Solving Letter Cluster Analogies

This question asks us to identify the relationship between the first two letter clusters and the next two letter clusters, and then apply that same relationship to the fifth letter cluster to find the sixth one. This type of problem tests our ability to find patterns in letter arrangements.

Analyzing the Pattern: BRIGHT to RBTHGI

Let's look at the first pair of letter clusters: BRIGHT and RBTHGI.

Original word: BRIGHT

Transformed word: RBTHGI

Let's assign positions to the letters in the original word:

• B is at position 1
• R is at position 2
• I is at position 3
• G is at position 4
• H is at position 5
• T is at position 6

Now let's see where these letters appear in the transformed word RBTHGI:

• The letter at original position 1 (B) is now at position 2 in RBTHGI.
• The letter at original position 2 (R) is now at position 1 in RBTHGI.
• The letter at original position 3 (I) is now at position 6 in RBTHGI.
• The letter at original position 4 (G) is now at position 5 in RBTHGI.
• The letter at original position 5 (H) is now at position 4 in RBTHGI.
• The letter at original position 6 (T) is now at position 3 in RBTHGI.

So, the pattern is a positional transformation. Original position 1 goes to new position 2, original position 2 goes to new position 1, and so on. We can represent this mapping as follows:

Verifying the Pattern: SLAVES to LSSEVA

Let's apply this positional mapping to the second pair: SLAVES and LSSEVA. The word SLAVES has 6 letters, just like BRIGHT.

Original word: SLAVES

Letters at original positions:

• Position 1: S
• Position 2: L
• Position 3: A
• Position 4: V
• Position 5: E
• Position 6: S

Using the mapping (Original Pos > New Pos):

• Original Pos 1 (S) goes to New Pos 2.
• Original Pos 2 (L) goes to New Pos 1.
• Original Pos 3 (A) goes to New Pos 6.
• Original Pos 4 (V) goes to New Pos 5.
• Original Pos 5 (E) goes to New Pos 4.
• Original Pos 6 (S) goes to New Pos 3.

Let's build the new word based on the new positions:

• New Pos 1: Letter from Original Pos 2 (L)
• New Pos 2: Letter from Original Pos 1 (S)
• New Pos 3: Letter from Original Pos 6 (S)
• New Pos 4: Letter from Original Pos 5 (E)
• New Pos 5: Letter from Original Pos 4 (V)
• New Pos 6: Letter from Original Pos 3 (A)

Putting the letters together in the new positions: L S S E V A. This matches the given transformed word LSSEVA. The pattern is confirmed.

Applying the Pattern: REIGNS to ?

Now, we apply the same positional mapping to the fifth letter cluster: REIGNS. This word also has 6 letters.

Original word: REIGNS

Letters at original positions:

• Position 1: R
• Position 2: E
• Position 3: I
• Position 4: G
• Position 5: N
• Position 6: S

Using the mapping (Original Pos > New Pos):

• Original Pos 1 (R) goes to New Pos 2.
• Original Pos 2 (E) goes to New Pos 1.
• Original Pos 3 (I) goes to New Pos 6.
• Original Pos 4 (G) goes to New Pos 5.
• Original Pos 5 (N) goes to New Pos 4.
• Original Pos 6 (S) goes to New Pos 3.

Let's build the new word based on the new positions:

• New Pos 1: Letter from Original Pos 2 (E)
• New Pos 2: Letter from Original Pos 1 (R)
• New Pos 3: Letter from Original Pos 6 (S)
• New Pos 4: Letter from Original Pos 5 (N)
• New Pos 5: Letter from Original Pos 4 (G)
• New Pos 6: Letter from Original Pos 3 (I)

The resulting letter cluster is ERSNGI.

Comparing with Options

Let's check the generated letter cluster ERSNGI against the given options:

1. RESIGN
2. ERSIGN
3. ERISGN
4. ERSNGI

The letter cluster ERSNGI matches option 4.

The final answer is ERSNGI.

Revision Table: Letter Cluster Analogy

Additional Information: Understanding Positional Logic

Positional logic is a common technique in verbal reasoning and letter puzzle questions. Instead of changing the letters themselves (like moving +1 in the alphabet), the letters are rearranged based on a rule applied to their positions within the word.

Key aspects of positional logic problems:

• Fixed Length: The transformed word usually has the same number of letters as the original word.
• Mapping: Each position in the original word corresponds to a specific position in the new word. This mapping is consistent.
• Identifying the Rule: The key is to determine this position mapping rule by comparing the given examples.
• Applying the Rule: Once the rule is found, it can be applied directly to the new word to find its transformation.

These problems often involve swapping adjacent letters, reversing parts of the word, or more complex permutations of positions, as seen in this example where positions are shuffled in pairs and then across the word.