Four letter clusters have been given out of which three are alike in some manner, while one is different. Choose the odd one.
JKNQ
Odd One Out: Letter Cluster Analysis
The question requires identifying the letter cluster that doesn't follow the same pattern as the others. We analyze the pattern by looking at the alphabetical positions of the letters.
Analyzing Letter Patterns
Assign numerical values to each letter (A=1, B=2, ..., Z=26). Calculate the difference between consecutive letters in each cluster.
Cluster Comparison Table
| Cluster | Letters | Positions | Difference 1-2 | Difference 2-3 | Difference 3-4 | Pattern |
|---|---|---|---|---|---|---|
| 1. YZBE | Y, Z, B, E | 25, 26, 2, 5 | $26 - 25 = 1$ | $2 - 26 = -24 \equiv 2 \pmod{26}$ (or $26 \rightarrow 1 \rightarrow 2$) |
$5 - 2 = 3$ | +1, +2, +3 |
| 2. DEGJ | D, E, G, J | 4, 5, 7, 10 | $5 - 4 = 1$ | $7 - 5 = 2$ | $10 - 7 = 3$ | +1, +2, +3 |
| 3. JKNQ | J, K, N, Q | 10, 11, 14, 17 | $11 - 10 = 1$ | $14 - 11 = 3$ | $17 - 14 = 3$ | +1, +3, +3 |
| 4. QRTW | Q, R, T, W | 17, 18, 20, 23 | $18 - 17 = 1$ | $20 - 18 = 2$ | $23 - 20 = 3$ | +1, +2, +3 |
Identifying the Different Cluster
Three clusters (YZBE, DEGJ, QRTW) follow a sequential pattern of differences between letters: +1, +2, +3.
The cluster JKNQ has the pattern +1, +3, +3, which is different from the others.
Therefore, JKNQ is the odd one out.
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Important Questions from Classification
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