1.2 Letter Shifting
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Chapter 01: Alphabet & Number Test
Alpha-Numeric Series Tutorial 🔤🔢✅
Master mixed letter-number patterns, alternating sequences, combined progressions & missing term identification. Perfect for competitive exams! 🚀
What You'll Learn 🎯
- Solve combined letter-number sequences 🔤🔢
- Identify alternating patterns in mixed series 🔄
- Handle parallel progressions (letter AND number) ⚡
- Find missing terms in complex sequences 🔍
- Master advanced mixed pattern recognition 🧩
Core Concepts 📌
- Simple Pattern: Both letter and number follow same rule (e.g., A1, B2, C3 → +1 each)
- Parallel Pattern: Letter and number follow different rules (e.g., A2, C4, E6 → +2L, +2N)
- Alternating Pattern: Pattern changes between terms
- Complex Pattern: Multiple rules applied simultaneously
- Position-Based: Letter positions used in number calculations
Pattern Types with Examples 🧪
Simple +1 Each ➕
Example: A1, B2, C3, ?
- Letter: A→B→C (+1)
- Number: 1→2→3 (+1)
- Pattern: +1 for both
- Next: D4
- Answer: D4
Parallel +2 Each ⚡
Example: A2, C4, E6, ?
- Letter: A→C→E (+2)
- Number: 2→4→6 (+2)
- Pattern: +2 for both
- Next: G8
- Answer: G8
Different Increments 🔄
Example: A1, C3, E5, ?
- Letter: A→C→E (+2)
- Number: 1→3→5 (+2)
- Pattern: +2L, +2N
- Next: G7
- Answer: G7
Reverse Pattern ⬅️
Example: Z26, Y25, X24, ?
- Letter: Z→Y→X (−1)
- Number: 26→25→24 (−1)
- Pattern: −1 for both
- Next: W23
- Answer: W23
Advanced Patterns 🚀
Squares Pattern
Example: A1, B4, C9, ?
- Letter: +1 (A, B, C, D)
- Number: 1², 2², 3², 4²
- Next: D16
- Answer: D16
Fibonacci Pattern
Example: A1, B1, C2, D3, E5, ?
- Letter: +1
- Number: Fibonacci (1,1,2,3,5,8)
- Next: F8
- Answer: F8
Multiplication Pattern
Example: A2, B4, C8, ?
- Letter: +1
- Number: ×2 (2, 4, 8, 16)
- Next: D16
- Answer: D16
Position-Based
Example: A1, C3, E5, ?
- Letter: A(1), C(3), E(5)
- Number matches position!
- Next: G(7) → G7
- Answer: G7
Real Exam Questions 📝
Question 1
Q: Missing: A2, ?, E10
Solution:
- Letter: A→?→E (skip 2: C)
- Number: 2→?→10 (pattern +4: 6)
- Answer: C6
Question 2
Q: Next: B1, D2, F3, ?
Solution:
- Letter: +2 (B, D, F, H)
- Number: +1 (1, 2, 3, 4)
- Answer: H4
Question 3
Q: Next: A1, C2, E4, G8, ?
Solution:
- Letter: +2
- Number: ×2 (1, 2, 4, 8, 16)
- Answer: I16
Question 4
Q: Missing: A1, ?, E25, G49
Solution:
- Letter: +2 (A, C, E, G)
- Number: Squares (1², 3², 5², 7²)
- Missing: C9 (3²=9)
- Answer: C9
Solving Strategy 🔍
- Separate letter and number: Analyze each independently
- Find letter pattern: Check differences (+k, −k, skip patterns)
- Find number pattern: Check arithmetic, geometric, or special sequences
- Verify consistency: Ensure pattern holds for all terms
- Apply to find missing: Use both patterns to determine answer
- Double-check: Verify answer fits the sequence
Common Pattern Combinations 🧩
Letter +1, Number +1
A1, B2, C3, D4, E5...
Simplest pattern
Letter +2, Number +2
A2, C4, E6, G8, I10...
Skip one letter
Letter +1, Number ×2
A2, B4, C8, D16, E32...
Exponential growth
Letter +2, Number Squares
A1, C4, E9, G16, I25...
Perfect squares
Speed Techniques ⚡
- Separate immediately: Always split letter and number first
- Check simple patterns first: +1, +2, −1, −2
- Look for special sequences: Squares, cubes, Fibonacci
- Use letter positions: Convert letters to numbers if needed
- Practice recognition: Build mental library of common patterns
- Verify quickly: Check if pattern holds for all terms
Practice Challenge 🎮
Try these progressively harder problems:
- Level 1: Next: A1, B2, C3, ?
- Level 2: Next: A2, C4, E6, ?
- Level 3: Missing: A1, ?, E5
- Level 4: Next: B2, D4, F8, ?
- Level 5: Missing: A1, ?, E25, G49
Answers: 1) D4 2) G8 3) C3 4) H16 5) C9
Common Mistakes to Avoid ⚠️
- Not separating: Always analyze letter and number independently
- Assuming same pattern: Letter and number can have different rules
- Missing special sequences: Check for squares, cubes, Fibonacci
- Calculation errors: Double-check arithmetic
- Not verifying: Always check answer fits the pattern
- Ignoring position values: Sometimes letter position equals number
Practice Problems by Difficulty 📝
Easy 🟢
- Next: A1, B2, C3, ?
- Next: M10, N11, O12, ?
- Next: Z26, Y25, X24, ?
- Missing: A2, ?, E10
- Next: A1, A2, A3, ?
Medium 🟡
- Next: A2, C4, E6, ?
- Next: B4, D8, F12, ?
- Missing: A1, C3, ?, G7
- Next: A3, C6, E9, ?
- Next: B5, D10, F15, ?
Hard 🔴
- Missing: A2, ?, C8, ?, E32
- Next: A1, C2, E4, G8, ?
- Missing: A1, ?, E25, G49
- Next: B2, D4, F8, H16, ?
- Pattern: A1, B1, C2, D3, E5, ?
Ready to Practice? 🎯
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