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3 MIN LESSON · LOGICAL REASONING

Coding-Decoding: Shifts, Reversals and Word Codes

Recognise the common coding patterns in reasoning tests: letter shifts, reversals, opposite letters, letter-value sums and sentence codes found by comparing common words.

Know the alphabet positions

Coding questions are fast once you know positions without counting.

Letter

A

E

J

O

T

Y

Position

1

5

10

15

20

25

Opposite letters add up to 27: 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.

Common patterns

Pattern

Example

shift forward by n

CAT → DBU (+1)

shift backward by n

GOLD → EMJB (−2)

reverse the word

TABLE → ELBAT

opposite letters

CAT → XZG

letter positions

CAB → 3 1 2

sum of positions

PEN → 16 + 5 + 14 = 35

reverse positions (A = 26)

DOG → 23 + 12 + 20 = 55

Decoding method

  1. Write the original word and its code one under the other.

  2. Compare letter by letter: is the shift constant? Is the order reversed? Do the pairs add up to 27?

  3. Apply exactly the same rule to the new word.

Sentence codes

Words are coded as whole tokens. Compare sentences that share words: the shared word must have the shared code.

Example.

  • "sky is blue" = "ta na pa"

  • "blue sea" = "pa ko"

  • "sea is deep" = "ko na lu"

"blue" is in the first two sentences and "pa" is the only common code, so blue = pa. Similarly is = na and sea = ko. That leaves sky = ta and deep = lu.

Shortcuts and tricks

The standard way is to write out letter positions and compare. Two facts make most letter codes quick.

EJOTY for positions

Example: the position of R.

  • Standard way: count A, B, C, … up to R: 18.

  • Shortcut: remember E = 5, J = 10, O = 15, T = 20, Y = 25. R is 3 after O: 18.

Opposite letters add to 27

Example: the opposite of H.

  • Standard way: pair up the alphabet from both ends (A–Z, B–Y, …) until you reach H.

  • Shortcut: H = 8, so its opposite is at 27 − 8 = 19, which is S.

Reverse positions

Example: the reverse-alphabet value of K (A = 26, Z = 1).

  • Standard way: count backwards from Z: Z = 1, Y = 2, … K = 16.

  • Shortcut: reverse value = 27 − position = 27 − 11 = 16.

Sentence codes: compare pairs

Find two sentences that share one word; the code they share is that word. Repeat with another pair until the word asked for is the only one left.

Exam tips

  • Check the first and last letters first; most patterns show up there.

  • A word and its code having the same letters in a different order is a rearrangement code.

  • Position codes are often "+1" or "opposite" in disguise.

Practise this topic →

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