Identifying the Coding Pattern
The question presents a code where 'PQRS' is transformed into 'HIJK'. We need to determine the relationship between the letters in the original word and the coded word.
- P (16th letter) becomes H (8th letter). The difference is $16 - 8 = 8$.
- Q (17th letter) becomes I (9th letter). The difference is $17 - 9 = 8$.
- R (18th letter) becomes J (10th letter). The difference is $18 - 10 = 8$.
- S (19th letter) becomes K (11th letter). The difference is $19 - 11 = 8$.
The pattern is a backward shift of 8 positions in the alphabet. Each letter in 'PQRS' corresponds to a letter 8 positions before it.
Applying the Pattern to 'XYZA'
Now, we apply the same rule (subtract 8 positions) to the word 'XYZA':
- X is the 24th letter. Applying the shift: $24 - 8 = 16$. The 16th letter is P.
- Y is the 25th letter. Applying the shift: $25 - 8 = 17$. The 17th letter is Q.
- Z is the 26th letter. Applying the shift: $26 - 8 = 18$. The 18th letter is R.
- A is the 1st letter. Applying the shift requires wrapping around the alphabet: $(1 - 8) \pmod{26} = -7 \pmod{26} = 19$. The 19th letter is S.
Therefore, 'XYZA' is coded as 'PQRS' in this language.
Similar Questions
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Important Questions from Coding and Decoding By Letter Shifting
In a certain code language, 'INERTIA' is written as 'RGVKGBZ'. How will 'FLOWER' be written in that language?
In a certain code language, ‘ADVANCE’ is written as ‘VDAAECN’ and ‘BABYSIT’ is written as ‘BABYTIS’. How will ‘AFFABLE’ be written in that language?
In a certain language, CHHAPAK is coded as DJKEUGR. How will MALANGA be coded in that language?
In a certain code language, ‘DURABLES’ is written as ‘BSVETFMC’. How will ‘FEASIBLE’ be written in that language?
In a certain code language, 'FIXED' is written as 'XIFED' and 'MOUSE' is written as 'USOME'. How will 'GAMBIT' be written in that language?
