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.
ZAEJ
This question asks us to identify the letter cluster that does not follow the same pattern as the other three. We can solve this type of verbal reasoning problem by looking at the positional values of the letters in the English alphabet and finding a relationship or rule between consecutive letters within each cluster.
Let's examine the pattern in each given letter cluster by using the positional value of each letter (A=1, B=2, ..., Z=26). We will look at the difference in positional values between consecutive letters in each cluster.
Let's check the difference between consecutive letters:
The pattern observed in BDHN is adding 2, then 4, then 6 to the positional values: +2, +4, +6.
Let's check the difference between consecutive letters, considering the alphabet wraps around (cyclic):
The pattern observed in ZAEJ is adding 1, then 4, then 5 to the positional values: +1, +4, +5.
Let's check the difference between consecutive letters, considering cyclic nature:
The pattern observed in WYCI is adding 2, then 4, then 6 to the positional values: +2, +4, +6.
Let's check the difference between consecutive letters:
The pattern observed in HJNT is adding 2, then 4, then 6 to the positional values: +2, +4, +6.
Let's summarize the patterns we found:
| Letter Cluster | Pattern (Difference in Positional Value) |
|---|---|
| BDHN | +2, +4, +6 |
| ZAEJ | +1, +4, +5 |
| WYCI | +2, +4, +6 (with cyclic wrap) |
| HJNT | +2, +4, +6 |
Three of the letter clusters (BDHN, WYCI, HJNT) follow the pattern of adding +2, +4, and +6 to the positional values of the letters, with cyclic movement applied when necessary (as seen in WYCI). The letter cluster ZAEJ follows a different pattern of adding +1, +4, and +5.
Therefore, ZAEJ is the letter-cluster that is different from the others.
| Cluster | Letters | Positional Values | Calculation | Pattern |
|---|---|---|---|---|
| BDHN | B, D, H, N | 2, 4, 8, 14 | 4-2=2, 8-4=4, 14-8=6 | +2, +4, +6 |
| ZAEJ | Z, A, E, J | 26, 1, 5, 10 | 1-26 (cyclic) is +1 ($26 \xrightarrow{+1} 1$), 5-1=4, 10-5=5 | +1, +4, +5 |
| WYCI | W, Y, C, I | 23, 25, 3, 9 | 25-23=2, 3-25 (cyclic) is +4 ($25 \xrightarrow{+4} 3$), 9-3=6 | +2, +4, +6 |
| HJNT | H, J, N, T | 8, 10, 14, 20 | 10-8=2, 14-10=4, 20-14=6 | +2, +4, +6 |
Questions involving finding the odd one out among letter clusters or series are common in reasoning tests. They assess your ability to identify patterns and logical sequences. Understanding the different types of patterns is key to solving these problems efficiently.
Common patterns used in letter series and odd one out questions include:
To improve your skills in this area, practice identifying the positional values of letters quickly and systematically test common patterns like arithmetic differences, skipping letters, and cyclic movement.
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