Four letter clusters have been given out of which three are alike in some manner, while one is different. Choose the odd one.
GHJK
Letter Cluster Pattern Identification
The objective is to find the odd letter cluster among the given options by identifying a common pattern shared by three clusters but not the fourth. We need to carefully examine the sequence and spacing between the letters in each cluster.
Alphabetical Letter Positions
To find the pattern, we first determine the numerical position of each letter in the English alphabet (A=1, B=2, C=3, ..., Z=26).
- Cluster 1: RUVX --> R=$18$, U=$21$, V=$22$, X=$24$
- Cluster 2: GHJK --> G=$7$, H=$8$, J=$10$, K=$11$
- Cluster 3: MPQS --> M=$13$, P=$16$, Q=$17$, S=$19$
- Cluster 4: FIJL --> F=$6$, I=$9$, J=$10$, L=$12$
Sequence Differences in Clusters
Next, we calculate the difference in alphabetical positions between consecutive letters within each cluster. This reveals the specific spacing pattern for each group.
- Cluster RUVX:
- The gap between U and R is $21 - 18 = 3$.
- The gap between V and U is $22 - 21 = 1$.
- The gap between X and V is $24 - 22 = 2$.
- Thus, the pattern of differences is $3, 1, 2$.
- Cluster GHJK:
- The gap between H and G is $8 - 7 = 1$.
- The gap between J and H is $10 - 8 = 2$.
- The gap between K and J is $11 - 10 = 1$.
- Thus, the pattern of differences is $1, 2, 1$.
- Cluster MPQS:
- The gap between P and M is $16 - 13 = 3$.
- The gap between Q and P is $17 - 16 = 1$.
- The gap between S and Q is $19 - 17 = 2$.
- Thus, the pattern of differences is $3, 1, 2$.
- Cluster FIJL:
- The gap between I and F is $9 - 6 = 3$.
- The gap between J and I is $10 - 9 = 1$.
- The gap between L and J is $12 - 10 = 2$.
- Thus, the pattern of differences is $3, 1, 2$.
Cluster Pattern Comparison
By comparing the calculated sequences of differences, we can identify the commonality and the outlier:
- The letter clusters RUVX, MPQS, and FIJL all share the same pattern of differences: $+3, +1, +2$.
- The letter cluster GHJK has a distinct pattern of differences: $+1, +2, +1$.
The Odd Cluster Out
The cluster GHJK is the odd one out because it does not conform to the $+3, +1, +2$ interval pattern observed in the other three letter clusters (RUVX, MPQS, FIJL). Its unique pattern is $+1, +2, +1$.
Summary of Cluster Analysis
The table below provides a concise summary of the alphabetical positions and the resulting difference patterns for each cluster:
| Cluster | Alphabetical Positions | Sequence of Differences |
|---|---|---|
| RUVX | R($18$), U($21$), V($22$), X($24$) | $21-18=3$, $22-21=1$, $24-22=2$ (Pattern: $3, 1, 2$) |
| GHJK | G($7$), H($8$), J($10$), K($11$) | $8-7=1$, $10-8=2$, $11-10=1$ (Pattern: $1, 2, 1$) |
| MPQS | M($13$), P($16$), Q($17$), S($19$) | $16-13=3$, $17-16=1$, $19-17=2$ (Pattern: $3, 1, 2$) |
| FIJL | F($6$), I($9$), J($10$), L($12$) | $9-6=3$, $10-9=1$, $12-10=2$ (Pattern: $3, 1, 2$) |
Conclusion: The Different Cluster
Based on the detailed analysis of the sequence patterns formed by the alphabetical positions of the letters, the letter cluster GHJK is identified as the odd one out. It is different because its pattern of intervals between consecutive letters ($+1, +2, +1$) does not match the common pattern ($+3, +1, +2$) found in the other three clusters.
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Important Questions from Classification
For the following questions Find the odd word/letters/number pair from the given alternatives.
For the following questions Find the odd word/letters/number pair from the given alternatives.
For the following questions Find the odd word/letters/number pair from the given alternatives.
- 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 letter-cluster pair DOES NOT belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.) - 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 letter-cluster pair that DOES NOT belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
