In a certain coding scheme, the word 'SCHOOL' is coded as 'TEKSTR'. How will…

2023

In a certain coding scheme, the word 'SCHOOL' is coded as 'TEKSTR'. How will the word 'OFTEN' be coded in the same scheme?

Answer: A. PHWISCONCEPTIn a position-wise coding rule, each source letter is transformed independently according to the shift assigned to that position. When a worked example…

  1. A.

    PHWIS

  2. B.

    PGUFO

  3. C.

    PHVGP

  4. D.

    PHUGO

Show answer & explanation

Correct answer: A

CONCEPT

In a position-wise coding rule, each source letter is transformed independently according to the shift assigned to that position. When a worked example shows shifts increasing by one from left to right, another word uses the same sequence for every position it contains; a shorter word uses the applicable prefix of that sequence.

APPLICATION

Position

Source letter

Forward shift

Coded letter

1

S

+1

T

2

C

+2

E

3

H

+3

K

4

O

+4

S

5

O

+5

T

6

L

+6

R

  1. S moves forward by 1 letter to T.

  2. C moves forward by 2 letters to E.

  3. H moves forward by 3 letters to K.

  4. O moves forward by 4 letters to S.

  5. O moves forward by 5 letters to T.

  6. L moves forward by 6 letters to R.

  1. At position 1, O moves forward by 1 letter to P.

  2. At position 2, F moves forward by 2 letters to H.

  3. At position 3, T moves forward by 3 letters to W.

  4. At position 4, E moves forward by 4 letters to I.

  5. At position 5, N moves forward by 5 letters to S.

CROSS-CHECK

The obtained letters P, H, W, I, S follow the same +1, +2, +3, +4, +5 position sequence seen in the example.

Therefore, OFTEN is coded as PHWIS.

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