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 is the one that does not belong to that group?
(Note: The odd man out is not based on the number of consonants/vowels or their position in the letter-cluster.)

Question

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 is the one that does not belong to that group?

(Note: The odd man out is not based on the number of consonants/vowels or their position in the letter-cluster.)

Prepp Team · Accepted Answer

Identifying the Odd Letter Cluster Pair

The question asks us to find the letter-cluster pair that does not follow the same logical pattern as the others, based on the English alphabetical order. We need to analyze the relationship between the letters within each pair and between the two parts of each cluster.

Let's assign numerical positions to the letters (A=1, B=2, ..., Z=26).

Analyzing the Letter Cluster Pairs

We will examine each pair based on the following potential pattern observed in the majority:

The difference between the alphabetical positions of the second and first letters in the first cluster (e.g., Y - X in XY) is 4.
The difference between the alphabetical positions of the second and first letters in the second cluster (e.g., W - Z in ZW) is 4.
The difference between the alphabetical positions of the first letter of the second cluster and the first letter of the first cluster (e.g., Z - X) is 5.
The difference between the alphabetical positions of the second letter of the second cluster and the second letter of the first cluster (e.g., W - Y) is 5.

We must use modular arithmetic (wrapping around the alphabet from Z to A) when calculating differences.

Pair 1: RV−WA

R=18, V=22. The difference $V - R = 22 - 18 = 4$.
W=23, A=1. The difference $A - W = (1 + 26) - 23 = 4$.
The shift from R to W is $W - R = 23 - 18 = 5$.
The shift from V to A is $A - V = (1 + 26) - 22 = 5$.
This pair follows the pattern.

Pair 2: PT−UY

P=16, T=20. The difference $T - P = 20 - 16 = 4$.
U=21, Y=25. The difference $Y - U = 25 - 21 = 4$.
The shift from P to U is $U - P = 21 - 16 = 5$.
The shift from T to Y is $Y - T = 25 - 20 = 5$.
This pair follows the pattern.

Pair 3: GK−LP

G=7, K=11. The difference $K - G = 11 - 7 = 4$.
L=12, P=16. The difference $P - L = 16 - 12 = 4$.
The shift from G to L is $L - G = 12 - 7 = 5$.
The shift from K to P is $P - K = 16 - 11 = 5$.
This pair follows the pattern.

Pair 4: EI−IP

E=5, I=9. The difference $I - E = 9 - 5 = 4$. (Matches)
I=9, P=16. The difference $P - I = 16 - 9 = 7$. (Does not match the required difference of 4)
The shift from E to I is $I - E = 9 - 5 = 4$. (Does not match the required shift of 5)
The shift from I to P is $P - I = 16 - 9 = 7$. (Does not match the required shift of 5)
This pair does not follow the established pattern.

Conclusion

The letter-cluster pair EI−IP is the odd one out because it does not adhere to the consistent pattern of internal differences (+4) and inter-cluster shifts (+5) observed in the other three pairs (RV−WA, PT−UY, GK−LP).