Decoding the Letter Rearrangement Pattern

The question asks us to find the relationship between the first pair of letter clusters (COMFORT : FMOCTRO) and the second pair (DIGNITY : NGIDYTI) and apply the same logic to the third pair (FOREIGN : ?). This is a letter coding problem based on positional rearrangement.

Step 1: Analyzing the COMFORT to FMOCTRO Transformation

First, let's identify the positional changes involved in transforming 'COMFORT' into 'FMOCTRO'.

• Number the letters of the original word 'COMFORT':

  C₁ O₂ M₃ F₄ O₅ R₆ T₇

• Now, examine the resulting word 'FMOCTRO' and map its letters back to their original positions in 'COMFORT':
  • The first letter 'F' in 'FMOCTRO' is the 4th letter of 'COMFORT'.
  • The second letter 'M' in 'FMOCTRO' is the 3rd letter of 'COMFORT'.
  • The third letter 'O' in 'FMOCTRO' is the 2nd letter of 'COMFORT'.
  • The fourth letter 'C' in 'FMOCTRO' is the 1st letter of 'COMFORT'.
  • The fifth letter 'T' in 'FMOCTRO' is the 7th letter of 'COMFORT'.
  • The sixth letter 'R' in 'FMOCTRO' is the 6th letter of 'COMFORT'.
  • The seventh letter 'O' in 'FMOCTRO' is the 5th letter of 'COMFORT'.
• This reveals a specific positional rearrangement pattern: 4, 3, 2, 1, 7, 6, 5. The letters are rearranged from their original positions (1 to 7) into this new order.

Step 2: Verifying the Pattern with DIGNITY : NGIDYTI

Let's check if this pattern holds true for the second example, 'DIGNITY' transforming into 'NGIDYTI'.

• Number the letters of 'DIGNITY':

  D₁ I₂ G₃ N₄ I₅ T₆ Y₇

• Apply the identified pattern (4, 3, 2, 1, 7, 6, 5) to these positions:
  • 4th position gives 'N'.
  • 3rd position gives 'G'.
  • 2nd position gives 'I'.
  • 1st position gives 'D'.
  • 7th position gives 'Y'.
  • 6th position gives 'T'.
  • 5th position gives 'I'.
• Combining these letters yields 'NGIDYTI'.
• This matches the result given in the question, confirming that the 4, 3, 2, 1, 7, 6, 5 positional rearrangement pattern is correct.

Step 3: Applying the Pattern to FOREIGN

Now, we apply the confirmed pattern to the word 'FOREIGN'.

• First, number the letters of 'FOREIGN':

  F₁ O₂ R₃ E₄ I₅ G₆ N₇

• Rearrange the letters using the pattern 4, 3, 2, 1, 7, 6, 5:
  • 4th letter: E
  • 3rd letter: R
  • 2nd letter: O
  • 1st letter: F
  • 7th letter: N
  • 6th letter: G
  • 5th letter: I
• Combining these letters in the new order gives the result: EROFNGI.

Step 4: Matching the Result with the Options

Let's compare our result 'EROFNGI' with the provided options:

• Option 1: EROFNGI
• Option 2: ROFNGIE
• Option 3: EROFIGN
• Option 4: EFORNGI

Our calculated result, 'EROFNGI', perfectly matches Option 1.

Final Answer Explanation

The core logic is a positional swap. The word is treated as a sequence of 7 letters. The transformation follows the rule of picking letters from positions 4, 3, 2, 1, 7, 6, 5 in that order. Applying this rule consistently to 'COMFORT' and 'DIGNITY' yields the given results. When applied to 'FOREIGN', it correctly produces 'EROFNGI', which is Option 1.