Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the letter-cluster that is different.

Question

Prepp Team · Accepted Answer

Finding the Different Letter Cluster: An Odd One Out Reasoning Question

In this type of reasoning question, we are given a set of letter clusters, and we need to find the one that does not follow the same pattern as the others. To solve this, we often look at the positional values of the letters in the English alphabet.

Analyzing Letter Clusters by Positional Value

Let's assign numerical values to each letter based on its position in the alphabet (A=1, B=2, ..., Z=26).

Letter Cluster	Letters	Positional Values
PUB	P, U, B	16, 21, 2
TYE	T, Y, E	20, 25, 5
NSY	N, S, Y	14, 19, 25
LQW	L, Q, W	12, 17, 23

Identifying the Pattern in Letter Clusters

Now, let's examine the difference between the positional values of consecutive letters within each cluster. We will consider wrapping around the alphabet if needed (e.g., after Z comes A, so a difference from Y to E would involve adding 26 to E's value or subtracting from Y's value relative to E).

TYE:
- From T to Y: $25 - 20 = 5$. This is a difference of +5.
- From Y to E: Y is 25, E is 5. Moving forward from Y, 25 + 6 = 31. In the alphabet, 31 corresponds to the 5th letter (31 - 26 = 5), which is E. This is a difference of +6 (with wrap-around).
- Pattern for TYE: +5, +6
NSY:
- From N to S: $19 - 14 = 5$. This is a difference of +5.
- From S to Y: $25 - 19 = 6$. This is a difference of +6.
- Pattern for NSY: +5, +6
LQW:
- From L to Q: $17 - 12 = 5$. This is a difference of +5.
- From Q to W: $23 - 17 = 6$. This is a difference of +6.
- Pattern for LQW: +5, +6
PUB:
- From P to U: $21 - 16 = 5$. This is a difference of +5.
- From U to B: U is 21, B is 2. Moving forward from U, 21 + 6 = 27. In the alphabet, 27 corresponds to the 1st letter (27 - 26 = 1), which is A, not B. To get to B (value 2), the difference is $21 + 7 = 28$. In the alphabet, 28 corresponds to the 2nd letter (28 - 26 = 2), which is B. This is a difference of +7 (with wrap-around).
- Pattern for PUB: +5, +7

Conclusion: Identifying the Different Cluster

Observing the patterns derived from the positional values:

TYE follows the pattern (+5, +6).
NSY follows the pattern (+5, +6).
LQW follows the pattern (+5, +6).
PUB follows the pattern (+5, +7).

All letter clusters except PUB follow the pattern of adding 5 to the first letter's position to get the second letter's position, and adding 6 (with wrap-around) to the second letter's position to get the third letter's position. PUB is different because the difference between the second and third letter is +7 instead of +6.

Therefore, the letter-cluster that is different is PUB.

Revision Table: Summary of Patterns

Letter Cluster	Positional Values	Difference 1st to 2nd	Difference 2nd to 3rd (with wrap)	Pattern
PUB	16, 21, 2	$21 - 16 = +5$	$2 \text{ (B)} - 21 \text{ (U)} \implies 21 + \textbf{7} = 28 \equiv 2$	+5, +7
TYE	20, 25, 5	$25 - 20 = +5$	$5 \text{ (E)} - 25 \text{ (Y)} \implies 25 + \textbf{6} = 31 \equiv 5$	+5, +6
NSY	14, 19, 25	$19 - 14 = +5$	$25 \text{ (Y)} - 19 \text{ (S)} = \textbf{6}$	+5, +6
LQW	12, 17, 23	$17 - 12 = +5$	$23 \text{ (W)} - 17 \text{ (Q)} = \textbf{6}$	+5, +6

Additional Information on Letter Series Reasoning

Letter series and letter cluster reasoning questions are common in logical reasoning tests. They test your ability to identify patterns based on:

Positional values of letters (like in this problem).
Skip patterns (e.g., skipping one letter, two letters, etc.).
Vowel and consonant arrangements.
Reversing the alphabet sequence.
Combinations of numbers and letters.
Mirror images or symmetry (less common in simple letter clusters).

Practicing with positional values and calculating differences, including wrap-around from Z to A, is crucial for solving such odd-one-out problems efficiently.