Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter-cluster.
SUXZ
This question asks us to identify the letter cluster that is different from the other three among the given options: HJNT, PRVB, SUXZ, and MOSY. To solve this type of verbal reasoning problem, we need to look for a pattern or rule that connects the letters within each cluster. Often, the pattern is based on the alphabetical position of the letters or the differences between their positions.
Let's assign a numerical value to each letter based on its position in the English alphabet (A=1, B=2, ..., Z=26) and calculate the difference between consecutive letters in each cluster.
The pattern of differences for HJNT is $+2, +4, +6$.
The pattern of differences for PRVB is $+2, +4, +6$ (considering the wrap-around from V to B).
The pattern of differences for SUXZ is $+2, +3, +2$.
The pattern of differences for MOSY is $+2, +4, +6$.
Let's summarize the patterns of differences we found for each letter cluster:
| Letter Cluster | Pattern of Differences |
|---|---|
| HJNT | $+2, +4, +6$ |
| PRVB | $+2, +4, +6$ (with wrap-around) |
| SUXZ | $+2, +3, +2$ |
| MOSY | $+2, +4, +6$ |
Upon comparing the patterns, we can clearly see that three of the letter clusters (HJNT, PRVB, and MOSY) follow the pattern of differences $+2, +4, +6$. The letter cluster SUXZ follows a different pattern of differences, which is $+2, +3, +2$.
Based on the analysis of the letter positions and the differences between consecutive letters, the letter cluster SUXZ is the one that is different from the other three. It does not follow the same arithmetic progression pattern of differences.
Understanding the differences in letter positions is key to solving odd letter cluster questions.
| Concept | Description | Application in Problem |
|---|---|---|
| Alphabetical Position | Each letter corresponds to a number (A=1, B=2, ...). | Used to get numerical values for H, J, N, T, etc. |
| Difference Calculation | Subtracting the position of the first letter from the second, etc. | Calculated $+2, +4, +6$, etc., for each cluster. |
| Wrap-around Logic | Treating the alphabet as circular (after Z comes A). | Applied for PRVB where B follows V in the sequence. |
| Pattern Identification | Finding a consistent sequence of differences or rules. | Recognized the $+2, +4, +6$ pattern in most clusters. |
| Odd One Out | Identifying the cluster that does not follow the common pattern. | SUXZ was identified as it followed a different pattern. |
Letter series and odd letter cluster questions are common in reasoning sections of competitive exams. They test your ability to observe patterns, apply logical rules, and understand alphabetical sequences. Here are some common types of patterns you might encounter:
Practicing various types of letter series problems helps improve pattern recognition skills, which is crucial for solving these questions efficiently.
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Four letter-clusters have been given, out of which three are alike in some manner, while one is different. Select the odd letter-cluster.
Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the one that is different.
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.