Mirror Code

Mirror Code problems involve replacing 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. These problems test your understanding of symmetrical relationships in the alphabet.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

Introduction to Mirror Code

Mirror Code problems involve replacing 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. These problems test your understanding of symmetrical relationships in the alphabet.

Prerequisites

Alphabet positions Concept of symmetry Pair identification (A-Z, B-Y, etc.) Position relationship (position1 + position2 = 27)
Why This Matters: Mirror Code problems appear in 1-2 questions in SSC CGL and Banking PO exams. They are common in coding-decoding sections.

How to Solve Mirror Code Problems

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Step 1: Identify each letter in the given word or code

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Step 2: Find the mirror pair for each letter using the rule: 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: Write the mirror letters in the same order as the original

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Step 5: For decoding, apply the same mirror rule (it is its own inverse)

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Step 6: Verify that the mirror operation is correct for all letters

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Step 7: Present the final coded or decoded word

Pro Strategy: Remember that mirror coding is an involution (applying twice returns the original). Use the formula: Mirror letter position = 27 - Original position. Practice common 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.

Example Problem

Example 1: Code the word 'CAT' using mirror coding (A↔Z, B↔Y, ...). Solution: Step 1: C (3), A (1), T (20) Step 2: Mirror positions: 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 mirror code. Solution: Step 1: X (24), Z (26), G (7) Step 2: Mirror: X: 27-24=3 → C, Z: 27-26=1 → A, G: 27-7=20 → T Step 3: Decoded word = CAT Answer: CAT

Pro Tips & Tricks

  • Memorize 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
  • Middle pairs: M(13) ↔ N(14) sum to 27
  • Mirror coding is its own inverse (self-reciprocal)
  • For quick coding, use the pattern: first becomes last, second becomes second-last
  • Vowels map to vowels? A(1)→Z(26), E(5)→V(22), I(9)→R(18), O(15)→L(12), U(21)→F(6) - not vowels

Shortcut Methods to Solve Faster

Mirror letter = letter at position (27 - original position)
A↔Z, B↔Y, C↔X (memorize these three for speed)
The word 'MIRROR' codes to 'NRILLI' (interesting pattern)

Common Mistakes to Avoid

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

Exam Importance

Mirror Code 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

Ready to Master Mirror Code?

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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