Understanding the Letter-Cluster Analogy Pattern

The question asks us to identify a pattern between pairs of letter clusters and apply it to find the missing cluster. We need to determine the relationship between the first pair (GAVE $\ratio$ AGEV) and the second pair (KEPT $\ratio$ EKTP) and then use this same relationship for the third pair (ACID $\ratio$ ?).

Analyzing the First Pair: GAVE $\ratio$ AGEV

• The first letter cluster is GAVE.
• The second letter cluster is AGEV.
• Let's look at the positions of the letters:
  • G (1st) moves to 2nd position.
  • A (2nd) moves to 1st position.
  • V (3rd) moves to 4th position.
  • E (4th) moves to 3rd position.
• The transformation is: GAVE $\rightarrow$ AGEV. This involves swapping the first two letters (GA $\rightarrow$ AG) and swapping the last two letters (VE $\rightarrow$ EV).

Analyzing the Second Pair: KEPT $\ratio$ EKTP

• The third letter cluster is KEPT.
• The fourth letter cluster is EKTP.
• Let's examine the letter positions:
  • K (1st) moves to 2nd position.
  • E (2nd) moves to 1st position.
  • P (3rd) moves to 4th position.
  • T (4th) moves to 3rd position.
• The transformation is: KEPT $\rightarrow$ EKTP. This also involves swapping the first two letters (KE $\rightarrow$ EK) and swapping the last two letters (PT $\rightarrow$ TP).

Identifying the Consistent Pattern

Both examples demonstrate the same pattern:

• The first two letters of the original cluster are swapped.
• The last two letters of the original cluster are swapped.

If we represent the cluster as ABCD, the pattern transforms it into BADC.

Applying the Pattern to ACID

• The fifth letter cluster we need to transform is ACID.
• Following the identified pattern:
  • Identify the first two letters: AC. Swap them to get CA.
  • Identify the last two letters: ID. Swap them to get DI.
• Combining the swapped pairs gives us the final cluster: CADI.

Selecting the Correct Option

We compare our result, CADI, with the given options:

• Option 1: CIAD
• Option 2: CAID
• Option 3: ACDI
• Option 4: CADI

Our calculated result matches Option 4.

Final Answer Determination

Based on the analysis of the letter-cluster relationships, the pattern of swapping the first two letters and swapping the last two letters was consistently applied. Applying this pattern to the letter cluster ACID results in CADI, which corresponds to Option 4.