Analyzing the Letter Cluster Analogy

The question asks us to find the relationship between the first and second letter clusters in the given pairs and apply the same relationship to the third letter cluster.

The given pairs are:

• PARROT : PTRKOM
• RECIPE : RXCBPX
• RELISH : ?

Let's analyze the transformation from the first word to the second in each known pair.

Analysis of the First Pair: PARROT to PTRKOM

Let's look at the letters in corresponding positions:

The shifts observed are: +0, +19, +0, -7, +0, -7.

Analysis of the Second Pair: RECIPE to RXCBPX

Let's analyze the letters in corresponding positions for the second pair:

The shifts observed are: +0, +19, +0, -7, +0, +19.

Identifying the Transformation Rule

Comparing the shifts from both pairs:

• Position 1: +0 (No Change) in both pairs.
• Position 2: +19 in both pairs.
• Position 3: +0 (No Change) in both pairs.
• Position 4: -7 in both pairs.
• Position 5: +0 (No Change) in both pairs.
• Position 6: -7 in the first pair (PARROT), +19 in the second pair (RECIPE).

The difference in Position 6 suggests the rule for this position depends on the letter itself. Let's look at the letters at Position 6 in the original words:

• PARROT: T (Consonant) resulted in a -7 shift.
• RECIPE: E (Vowel) resulted in a +19 shift.

This indicates the rule is consistent across positions 1-5, and position 6 has a condition based on whether the letter is a vowel or a consonant.

The deduced rule is:

• Positions 1, 3, 5: The letter remains unchanged (shift of &(\#43;)0).
• Position 2: The letter is shifted forward by 19 positions in the alphabet (shift of &(\#43;)19).
• Position 4: The letter is shifted backward by 7 positions in the alphabet (shift of -7).
• Position 6: If the letter is a Vowel (A, E, I, O, U), it is shifted forward by 19 positions (&(\#43;)19). If it is a Consonant, it is shifted backward by 7 positions (-7). Shifts wrap around the alphabet (A follows Z).

Applying the Rule to RELISH

Now we apply this rule to the letter cluster RELISH:

Applying the rule to RELISH results in the letter cluster RXLBSA.

Matching with Options

Let's compare the derived cluster RXLBSA with the given options:

1. HJUIOK
2. LACXIO
3. RXLBSA
4. TFSDBM

The transformed cluster RXLBSA matches Option 3.

Conclusion

Following the established pattern from the first two pairs, the letter cluster related to RELISH is RXLBSA.

Revision Table: Letter Cluster Analogy Rules

Additional Information: Letter Series and Analogies

Letter series and analogy questions test your ability to identify patterns in sequences or pairs of letters. These patterns can be based on various rules:

• Positional Shifts: Letters changing by a fixed number of positions in the alphabet (forward or backward).
• Alternating Patterns: Different rules applied to alternate letters or positions.
• Vowel/Consonant Rules: Rules depending on whether a letter is a vowel or a consonant.
• Reverse Order: Letters rearranged in reverse or some other specific order.
• Skipping Letters: Patterns involving skipping a certain number of letters.
• Combination of Rules: Complex patterns combining several of the above rules, as seen in this problem where shifts depend on both position and letter type.

Solving these questions requires careful observation, breaking down the problem into smaller parts (like position by position analysis), and systematically testing potential rules.