Understanding the Letter Triad Logic

The question asks us to identify the pattern governing transformations within letter groups (triads) and apply it to find the correct option.

We are given two examples:

• BEAN -> EBAN -> BANE
• MAKE -> AMKE -> MKEA

Let's analyze the transformations step-by-step:

Step 1: Analyzing the First Transformation (Example 1)

Consider the first triad: BEAN -> EBAN.

• Original: B E A N
• Result: E B A N
• Observation: The first letter 'B' and the second letter 'E' have swapped positions. The letters 'A' and 'N' remain in their positions.

Step 2: Analyzing the Second Transformation (Example 1)

Now, consider the transformation from EBAN to BANE.

• Original: E B A N
• Result: B A N E
• Observation: The first letter 'E' has moved to the last position. The remaining letters 'B', 'A', 'N' have shifted one position to the left, forming 'BANE'.

This reveals a two-step process:

1. Swap the first two letters of the word.
2. Move the *new* first letter to the end of the word.

Step 3: Verifying the Logic with the Second Example

Let's check if this logic holds for MAKE -> AMKE -> MKEA.

• Starting with MAKE:
• Step 1 (Swap first two letters): M A K E -> A M K E. This matches the second term.
• Step 2 (Move new first letter 'A' to the end): A M K E -> M K E A. This matches the third term.

The logic is confirmed.

Step 4: Applying the Logic to the Options

Now, we apply the two-step logic to each option:

Option 1: RACE - RCAE - ECAR

• Step 1 (Swap first two): R A C E -> A R C E.
• The expected second term is RCAE, but we got ARCE. This option does not follow the logic.

Option 2: MACK - AMCK - MCKA

• Step 1 (Swap first two): M A C K -> A M C K. This matches the second term.
• Step 2 (Move new first letter 'A' to the end): A M C K -> M C K A. This matches the third term.
• This option follows the established logic.

Option 3: WORK - OWRK - KORW

• Step 1 (Swap first two): W O R K -> O W R K. This matches the second term.
• Step 2 (Move new first letter 'O' to the end): O W R K -> W R K O.
• The expected third term is KORW, but we got WRKO. This option does not follow the logic.

Option 4: NEAR - ENAR - EARN

• Step 1 (Swap first two): N E A R -> E N A R. This matches the second term.
• Step 2 (Move new first letter 'E' to the end): E N A R -> N A R E.
• The expected third term is EARN, but we got NARE. This option does not follow the logic.

Conclusion

Based on the analysis, only Option 2 (MACK - AMCK - MCKA) correctly follows the two-step transformation logic identified from the examples.