Pattern Analysis of Letter Triads

The question presents two examples of letter triads and asks to identify which option follows the same pattern. Let's analyze the pattern in the given examples:

1. Example 1: JNS – NRW – RVALPU
2. Example 2: LPU – PTY – TXC

We examine the transformation between the letter groups within each triad.

Identifying the Transformation Rule

Let's look at the second example, LPU – PTY – TXC, as it seems more consistent.

• LPU to PTY:
  • L (position 12) + 4 = P (position 16)
  • P (position 16) + 4 = T (position 20)
  • U (position 21) + 4 = Y (position 25)
  The pattern is adding 4 to the alphabetical position of each letter.
• PTY to TXC:
  • P (position 16) + 4 = T (position 20)
  • T (position 20) + 4 = X (position 24)
  • Y (position 25) + 4 = C (position 3, calculated as \(25 + 4 = 29\), \(29 - 26 = 3\))
  This step also follows the "+4" pattern, considering the wrap-around nature of the alphabet (Z is 26, A is 1).

The first example (JNS – NRW) also follows this "+4" rule for the first transformation (J+4=N, N+4=R, S+4=W). The third group RVALPU appears inconsistent, but the dominant and clear pattern across the examples and options is the "+4" shift.

Evaluating the Options

We apply the "+4" pattern to each option:

• Option 1: UYD – YCH – CGL
  • UYD → YCH: U(21)+4=Y(25), Y(25)+4=C(3), D(4)+4=H(8). (Matches)
  • YCH → CGL: Y(25)+4=C(3), C(3)+4=G(7), H(8)+4=L(12). (Matches)
  • This triad follows the "+4" pattern consistently.
• Option 2: MQV – QUZ – VZE
  • MQV → QUZ: M(13)+4=Q(17), Q(17)+4=U(21), V(22)+4=Z(26). (Matches)
  • QUZ → VZE: Q(17)+4=U(21), U(21)+4=Y(25), Z(26)+4=D(4). (Result: UYD, Option shows VZE - Does not match)
• Option 3: UYD – YCI – CGL
  • UYD → YCI: U(21)+4=Y(25), Y(25)+4=C(3), D(4)+4=H(8). (Result: YCH, Option shows YCI - Does not match)
• Option 4: RVA – VZE – ZDH
  • RVA → VZE: R(18)+4=V(22), V(22)+4=Z(26), A(1)+4=E(5). (Matches)
  • VZE → ZDH: V(22)+4=Z(26), Z(26)+4=D(4), E(5)+4=I(9). (Result: ZDI, Option shows ZDH - Does not match)

Conclusion

Option 1 is the only triad that consistently follows the "+4" letter shift pattern identified from the examples.