This question asks us to decipher a coding pattern based on an example and apply it to a new word. The example shows 'CAT' being coded as 'FDW'. This suggests a consistent rule is applied to each letter.
Let's examine the letter shifts using their positions in the English alphabet (A=1, B=2, C=3, ...):
The pattern identified is that each letter is replaced by the letter 3 positions after it in the alphabet (a Caesar cipher with a shift of +3).
| Original Letter | Coded Letter | Position Shift |
|---|---|---|
| C | F | \(+3\) |
| A | D | \(+3\) |
| T | W | \(+3\) |
To find the code for 'DOG', we apply the same \(+3\) shift rule to each letter:
Combining these results, 'DOG' is coded as 'GRJ'.
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