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Question

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.

The correct answer is

NHDB

Finding the Different Letter Cluster: Odd One Out Reasoning

This type of question asks us to identify the letter cluster that does not follow the same pattern as the other three. The pattern is usually based on the alphabetical positions of the letters or the relationship between consecutive letters within the cluster.

Let's analyze each letter cluster by looking at the alphabetical position of its letters.

Alphabetical Positions of Letters

We assign a numerical value to each letter based on its position in the English alphabet (A=1, B=2, ..., Z=26).

  • NHDB: N is 14, H is 8, D is 4, B is 2
  • PLFH: P is 16, L is 12, F is 6, H is 8
  • ZTJM: Z is 26, T is 20, J is 10, M is 13
  • BXJC: B is 2, X is 24, J is 10, C is 3

Analyzing Differences Between Consecutive Letters

Let's look at the absolute difference in alphabetical position between consecutive letters within each cluster.

Cluster Letter Positions Differences Between Consecutive Letters
NHDB N(14), H(8), D(4), B(2) \(|14 - 8| = 6\), \(|8 - 4| = 4\), \(|4 - 2| = 2\)
PLFH P(16), L(12), F(6), H(8) \(|16 - 12| = 4\), \(|12 - 6| = 6\), \(|6 - 8| = 2\)
ZTJM Z(26), T(20), J(10), M(13) \(|26 - 20| = 6\), \(|20 - 10| = 10\), \(|10 - 13| = 3\)
BXJC B(2), X(24), J(10), C(3) \(|2 - 24| = 22\), \(|24 - 10| = 14\), \(|10 - 3| = 7\)

Identifying the Pattern That Makes One Cluster Different

Now, let's examine the sequences of absolute differences we found:

  • NHDB: 6, 4, 2
  • PLFH: 4, 6, 2
  • ZTJM: 6, 10, 3
  • BXJC: 22, 14, 7

Looking at these sequences, we can see that the differences in the cluster NHDB (6, 4, 2) form a clear pattern: a decreasing sequence where each number is 2 less than the previous one. The differences are decreasing by 2 each time.

Let's check if the other clusters show a similar consistent pattern:

  • In PLFH, the sequence is 4, 6, 2. There isn't a consistent arithmetic progression.
  • In ZTJM, the sequence is 6, 10, 3. There isn't a consistent arithmetic progression.
  • In BXJC, the sequence is 22, 14, 7. There isn't a consistent arithmetic progression.

Therefore, the cluster NHDB is different from the others because the absolute differences between its consecutive letters follow a specific, simple decreasing arithmetic pattern (6, 4, 2), which is not present in the other three clusters.

Conclusion: The Different Letter Cluster

Based on the analysis of the patterns in the differences between consecutive letter positions, the letter-cluster that is different is NHDB.

Revision Table for Letter Cluster Patterns

Letter Cluster Absolute Differences Sequence Pattern Type
NHDB 6, 4, 2 Decreasing Arithmetic Sequence (by 2)
PLFH 4, 6, 2 No simple arithmetic sequence
ZTJM 6, 10, 3 No simple arithmetic sequence
BXJC 22, 14, 7 No simple arithmetic sequence

Additional Information on Letter Series and Analogies

Letter series and letter cluster questions often use patterns based on:

  • Alphabetical Position: Adding or subtracting a fixed number, or a sequence of numbers (like 2, 3, 4 or 1, 2, 3, 4) to the position number of letters.
  • Skipping Letters: A pattern might involve skipping a certain number of letters in the alphabet between consecutive letters in the series or cluster.
  • Vowel/Consonant Patterns: The pattern could be based on the arrangement or number of vowels and consonants.
  • Reverse Alphabetical Order: Sometimes the pattern uses positions counting backward from Z.
  • Combination of Patterns: More complex questions might combine numerical patterns with other types of rules.

Understanding these common pattern types helps in quickly identifying the rule in letter cluster odd-one-out questions.

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Important Questions from Letter based

  1. 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.

  2. Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.

  3. Four letter-clusters have been given, out of which three are alike in some manner, while one is different. Select the odd letter-cluster.

  4. 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.

  5. 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.

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