in a certain coded language "TURK" is coded as 'YAWQ' and 'BUFF' is coded as 'GAKL'. How will 'FOGS' be coded in the same code language?
KULY
This is a letter-shifting code, so each letter of the plain word is compared with the letter in the same position of its code to reveal how far along the alphabet it has moved.
Reading the positions off, the shifts run in an alternating pattern of +5, +6, +5, +6 across the four letters of the word, with a count past Z wrapping back to A.
Checking TURK: \(T+5=Y\), \(U+6=A\) (U is 21, and 21+6=27 wraps to A), \(R+5=W\), \(K+6=Q\), which gives YAWQ.
Verifying BUFF: \(B+5=G\), \(U+6=A\), \(F+5=K\), \(F+6=L\), which gives GAKL, so the alternating rule is confirmed on both given words.
Applying the same shifts to FOGS: \(F+5=K\), \(O+6=U\), \(G+5=L\), \(S+6=Y\).
Reading the coded letters in order gives K, U, L, Y, that is KULY.
Hence 'FOGS' is coded as KULY.
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