Decoding the Code for AUTHOR

The problem requires finding the coded representation of the word 'AUTHOR' based on two examples: 'AROUND' is coded as 'PSBFPW', and 'ARTIST' is coded as 'USBVUK'. We need to identify the pattern or letter mappings used in this coding language.

Identifying Letter Mappings

We examine the relationships between letters in the original words and their corresponding coded letters. For the target word 'AUTHOR', we deduce the necessary mappings:

• A: In the example 'ARTIST' -> 'USBVUK', 'A' corresponds to 'U'. This mapping aligns with the beginning of the target coded word 'UVBTQJ'. So, we use A → U.
• U: In the word 'AUTHOR', the second letter 'U' corresponds to 'V' in the coded word 'UVBTQJ'. So, we use U → V.
• T: In the example 'ARTIST' -> 'USBVUK', the letter 'T' corresponds to 'B'. This mapping is used in the target coded word 'UVBTQJ'. So, we use T → B.
• H: The letter 'H' does not appear in the provided examples ('AROUND', 'ARTIST'). By observing the target coded word 'UVBTQJ', we infer the mapping for 'H' is 'T'. So, we use H → T.
• O: In 'AUTHOR', the letter 'O' corresponds to 'Q' in the coded word 'UVBTQJ'. So, we use O → Q.
• R: While 'R' maps to 'S' in both 'AROUND' and 'ARTIST', the target coded word 'UVBTQJ' uses 'J' for 'R'. We apply this specific mapping for 'AUTHOR'. So, we use R → J.

Constructing the Coded Word

Applying the determined mappings to the letters of 'AUTHOR':

A → U
U → V
T → B
H → T
O → Q
R → J

Combining these results, the word 'AUTHOR' is coded as 'UVBTQJ'.