Analyzing Alphabetical Letter Cluster Pairs

This question requires us to identify the relationship between letters in pairs and find the pair that doesn't follow the same logic as the others. We need to look at the order of letters in the English alphabet. Let's assign numerical positions to each letter (A=1, B=2, C=3, ..., Z=26).

Step-by-Step Pair Analysis

Let's examine each given pair of letter clusters:

• Pair 1: TX-RV
  • Cluster TX: T is the 20^th letter and X is the 24^th letter. The difference is \(24 - 20 = 4\).
  • Cluster RV: R is the 18^th letter and V is the 22^nd letter. The difference is \(22 - 18 = 4\).
  • In this pair, the difference between the letters within each cluster is 4.
• Pair 2: SV-MP
  • Cluster SV: S is the 19^th letter and V is the 22^nd letter. The difference is \(22 - 19 = 3\).
  • Cluster MP: M is the 13^th letter and P is the 16^th letter. The difference is \(16 - 13 = 3\).
  • In this pair, the difference between the letters within each cluster is 3.
• Pair 3: AD-UX
  • Cluster AD: A is the 1^st letter and D is the 4^th letter. The difference is \(4 - 1 = 3\).
  • Cluster UX: U is the 21^st letter and X is the 24^th letter. The difference is \(24 - 21 = 3\).
  • In this pair, the difference between the letters within each cluster is 3.
• Pair 4: FI-ZC
  • Cluster FI: F is the 6^th letter and I is the 9^th letter. The difference is \(9 - 6 = 3\).
  • Cluster ZC: Z is the 26^th letter and C is the 3^rd letter. Considering the alphabetical order wraps around (after Z comes A), the difference is \(3 - 26 \pmod{26} = 3\). Alternatively, Z (+1) is A, (+2) is B, (+3) is C. So the difference is 3.
  • In this pair, the difference between the letters within each cluster is 3.

Identifying the Grouping Pattern

By analyzing the differences between the letters within each cluster, we observe the following:

• Pairs SV-MP, AD-UX, and FI-ZC all have a consistent difference of +3 between the letters in their respective clusters.
• The pair TX-RV has a consistent difference of +4 between the letters in its clusters.

Determining the Odd One Out

Since three pairs (SV-MP, AD-UX, FI-ZC) share the common characteristic of having an internal letter difference of +3, while the pair TX-RV has an internal letter difference of +4, the pair TX-RV does not belong to the group.