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.
WEKP
This question asks us to identify the letter cluster that is different from the other three based on a certain pattern or rule. We are given four letter clusters: FUBY, WEKP, SHOL, and PKRI.
To solve this type of logical reasoning question, we often look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26). Let's list the positional values for the letters in each cluster:
Let's try to find a relationship or pattern among the letters in each cluster. Common patterns involve sums, differences, or products of positional values, or relationships like opposite letters.
Let's consider the sum of the positional values for each letter cluster:
Let's calculate the sum for each cluster:
| Letter Cluster | Letter Positions | Sum of Positions |
|---|---|---|
| FUBY | 6, 21, 2, 25 | \(6 + 21 + 2 + 25 = 54\) |
| WEKP | 23, 5, 11, 16 | \(23 + 5 + 11 + 16 = 55\) |
| SHOL | 19, 8, 15, 12 | \(19 + 8 + 15 + 12 = 54\) |
| PKRI | 16, 11, 18, 9 | \(16 + 11 + 18 + 9 = 54\) |
From the table, we can observe the following sums:
Three of the letter clusters (FUBY, SHOL, and PKRI) have a sum of letter positions equal to 54. The letter cluster WEKP has a sum of letter positions equal to 55, which is different from the others.
Based on the pattern where the sum of the alphabetical positions of the letters in the cluster is consistent, the cluster WEKP is the one that does not follow this pattern. Therefore, WEKP is the different letter cluster.
By analyzing the sum of the positional values of the letters in each cluster, we found that FUBY, SHOL, and PKRI follow the same rule (sum = 54), while WEKP follows a different rule (sum = 55). Thus, the letter-cluster that is different is WEKP.
| Letter Cluster | Letter Positions | Sum of Positions | Pattern Match |
|---|---|---|---|
| FUBY | F(6), U(21), B(2), Y(25) | 54 | Matches (Sum=54) |
| WEKP | W(23), E(5), K(11), P(16) | 55 | Does Not Match (Sum≠54) |
| SHOL | S(19), H(8), O(15), L(12) | 54 | Matches (Sum=54) |
| PKRI | P(16), K(11), R(18), I(9) | 54 | Matches (Sum=54) |
Problems involving letter clusters often appear in logical reasoning and verbal ability tests. Here are some common strategies used to solve them:
Practice with different types of letter series and analogy questions will help you quickly identify the underlying pattern.
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