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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 one that is different.

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
The correct answer is GJM

Analyzing Letter Clusters for Patterns

This question asks us to identify the letter cluster that is different from the other three. To solve this type of question, we usually look for a pattern or rule that applies to three of the letter clusters but not the fourth. Common patterns involve the position of letters in the alphabet, mathematical operations on these positions, or sequences of letters.

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

Examining Alphabetical Positions of Letter Clusters

We assign a numerical value to each letter based on its position in the English alphabet (A=1, B=2, C=3, and so on).

  • BEG: B is the 2nd letter, E is the 5th letter, G is the 7th letter.
  • GJM: G is the 7th letter, J is the 10th letter, M is the 13th letter.
  • TWY: T is the 20th letter, W is the 23rd letter, Y is the 25th letter.
  • LOQ: L is the 12th letter, O is the 15th letter, Q is the 17th letter.

Finding the Pattern in Letter Cluster Differences

Now, let's look at the difference in positions between consecutive letters within each cluster.

  • BEG: From B (2) to E (5), the difference is \(5 - 2 = 3\). From E (5) to G (7), the difference is \(7 - 5 = 2\). The pattern is \(+3, +2\).
  • GJM: From G (7) to J (10), the difference is \(10 - 7 = 3\). From J (10) to M (13), the difference is \(13 - 10 = 3\). The pattern is \(+3, +3\).
  • TWY: From T (20) to W (23), the difference is \(23 - 20 = 3\). From W (23) to Y (25), the difference is \(25 - 23 = 2\). The pattern is \(+3, +2\).
  • LOQ: From L (12) to O (15), the difference is \(15 - 12 = 3\). From O (15) to Q (17), the difference is \(17 - 15 = 2\). The pattern is \(+3, +2\).

Identifying the Different Letter Cluster

By examining the patterns of differences between consecutive letter positions:

  • BEG follows the \(+3, +2\) pattern.
  • TWY follows the \(+3, +2\) pattern.
  • LOQ follows the \(+3, +2\) pattern.
  • GJM follows the \(+3, +3\) pattern.

Three of the letter clusters (BEG, TWY, and LOQ) share the same pattern of differences \(+3\) and \(+2\). The letter cluster GJM has a different pattern of differences, which is \(+3\) and \(+3\).

Therefore, GJM is the letter cluster that is different from the others.

Analysis of Letter Cluster Patterns
Letter Cluster Letter Positions Difference 1st to 2nd Difference 2nd to 3rd Pattern
BEG 2, 5, 7 \(5 - 2 = 3\) \(7 - 5 = 2\) +3, +2
GJM 7, 10, 13 \(10 - 7 = 3\) \(13 - 10 = 3\) +3, +3
TWY 20, 23, 25 \(23 - 20 = 3\) \(25 - 23 = 2\) +3, +2
LOQ 12, 15, 17 \(15 - 12 = 3\) \(17 - 15 = 2\) +3, +2

Based on this analysis, the letter cluster GJM is the one that does not follow the same pattern as the others.

Revision Table: Understanding Letter Series

Letter series and letter cluster questions test your ability to identify patterns in sequences of letters. These patterns can be based on:

  • Alphabetical position (forward or backward).
  • Difference between consecutive letters.
  • Sum or other mathematical operations on positions.
  • Vowel/consonant patterns.
  • Skipping of letters.
  • Combination of patterns.

Additional Information: Strategies for Solving Letter Cluster Questions

Here are some tips for tackling letter cluster or letter series problems:

  • Write down the alphabet with their numerical positions (A=1, B=2, ..., Z=26). This is often very helpful.
  • Look at the difference between consecutive letters in each cluster. Is there a consistent step or pattern of steps?
  • Consider patterns related to vowels (A, E, I, O, U) and consonants.
  • Look for patterns between corresponding letters of different clusters if there are multiple clusters in a sequence.
  • If a pattern isn't immediately obvious, try squaring, cubing, adding constants, or other simple mathematical operations on the letter positions.
  • Practice different types of letter sequence questions to become familiar with common patterns.
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Similar Questions

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