Opposite Letter Coding

Opposite Letter Coding replaces each letter with its mirror image in the alphabet, where A↔Z, B↔Y, C↔X, and so on. This is also known as the Atbash cipher. The relationship is: position of mirror letter = 27 - position of original letter.

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Introduction to Opposite Letter Coding

Opposite Letter Coding replaces each letter with its mirror image in the alphabet, where A↔Z, B↔Y, C↔X, and so on. This is also known as the Atbash cipher. The relationship is: position of mirror letter = 27 - position of original letter.

Prerequisites

Alphabet positions (A=1 to Z=26) Symmetry concept Memorization of opposite pairs Formula: mirror position = 27 - original position
Why This Matters: Opposite Letter Coding appears in 1-2 questions in SSC CGL and Banking PO exams. It tests understanding of alphabetical symmetry.

How to Solve Opposite Letter Coding Problems

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Step 1: Convert the given letter to its position number (A=1, B=2, ..., Z=26)

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Step 2: Calculate mirror position = 27 - original position

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Step 3: Convert the mirror position back to a letter

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Step 4: Apply this to each letter in the word

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Step 5: For decoding, use the same formula (it is its own inverse)

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Step 6: Verify the transformation is consistent for all letters

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Step 7: Present the coded or decoded word

Pro Strategy: Memorize the mirror pairs: A-Z, B-Y, C-X, D-W, E-V, F-U, G-T, H-S, I-R, J-Q, K-P, L-O, M-N. The sum of mirror pair positions is always 27.

Example Problem

Example 1: Code 'CAT' using opposite letter coding (A↔Z, B↔Y). Solution: Step 1: C=3, A=1, T=20 Step 2: C: 27-3=24→X, A:27-1=26→Z, T:27-20=7→G Step 3: Coded word = XZG Answer: XZG Example 2: Decode 'XZG' using opposite letter coding. Solution: X=24→27-24=3→C, Z=26→27-26=1→A, G=7→27-7=20→T → CAT Answer: CAT

Pro Tips & Tricks

  • Memorize: A↔Z, B↔Y, C↔X, D↔W, E↔V, F↔U, G↔T, H↔S, I↔R, J↔Q, K↔P, L↔O, M↔N
  • The middle pair: M(13) ↔ N(14)
  • Formula: Mirror letter = letter at position (27 - original position)
  • Opposite coding is an involution (applying twice returns original)
  • Vowels map to consonants: A(1)→Z(26), E(5)→V(22), I(9)→R(18), O(15)→L(12), U(21)→F(6)
  • Common words: CAT→XZG, DOG→WLT, SUN→HFM

Shortcut Methods to Solve Faster

If original letter is at position p, mirror is at 27-p
A (1) ↔ Z (26), difference = 25
B (2) ↔ Y (25), difference = 23
The pattern: first becomes last, second becomes second-last
For quick coding, write the alphabet forward and backward and match positions

Common Mistakes to Avoid

Using 26-n instead of 27-n (off by one error)
Forgetting that opposite coding applies to each letter individually
Confusing opposite coding with reverse order of letters
Not maintaining the same letter order after coding

Exam Importance

Opposite Letter Coding is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
1-2 questions
INSURANCE
1-2 questions

Ready to Master Opposite Letter Coding?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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