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?
- A.
MCGRFT
- B.
MBFSFU
- C.
NCRGGT
- 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:
1st letter: L (12th letter) shifts 1 place forward → M (13th letter).
2nd letter: A (1st letter) shifts 2 places forward → C (3rd letter).
3rd and 4th letters: R and G swap places with each other (no shift) → G, R.
5th letter: E (5th letter) shifts 1 place forward → F (6th letter).
6th letter: R (18th letter) shifts 2 places forward → T (20th letter).
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.
