Letter Cluster Pattern Analysis

This question requires identifying a specific transformation rule applied to letter clusters (words) and then applying that rule to find the corresponding cluster for CAREFUL. We are given two examples demonstrating the relationship:

• CAPABLE transforms into PACELBA
• AUCTION transforms into CUANOIT

Our task is to determine the rule and apply it to CAREFUL.

Decoding the CAPABLE to PACELBA Transformation

Let's break down the first pair: CAPABLE and PACELBA.

The word CAPABLE has 7 letters. We can split it into two parts based on the structure observed:

1. The first 3 letters: CAP
2. The remaining 4 letters: ABLE

Observing the result PACELBA, we can see that the transformation involves reversing each part:

• The first part CAP is reversed to become PAC.
• The second part ABLE is reversed to become ELBA.

By concatenating these reversed parts, we get PAC + ELBA = PACELBA. This suggests the rule is: split the 7-letter word into parts of 3 and 4 letters, reverse each part individually, and then join them together.

Verifying the Pattern with AUCTION : CUANOIT

To confirm our deduced rule, let's apply it to the second pair: AUCTION and CUANOIT.

AUCTION also has 7 letters. Following the same splitting logic (first 3 letters and the remaining 4 letters):

• First part: AUC
• Second part: TION

Now, we reverse each part:

• Reversing AUC yields CUA.
• Reversing TION yields NOIT.

Concatenating the reversed parts gives CUA + NOIT = CUANOIT.

Since this matches the second example, our derived rule is consistent and confirmed.

Finding the Transformation for CAREFUL

Finally, we apply the confirmed rule to the target word CAREFUL.

CAREFUL is a 7-letter word.

Step 1: Split the word into the first 3 letters and the remaining 4 letters.

• First part: CAR
• Second part: EFUL

Step 2: Reverse the first part.

• Reversing CAR results in RAC.

Step 3: Reverse the second part.

• Reversing EFUL results in LUFE.

Step 4: Concatenate the reversed parts to form the final related word.

• RAC + LUFE = RACLUFE.

Therefore, the letter cluster related to CAREFUL, following the established pattern, is RACLUFE.