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.
MPI
Finding the Different Letter Cluster: QSH, MPI, KMN, CEV
In this type of reasoning question, we are given a set of letter clusters and asked to identify the one that does not follow the same pattern as the others. The pattern is usually based on the alphabetical position of the letters.
Analyzing Each Letter Cluster
Let's assign numerical values to each letter based on its position in the English alphabet (A=1, B=2, C=3, ..., Z=26).
| Letter Cluster | Letter Positions | Pattern Analysis |
|---|---|---|
| QSH | Q=17, S=19, H=8 | Difference between 1st and 2nd letter: $19 - 17 = 2$. Let's check other relations: $17+19 \ne 8$, $17+8 \ne 19$, $19-8 \ne 17$. |
| MPI | M=13, P=16, I=9 | Difference between 1st and 2nd letter: $16 - 13 = 3$. Let's check other relations: $13+16 \ne 9$, $13+9 \ne 16$, $16-9 \ne 13$. |
| KMN | K=11, M=13, N=14 | Difference between 1st and 2nd letter: $13 - 11 = 2$. Let's check other relations: $11+13 \ne 14$, $11+14 \ne 13$, $14-13 \ne 11$. |
| CEV | C=3, E=5, V=22 | Difference between 1st and 2nd letter: $5 - 3 = 2$. Let's check other relations: $3+5 \ne 22$, $3+22 \ne 5$, $22-5 \ne 3$. |
Identifying the Pattern
Upon analyzing the differences between the first two letters of each cluster, we observe a consistent pattern:
- QSH: The difference between the positions of the first two letters (S and Q) is $19 - 17 = 2$.
- MPI: The difference between the positions of the first two letters (P and M) is $16 - 13 = 3$.
- KMN: The difference between the positions of the first two letters (M and K) is $13 - 11 = 2$.
- CEV: The difference between the positions of the first two letters (E and C) is $5 - 3 = 2$.
Three of the letter clusters (QSH, KMN, and CEV) show a difference of 2 between the alphabetical positions of their first two letters. The letter cluster MPI shows a difference of 3.
Conclusion
The pattern observed is that the second letter is two positions after the first letter in the alphabet for QSH, KMN, and CEV. In the case of MPI, the second letter is three positions after the first letter.
Therefore, MPI does not follow the same pattern as the other three letter clusters.
Revision Table: Letter Position Differences
| Cluster | 1st Letter Position | 2nd Letter Position | Difference (2nd - 1st) | Pattern |
|---|---|---|---|---|
| QSH | 17 (Q) | 19 (S) | $19 - 17 = 2$ | +2 |
| MPI | 13 (M) | 16 (P) | $16 - 13 = 3$ | +3 |
| KMN | 11 (K) | 13 (M) | $13 - 11 = 2$ | +2 |
| CEV | 3 (C) | 5 (E) | $5 - 3 = 2$ | +2 |
Additional Information: Letter Series Reasoning
Letter series or letter cluster reasoning questions test your ability to identify patterns in sequences of letters. These patterns can be based on various rules, including:
- Alphabetical position (forward or backward).
- Differences or sums of letter positions.
- Skipping a fixed number of letters.
- Vowel or consonant patterns.
- Reverse alphabetical order.
- Combinations of the above.
To solve these problems, it's helpful to know the alphabetical position of each letter and practice identifying different types of patterns.
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