Competitive Exams / Logical Reasoning / Coding-Decoding

Coding-Decoding for CUET & JEE

Master alphabet anchors, reverse pairs, substitution coding, message comparison, and matrix logic with notes and timed practice for top competitive exams.

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Overview

Why This Chapter Matters in Competitive Exams

Coding-decoding is a high-scoring topic in logical reasoning because the same pattern families repeat across exams. Once you recognize the pattern type, the answer usually follows quickly.

The real skill is not memorizing random codes. It is identifying whether the question is a shift, reverse, opposite-letter, substitution, message, or matrix problem within the first few seconds.

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Section A

Notes & Concept Builder

Pattern first, arithmetic second

1. Alphabet Anchors and EJOTY

Coding-decoding becomes faster when alphabet positions stop feeling random. The most useful memory anchors are E=5, J=10, O=15, T=20, Y=25.

EJOTY rule: jump from the nearest anchor instead of recounting from A every time.

Example: Q is two letters after O, so its position is 17. L is two after J, so its position is 12.

2. Reverse Alphabet and Opposite Pairs

Many exam questions hide mirror coding. In opposite-letter coding, A pairs with Z, B with Y, C with X, and so on.

Shortcut: opposite-letter pairs always add up to 27 in normal positions.

So if a letter has position 4, its opposite has position 23. That makes reverse-position questions much quicker.

3. Direct and Alternating Letter Coding

Letter coding usually uses one of three moves: every letter shifts by the same amount, odd and even places shift differently, or the word is reversed before shifting.

Constraint-first habit: test the first two letters first. They usually reveal whether the pattern is direct, alternating, or reversed.

Do not decode the whole word if one option already breaks the pattern at the first or second letter.

4. Number and Symbol Coding

When a word turns into one number, a common rule is the sum of alphabet positions. When a number turns into letters or symbols, it is often direct digit substitution.

First question to ask: is the code one-to-one or based on an operation?

If each digit always becomes the same symbol, it is direct mapping. If the whole word becomes one number, add, subtract, or compare positions.

5. Substitution Coding

Substitution coding tests whether you can separate real meaning from coded labels. If pen is called notebook, the answer must follow the coded language, not real-life naming.

Scratch trick: write two columns: actual word and called word.

That simple table removes most confusion in these questions.

6. Message Coding by Comparison

In sentence coding, repeated words must match repeated code tokens. Compare the statements pairwise and mark the common words first.

Never guess first: repeated word → repeated code. Eliminate what is fixed and the target code usually reveals itself.

This is one of the highest-scoring logical reasoning patterns because it rewards clean comparison more than memory.

7. Matrix and Coordinate Coding

Matrix coding converts each letter into a row-column coordinate. The best way to solve these questions is to read row first and then column, keeping the original letter order unless the question tells you to reverse it.

Mini-grid idea: treat the matrix like a map. One letter, one coordinate, then join them in sequence.

Once the grid is understood, these become among the most mechanical questions in the chapter.

8. Exam Strategy for CUET & JEE

The fastest students don't memorize hundreds of codes. They identify the question's family in the first few seconds: shift, reverse, opposite, substitution, message, or matrix.

Practice order: alphabet anchors → reverse pairs → letter shifts → substitution → message coding → matrix coding → mixed mock.

That sequence builds both speed and accuracy for the exam.

Solved Practice

Solved Examples

Predict the rule before expanding
Example 1: If DELHI is coded as CFKIH using the pattern -1, +1 alternately, how is MUMBAI coded?

Apply the same alternating shifts to each letter of MUMBAI.

MLM\to L, UVU\to V, MLM\to L, BCB\to C, AZA\to Z, IJI\to J.

The code is LVLCZJ.

Example 2: A word is first reversed and then each letter is moved one step forward. If INDIA becomes BJEOJ, how is TRACK coded?

Reverse TRACK to get KCART.

Now move every letter one step forward: KLK\to L, CDC\to D, ABA\to B, RSR\to S, TUT\to U.

The code is LDBSU.

Example 3: What is the alphabet position of Q using the EJOTY shortcut?

Use the nearest anchor O=15O=15.

Q is two steps after O, so its position is 17.

Example 4: If opposite-letter coding is used, how is RATIO written?

Use the pairs AZA\leftrightarrow Z, BYB\leftrightarrow Y, and so on.

RIR\to I, AZA\to Z, TGT\to G, IRI\to R, OLO\to L.

The code is IZGRL.

Example 5: If the code number of PEN is the sum of alphabet positions, what is the value?

P=16P=16, E=5E=5, N=14N=14.

Total =16+5+14=35=16+5+14=35.

Example 6: In substitution coding, 'water' is called 'juice'. What should a student ask for if they want water?

The question asks for the coded word used for water.

Since water is called juice, the answer is juice.

Example 7: In message coding, 'smart students revise' = 'ka ti mo' and 'students solve mocks' = 'ti ra zu'. What is the code for students?

The repeated word is students.

The repeated code token is ti, so students = ti.

Example 8: A word is split into odd-place and even-place letters, both parts are reversed, and the odd-place part is written first. How is POCKET coded?

Odd-place letters are P, C, E, which reverse to ECP.

Even-place letters are O, K, T, which reverse to TKO.

Write odd-part first: ECPTKO.

Example 9: If digits are coded as 1→R, 2→S, 3→T, 4→U, 5→V, 6→W, 7→X, 8→Y, 9→Z, 0→Q, how is 2765 written?

Replace each digit directly.

2S2\to S, 7X7\to X, 6W6\to W, 5V5\to V.

The code is SXWV.

Example 10: If the 3×3 coordinate matrix maps letters by position, what is the main solving rule?

Read the coordinate of each letter one by one.

Keep the original letter order unless the question clearly asks for reversal or rearrangement.

Next Step

Move into Timed Practice

Use the sectional practice page to isolate alphabet position, direct coding, substitution coding, message comparison, and matrix conversion. Then finish with the full mixed mock to test pattern recognition under timer pressure.

Finished this topic?

Keep the practice loop moving

Move straight from chapter-wise questions into a subject test, then loop back into weaker areas instead of ending the session here.