Based on the English alphabetical order, three of the following four…
2025
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- A.
TU-XV
- B.
NO-RP
- C.
LM-PO
- D.
RS-VT
Attempted by 3 students.
Show answer & explanation
Correct answer: C
CONCEPT: In an alphabet letter-cluster series, each choice pairs two two-letter clusters (e.g., XY-ZW). To find which three pairs share a rule, convert every letter to its position in the alphabet (A=1, B=2, ..., Z=26) and compare, for each pair: (1) the step from the first letter to the second letter of the first cluster, (2) the gap from the first cluster's last letter to the second cluster's first letter, and (3) the step from the first letter to the second letter of the second cluster. The pair whose step values do not match the other three is the one that does not belong to the group.
APPLICATION (step by step):
Convert TU-XV to positions: T=20, U=21, X=24, V=22. First-cluster step T to U = +1. Gap U to X = +3. Second-cluster step X to V = -2 (two places back).
Convert NO-RP to positions: N=14, O=15, R=18, P=16. First-cluster step N to O = +1. Gap O to R = +3. Second-cluster step R to P = -2 (two places back).
Convert LM-PO to positions: L=12, M=13, P=16, O=15. First-cluster step L to M = +1. Gap M to P = +3. Second-cluster step P to O = -1 (only one place back).
Convert RS-VT to positions: R=18, S=19, V=22, T=20. First-cluster step R to S = +1. Gap S to V = +3. Second-cluster step V to T = -2 (two places back).
The three step values compared side by side:
Pair | First-cluster step | Gap to second cluster | Second-cluster step | First-to-last span |
|---|---|---|---|---|
TU-XV | +1 | +3 | -2 | 2 |
NO-RP | +1 | +3 | -2 | 2 |
LM-PO | +1 | +3 | -1 | 3 |
RS-VT | +1 | +3 | -2 | 2 |
CROSS-CHECK: TU-XV, NO-RP, and RS-VT all share the identical rule: first cluster +1, gap +3, second cluster -2. LM-PO's second-cluster step is only -1, so it breaks the shared rule and is the pair that does not belong to the group. As an independent check, using a different quantity: the overall span from each pair's very first letter to its very last letter. TU-XV runs T(20) to V(22), a span of 2. NO-RP runs N(14) to P(16), a span of 2. RS-VT runs R(18) to T(20), a span of 2. But LM-PO runs L(12) to O(15), a span of 3. This alternate computation reaches the same conclusion: LM-PO is the pair that does not fit.