If in a certain language, MIRACLE is coded as NKUEHRL, then how is GAMBLE…

2024

If in a certain language, MIRACLE is coded as NKUEHRL, then how is GAMBLE coded in that language?

  1. A.

    JDOCMF

  2. B.

    CLEMNK

  3. C.

    HCPFQK

  4. D.

    AELGMN

Attempted by 1 students.

Show answer & explanation

Correct answer: C

Concept: In a positional letter-shift cipher, each letter of the coded word moves forward in the alphabet by a number of steps equal to its position in the word (the 1st letter shifts by 1, the 2nd by 2, and so on) — the step size grows letter by letter rather than staying fixed.

Applying this to the given clue MIRACLE -> NKUEHRL confirms the rule:

  1. M (1st letter) + 1 step = N

  2. I (2nd letter) + 2 steps = K

  3. R (3rd letter) + 3 steps = U

  4. A (4th letter) + 4 steps = E

  5. C (5th letter) + 5 steps = H

  6. L (6th letter) + 6 steps = R

  7. E (7th letter) + 7 steps = L

Apply the same rule, position by position, to GAMBLE:

  1. G (1st letter) + 1 step = H

  2. A (2nd letter) + 2 steps = C

  3. M (3rd letter) + 3 steps = P

  4. B (4th letter) + 4 steps = F

  5. L (5th letter) + 5 steps = Q

  6. E (6th letter) + 6 steps = K

Cross-check: reverse the code by shifting each letter of HCPFQK backward by the same position-based amount (H-1=G, C-2=A, P-3=M, F-4=B, Q-5=L, K-6=E), which reconstructs GAMBLE exactly — confirming the code.

So GAMBLE is coded as HCPFQK.

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