1.2 Letter Shifting

9 views 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, ?

  1. Letter: A→B→C (+1)
  2. Number: 1→2→3 (+1)
  3. Pattern: +1 for both
  4. Next: D4
  5. Answer: D4

Parallel +2 Each

Example: A2, C4, E6, ?

  1. Letter: A→C→E (+2)
  2. Number: 2→4→6 (+2)
  3. Pattern: +2 for both
  4. Next: G8
  5. Answer: G8

Different Increments 🔄

Example: A1, C3, E5, ?

  1. Letter: A→C→E (+2)
  2. Number: 1→3→5 (+2)
  3. Pattern: +2L, +2N
  4. Next: G7
  5. Answer: G7

Reverse Pattern ⬅️

Example: Z26, Y25, X24, ?

  1. Letter: Z→Y→X (−1)
  2. Number: 26→25→24 (−1)
  3. Pattern: −1 for both
  4. Next: W23
  5. Answer: W23

Advanced Patterns 🚀

Squares Pattern

Example: A1, B4, C9, ?

  1. Letter: +1 (A, B, C, D)
  2. Number: 1², 2², 3², 4²
  3. Next: D16
  4. Answer: D16

Fibonacci Pattern

Example: A1, B1, C2, D3, E5, ?

  1. Letter: +1
  2. Number: Fibonacci (1,1,2,3,5,8)
  3. Next: F8
  4. Answer: F8

Multiplication Pattern

Example: A2, B4, C8, ?

  1. Letter: +1
  2. Number: ×2 (2, 4, 8, 16)
  3. Next: D16
  4. Answer: D16

Position-Based

Example: A1, C3, E5, ?

  1. Letter: A(1), C(3), E(5)
  2. Number matches position!
  3. Next: G(7) → G7
  4. Answer: G7

Real Exam Questions 📝

Question 1

Q: Missing: A2, ?, E10

Solution:

  1. Letter: A→?→E (skip 2: C)
  2. Number: 2→?→10 (pattern +4: 6)
  3. Answer: C6

Question 2

Q: Next: B1, D2, F3, ?

Solution:

  1. Letter: +2 (B, D, F, H)
  2. Number: +1 (1, 2, 3, 4)
  3. Answer: H4

Question 3

Q: Next: A1, C2, E4, G8, ?

Solution:

  1. Letter: +2
  2. Number: ×2 (1, 2, 4, 8, 16)
  3. Answer: I16

Question 4

Q: Missing: A1, ?, E25, G49

Solution:

  1. Letter: +2 (A, C, E, G)
  2. Number: Squares (1², 3², 5², 7²)
  3. Missing: C9 (3²=9)
  4. Answer: C9

Solving Strategy 🔍

  1. Separate letter and number: Analyze each independently
  2. Find letter pattern: Check differences (+k, −k, skip patterns)
  3. Find number pattern: Check arithmetic, geometric, or special sequences
  4. Verify consistency: Ensure pattern holds for all terms
  5. Apply to find missing: Use both patterns to determine answer
  6. 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:

  1. Level 1: Next: A1, B2, C3, ?
  2. Level 2: Next: A2, C4, E6, ?
  3. Level 3: Missing: A1, ?, E5
  4. Level 4: Next: B2, D4, F8, ?
  5. 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, ?

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