Odd One Out — In the letter groups FUEV, QPSR, VUXW, and YXWV, find the set that does not follow the consistent step pattern in alphabet positions.

Introduction / Context:Letter-sequence classification often relies on fixed positional steps (like -1, +3, -1). Three options share such a pattern; one does not.

Given Data / Assumptions:

• Consider A=1, B=2, ..., Z=26 indexing.
• Options: FUEV, QPSR, VUXW, YXWV.

Concept / Approach:Track successive letter differences for each 4-letter group and compare patterns.

Step-by-Step Solution:QPSR: Q(17) to P(16) = -1; P(16) to S(19) = +3; S(19) to R(18) = -1.VUXW: V(22) to U(21) = -1; U(21) to X(24) = +3; X(24) to W(23) = -1.YXWV: Y(25) to X(24) = -1; X(24) to W(23) = -1; W(23) to V(22) = -1 (monotone -1 each step).FUEV: F(6) to U(21) = +15; U(21) to E(5) = -16; E(5) to V(22) = +17; this does not match -1, +3, -1 or any simple constant-step pattern.

Verification / Alternative check:Two options share -1, +3, -1; one is monotone -1; FUEV alone has large irregular jumps.

Why Other Options Are Wrong:

• QPSR: follows -1, +3, -1.
• VUXW: follows -1, +3, -1.
• YXWV: follows -1 repeatedly; still consistent.

Common Pitfalls:Assuming YXWV must match the same alternation; consistency can be a different but simple rule.

Final Answer:FUEV