Pattern Analysis: VZC, FJMDHK, NRU

The question requires us to identify a pair from the given options that exhibits the same underlying pattern demonstrated by the letter sets VZC, FJMDHK, and NRU. We need to decipher this pattern first.

VZC Pattern Breakdown

Let's determine the pattern within the set 'VZC' by looking at the alphabetical positions of its letters:

• V corresponds to the 22^nd position.
• Z corresponds to the 26^th position.
• C corresponds to the 3^rd position.

Now, let's calculate the difference between the positions of consecutive letters:

• Difference between Z and V: $26 - 22 = 4$.
• Difference between C and Z: Since C comes after Z in the alphabet cycle, we can consider C as the 29^th position (26 + 3). So, the difference is $29 - 26 = 3$.

The pattern of differences for VZC is +4, +3.

FJMDHK Pattern Analysis

Let's analyze the set 'FJMDHK'. It seems structured to possibly contain the same pattern. We'll examine the alphabetical positions and differences:

• F (6), J (10), M (13)
• D (4), H (8), K (11)

Calculating differences within the first sequence (FJM):

• Position of J - Position of F: $10 - 6 = 4$.
• Position of M - Position of J: $13 - 10 = 3$.

Calculating differences within the second sequence (DHK):

• Position of H - Position of D: $8 - 4 = 4$.
• Position of K - Position of H: $11 - 8 = 3$.

This set clearly shows the pattern of differences +4, +3 repeating.

NRU Pattern Identification

Finally, let's analyze the set 'NRU':

• N corresponds to the 14^th position.
• R corresponds to the 18^th position.
• U corresponds to the 21^st position.

Calculating the differences:

• Position of R - Position of N: $18 - 14 = 4$.
• Position of U - Position of R: $21 - 18 = 3$.

The pattern of differences for NRU is also +4, +3.

Options Pattern Matching

We have established that the core pattern involves a sequence of differences of +4 followed by +3 between the alphabetical positions of consecutive letters. The question asks for a pair (XXX-YYY) where *both* XXX and YYY adhere to this pattern.

Option 1: RVY-AFH Analysis

• RVY: R(18), V(22), Y(25). Differences: $22-18 = 4$, $25-22 = 3$. This part follows the +4, +3 pattern.
• AFH: A(1), F(6), H(8). Differences: $6-1 = 5$, $8-6 = 2$. This part does *not* follow the +4, +3 pattern.

Therefore, this option is incorrect.

Option 2: RUW-BFI Analysis

• RUW: R(18), U(21), W(23). Differences: $21-18 = 3$, $23-21 = 2$. This part does *not* follow the +4, +3 pattern.
• BFI: B(2), F(6), I(9). Differences: $6-2 = 4$, $9-6 = 3$. This part follows the +4, +3 pattern.

Since one part does not match, this option is incorrect.

Option 3: RVY-BFI Analysis

• RVY: R(18), V(22), Y(25). Differences: $22-18 = 4$, $25-22 = 3$. This part follows the +4, +3 pattern.
• BFI: B(2), F(6), I(9). Differences: $6-2 = 4$, $9-6 = 3$. This part also follows the +4, +3 pattern.

Both parts of this pair perfectly match the identified pattern.

Option 4: VST-SPQ Analysis

• VST: V(22), S(19), T(20). Differences: $19-22 = -3$, $20-19 = 1$. This part does *not* follow the +4, +3 pattern.
• SPQ: S(19), P(16), Q(17). Differences: $16-19 = -3$, $17-16 = 1$. This part also does *not* follow the +4, +3 pattern.

Therefore, this option is incorrect.

RVY-BFI: The Correct Pair

By evaluating all options against the derived pattern (+4, +3 difference between consecutive letter positions), we find that only the pair RVY-BFI consistently applies this pattern to both its components, RVY and BFI.