Understanding the Pattern in Letter Triads

The question asks to identify the logical pattern connecting three-letter sequences (triads) and apply it to select the correct option. We need to analyze how the first sequence transforms into the second, and the second into the third.

Analyzing the Transformations

Let's examine the provided examples and the correct option to deduce the logic:

Step 1: First Transformation (Word 1 -> Word 2)

The first transformation involves swapping the first two letters of the initial word.

• Example 1: POST -> OPST. Here, 'P' and 'O' are swapped.
• Example 2: LITE -> ILTE. Here, 'L' and 'I' are swapped.
• Correct Option A: GANY -> AGNY. Here, 'G' and 'A' are swapped.

This step appears consistent across valid examples.

Step 2: Second Transformation (Word 2 -> Word 3)

The second transformation takes the result from Step 1 (Word 2) and moves its first letter to the very end of the sequence.

• Example 2 Analysis: ILTE -> LTEI. The first letter 'I' from 'ILTE' is moved to the end, resulting in 'LTEI'. This matches.
• Correct Option A Analysis: AGNY -> GNYA. The first letter 'A' from 'AGNY' is moved to the end, resulting in 'GNYA'. This matches.

Note: The first example (POST -> OPST -> PST) seems to have an error in the question, as applying the derived logic to 'OPST' would yield 'PSTO', not 'PST'. However, the logic holds for the second example and the correct option.

Applying the Logic to Option A

Let's verify Option A using the deduced two-step logic:

1. Word 1: GANY
2. Transformation 1 (Swap first two letters): GANY becomes AGNY.
3. Transformation 2 (Move first letter of Word 2 to the end): The first letter of 'AGNY' is 'A'. Moving it to the end results in GNYA.

Since both transformations correctly produce the sequence in Option A (GANY -> AGNY -> GNYA), this option follows the established logic.

Verifying Other Options

Let's quickly check why other options are incorrect:

• Option 2: HOST -> OHST -> OSTH. HOST -> OHST (Correct). OHST -> STHO (Incorrect, should be OSTH).
• Option 3: VAIN -> VIAN -> NIAV. VAIN -> VIAN (Correct). VIAN -> IANV (Incorrect, should be NIAV).
• Option 4: MIND -> IMND -> DINM. MIND -> IMND (Correct). IMND -> MNDI (Incorrect, should be DINM).

Conclusion

Option A is the only sequence that consistently follows the identified pattern: swapping the first two letters, followed by moving the new first letter to the end.