If KFWHJ represents FARCE, what does INXRFQ stand for?

2024

If KFWHJ represents FARCE, what does INXRFQ stand for?

Answer: A. DISMALConcept: This is a letter-shift (Caesar-shift) substitution cipher — every letter of the coded word is obtained by moving a fixed number of places forward in…

  1. A.

    DISMAL

  2. B.

    DECMAL

  3. C.

    DISLAM

  4. D.

    DECLAM

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Show answer & explanation

Correct answer: A

Concept: This is a letter-shift (Caesar-shift) substitution cipher — every letter of the coded word is obtained by moving a fixed number of places forward in the alphabet from the corresponding letter of the plain word. To decode a new coded word, first find this fixed shift from the given example, then apply the reverse shift to every letter of the new code.

Application:

  1. Note the alphabet position of each letter in the example pair KFWHJ (code) and FARCE (plain): K=11↔F=6, F=6↔A=1, W=23↔R=18, H=8↔C=3, J=10↔E=5.

  2. Subtract the plain-letter position from the code-letter position at each spot: 11-6=5, 6-1=5, 23-18=5, 8-3=5, 10-5=5 — every letter is shifted forward by exactly 5 places, so the fixed shift is 5.

  3. Apply the same shift to INXRFQ by subtracting 5 from each letter's position: I(9)-5=4=D, N(14)-5=9=I, X(24)-5=19=S, R(18)-5=13=M, F(6)-5=1=A, Q(17)-5=12=L.

  4. Reading the results in order gives D, I, S, M, A, L.

Cross-check: Re-encoding this result by adding 5 to each letter regenerates the original code exactly — D+5=I, I+5=N, S+5=X, M+5=R, A+5=F, L+5=Q — i.e. INXRFQ, confirming the decoding. It is also the only one of the four options that is an actual English word.

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