In a certain code language, "FIGURE" is written as "GKUGSG" and "TRIPOD" is…

2024

In a certain code language, "FIGURE" is written as "GKUGSG" and "TRIPOD" is written as "UTPIPF". How is "LARGER" written in that code language?

  1. A.

    MCGRFT

  2. B.

    MBFSFU

  3. C.

    NCRGGT

  4. D.

    NBRGTG

Attempted by 57 students.

Show answer & explanation

Correct answer: A

Concept

Coding-decoding items like this hide ONE fixed transformation rule that applies to every letter position; it must be recovered by comparing a word against its given code position by position, never assumed as a single uniform shift for the whole word.

Comparing FIGURE→GKUGSG and TRIPOD→UTPIPF position by position reveals the same rule in both: the 1st letter moves 1 place forward in the alphabet, the 2nd letter moves 2 places forward, the 3rd and 4th letters swap places with each other (no alphabet shift), the 5th letter moves 1 place forward, and the 6th letter moves 2 places forward.

Application

Applying this confirmed rule to LARGER, letter by letter:

  1. 1st letter: L (12th letter) shifts 1 place forward → M (13th letter).

  2. 2nd letter: A (1st letter) shifts 2 places forward → C (3rd letter).

  3. 3rd and 4th letters: R and G swap places with each other (no shift) → G, R.

  4. 5th letter: E (5th letter) shifts 1 place forward → F (6th letter).

  5. 6th letter: R (18th letter) shifts 2 places forward → T (20th letter).

  6. Reading the transformed letters in order gives M, C, G, R, F, T — so LARGER is coded as MCGRFT.

Cross-check

Re-applying the same five-step rule independently to TRIPOD confirms it holds — T shifts 1 place forward to U, R shifts 2 places forward to T, I and P swap places to give P, I, O shifts 1 place forward to P, and D shifts 2 places forward to F, reproducing UTPIPF exactly as stated in the question. This confirms the rule used above is consistent across both given examples, not a one-off coincidence, so MCGRFT is the correct code for LARGER.

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