorted descending: 78, 45, 34, 23, 12
Step 1: 78 moved to first
Step 2: 45 at second, 34 moved up
Step 3: Continue arranging
Step 3: 78 45 34 23 12 (fully sorted descending)
Answer: 78 45 34 23 12
⥠Quick Pattern Recognition Tips
Tip 1: Check First Step Carefully
First step reveals the core pattern:
- If smallest number moves â Ascending order
- If largest number moves â Descending order
- If alphabetically first word moves â Alphabetical order
Tip 2: Count Elements
If input has 5 elements and question asks for "Step 4":
Usually 4-5 steps needed for complete sorting
Tip 3: Alternating Pattern Recognition
If Step 1 moves a number, Step 2 moves a word:
Pattern is alternating word-number
Tip 4: Look for Unchanged Elements
Elements that don't move are already in correct position
Focus on elements that move!
â ī¸ Common Mistakes
â Mistake 1: Assuming Complete Sort in One Step
Wrong: Input â Fully sorted in Step 1 â
Right: Usually one or two elements move per step â
â Mistake 2: Ignoring Intermediate Steps
Wrong: Jumping from Input directly to final â
Right: Track each step carefully â
â Mistake 3: Missing the Pattern Type
Wrong: Assuming always ascending order â
Right: Check if ascending, descending, alphabetical, or mixed â
â Mistake 4: Not Counting Steps
Wrong: "Step 3" means 3rd from final â
Right: "Step 3" means after 3 transformations from Input â
đ Pattern Summary Table
Pattern Type | Rule | Example |
---|---|---|
Ascending Numbers | Smallest â Largest | 12 23 45 78 |
Descending Numbers | Largest â Smallest | 78 45 23 12 |
Alphabetical Words | A â Z | apple banana cherry |
Reverse Alphabetical | Z â A | zebra mango apple |
Word Length | Shortest â Longest | cat bird elephant |
Alternating | Number, Word, Number… | 12 cat 45 dog 78 |
đ Practice Problems
Level 1: Basic
1.
Input: 45 12 78 23
Step 1: 12 45 78 23
Step 2: ?
2.
Input: dog cat bird elephant
What will be Step 1?
3.
Input: 67 23 89 12
If pattern is descending, what is final output?
Level 2: Medium
4.
Input: run 45 sit 12 walk 78
Step 1: 12 run 45 sit walk 78
Step 2: 12 run 45 sit 78 walk
Step 3: ?
5.
Input: tall boy runs fast here
Step 1: boy tall runs fast here
Step 2: boy fast tall runs here
Step 3: ?
Find the pattern.
Level 3: Hard
6.
Input: 15 pen 82 desk 43 book 67
Step 1: 15 book pen 82 desk 43 67
Step 2: 15 book 43 pen 82 desk 67
Step 3: ?
What is Step 5?
7.
Input: apple 23 mango 67 cherry 12 banana 45
Given that numbers are arranged ascending and words alphabetical alternately,
how many steps to reach final output?
đ¯ Exam Strategy
Time Management:
- Per question (finding one step): 45-60 seconds
- For 5 input-output questions: 4-5 minutes
Quick Approach:
- Identify pattern from Step 1 (15 sec)
- Verify pattern with Step 2 (10 sec)
- Apply to find required step (20 sec)
- Verify answer (10 sec)
Priority:
- â Simple number/word sorting - 40 sec
- â Alternating patterns - 50 sec
- âī¸ Complex multi-rule patterns - 75+ sec
đ Related Topics
Uses Concepts From:
- Number Series - Pattern recognition
- Coding-Decoding - Rule identification
- Alphabetical ordering
Related Reasoning Topics:
- Alphanumeric Series - Mixed sequences
- Logical sequencing
Practice:
đ¯ Continue Your Learning Journey
Master Input-Output - Find the pattern, track each step! đĨī¸