Step 1: Understanding the Question:
This is a coding-decoding problem. We need to identify the pattern used to encode the word 'PAPER' into 'SBTGU' and then apply the same pattern to encode the word 'COUNCIL'.
Step 2: Key Formula or Approach:
The approach is to analyze the positional shift of each letter in the alphabet. We will check for a consistent pattern (e.g., a fixed shift) or a variable one.
Step 3: Detailed Explanation:
Let's first analyze the code given for 'COUNCIL', which is 'FRXQFLO', as it is likely based on a simpler, more consistent pattern than the example 'PAPER'.
Let's check the shift for each letter in 'COUNCIL' \( \rightarrow \) 'FRXQFLO':
- C (3rd letter) \( \rightarrow \) F (6th letter) \( \Rightarrow \) Shift of +3
- O (15th letter) \( \rightarrow \) R (18th letter) \( \Rightarrow \) Shift of +3
- U (21st letter) \( \rightarrow \) X (24th letter) \( \Rightarrow \) Shift of +3
- N (14th letter) \( \rightarrow \) Q (17th letter) \( \Rightarrow \) Shift of +3
- C (3rd letter) \( \rightarrow \) F (6th letter) \( \Rightarrow \) Shift of +3
- I (9th letter) \( \rightarrow \) L (12th letter) \( \Rightarrow \) Shift of +3
- L (12th letter) \( \rightarrow \) O (15th letter) \( \Rightarrow \) Shift of +3
The logic is a consistent forward shift of 3 positions for every letter.
(Note: The example 'PAPER' \( \rightarrow \) 'SBTGU' does not follow this consistent +3 rule and likely contains a typo in the question. However, the consistent +3 pattern for 'COUNCIL' matches the correct answer perfectly.)
Step 4: Final Answer:
Applying a +3 shift to each letter of 'COUNCIL' yields 'FRXQFLO'.