Understanding Letter-Cluster Analogy and Patterns

This question asks us to find the letter-cluster that completes an analogy. We are given three pairs, and we need to figure out the relationship or pattern connecting the first letter-cluster to the second letter-cluster in the first two pairs. Once we find this pattern, we apply it to the first letter-cluster of the third pair to find the missing second letter-cluster.

Analyzing the First Letter-Cluster Pair: GIST : FEHGRQSR

Let's look at the letters in the first pair:

• GIST has 4 letters.
• FEHGRQSR has 8 letters.

This suggests that each letter in the first cluster might be related to two letters in the second cluster. Let's examine the alphabetical positions of these letters.

It appears that for each letter in the first cluster, the corresponding two letters in the second cluster are the letters that come immediately before it and two places before it in the alphabet. Mathematically, if a letter is at position $X$, it is replaced by the letters at positions $X-1$ and $X-2$. The letters are then concatenated.

Verifying the Pattern with the Second Letter-Cluster Pair: DUCK : CBTSBAJI

Let's apply the deduced pattern to the second pair, DUCK, and see if we get CBTSBAJI.

Concatenating the resulting pairs: CB + TS + BA + JI = CBTSBAJI.

This matches the second letter-cluster provided in the second pair. The pattern is confirmed.

Applying the Pattern to the Third Letter-Cluster: LOPE : ?

Now, let's apply the same pattern to the first letter-cluster of the third pair, LOPE, to find the missing letter-cluster.

Concatenating the resulting pairs: KJ + NM + ON + DC = KJNMONDC.

Conclusion

Following the pattern where each letter in the first cluster is replaced by the two letters immediately preceding it in the alphabet, the letter-cluster related to LOPE is KJNMONDC.

Letter-Cluster Analogy Revision Table

Additional Information on Letter-Cluster Patterns

Letter-cluster analogies are common in logical reasoning sections of competitive exams. They test your ability to identify hidden patterns between groups of letters. These patterns can involve:

• Positional shifts (forward or backward in the alphabet)
• Skipping letters
• Reversing the order of letters
• Using opposite letters
• Combining multiple rules
• Numerical values of letters (alphabetical position)

Solving these questions requires careful observation, systematic analysis of the given pairs, and testing the proposed pattern on the remaining parts of the analogy.