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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.

This question was previously asked in
SSC Stenographer 2020-21 Previous Year Paper (15-Nov-2021) (Shift 2)
The correct answer is

DJOTY

Finding the Different Letter Cluster

In this type of question, we are given a set of letter clusters and need to identify the one that doesn't follow the same pattern as the others. The pattern usually involves the positional values of the letters in the English alphabet.

Let's analyze each letter cluster by looking at the position of each letter in the alphabet (A=1, B=2, C=3, ..., Z=26).

Analyzing Letter Cluster Patterns

1. Cluster: DJOTY

  • D is the 4th letter.
  • J is the 10th letter.
  • O is the 15th letter.
  • T is the 20th letter.
  • Y is the 25th letter.

Let's find the difference between the positions of consecutive letters:

  • J - D: $10 - 4 = 6$
  • O - J: $15 - 10 = 5$
  • T - O: $20 - 15 = 5$
  • Y - T: $25 - 20 = 5$

The pattern for DJOTY is a difference of +6, followed by +5, +5, and +5.

2. Cluster: CHMRW

  • C is the 3rd letter.
  • H is the 8th letter.
  • M is the 13th letter.
  • R is the 18th letter.
  • W is the 23rd letter.

Let's find the difference between the positions of consecutive letters:

  • H - C: $8 - 3 = 5$
  • M - H: $13 - 8 = 5$
  • R - M: $18 - 13 = 5$
  • W - R: $23 - 18 = 5$

The pattern for CHMRW is a consistent difference of +5 between consecutive letters.

3. Cluster: DINSX

  • D is the 4th letter.
  • I is the 9th letter.
  • N is the 14th letter.
  • S is the 19th letter.
  • X is the 24th letter.

Let's find the difference between the positions of consecutive letters:

  • I - D: $9 - 4 = 5$
  • N - I: $14 - 9 = 5$
  • S - N: $19 - 14 = 5$
  • X - S: $24 - 19 = 5$

The pattern for DINSX is a consistent difference of +5 between consecutive letters.

4. Cluster: BGLQV

  • B is the 2nd letter.
  • G is the 7th letter.
  • L is the 12th letter.
  • Q is the 17th letter.
  • V is the 22nd letter.

Let's find the difference between the positions of consecutive letters:

  • G - B: $7 - 2 = 5$
  • L - G: $12 - 7 = 5$
  • Q - L: $17 - 12 = 5$
  • V - Q: $22 - 17 = 5$

The pattern for BGLQV is a consistent difference of +5 between consecutive letters.

Comparing the Patterns

Let's summarize the patterns we found for each letter cluster:

Cluster Letter Positions Differences Pattern
DJOTY 4, 10, 15, 20, 25 $10-4=6$, $15-10=5$, $20-15=5$, $25-20=5$ +6, +5, +5, +5
CHMRW 3, 8, 13, 18, 23 $8-3=5$, $13-8=5$, $18-13=5$, $23-18=5$ +5, +5, +5, +5
DINSX 4, 9, 14, 19, 24 $9-4=5$, $14-9=5$, $19-14=5$, $24-19=5$ +5, +5, +5, +5
BGLQV 2, 7, 12, 17, 22 $7-2=5$, $12-7=5$, $17-12=5$, $22-17=5$ +5, +5, +5, +5

Observing the patterns, we see that CHMRW, DINSX, and BGLQV all follow a consistent pattern where the difference between consecutive letter positions is always +5. However, the cluster DJOTY follows a different pattern, starting with a difference of +6 followed by +5 for the rest of the letters.

Conclusion

Based on the pattern analysis, the letter cluster that is different from the others is DJOTY because the differences in letter positions are +6, +5, +5, +5, whereas in the other three clusters the differences are consistently +5, +5, +5, +5.

Revision Table: Letter Cluster Analysis

Cluster Pattern of Differences Different?
DJOTY +6, +5, +5, +5 Yes
CHMRW +5, +5, +5, +5 No
DINSX +5, +5, +5, +5 No
BGLQV +5, +5, +5, +5 No

Additional Information on Letter Series Reasoning

Letter series and letter cluster questions are common in logical reasoning tests. They assess your ability to identify patterns based on sequences, positions, or other characteristics of letters. Here are some common types of patterns:

  • Positional Differences: As seen in this problem, the pattern is based on the numerical position of letters in the alphabet and the differences between consecutive letters.
  • Alphabetical Order: Patterns might follow forward or backward sequences, skipping letters.
  • Vowel/Consonant Patterns: The pattern could be based on the arrangement of vowels and consonants.
  • Symmetrical Patterns: The series might be arranged symmetrically.
  • Combination of Patterns: Sometimes, a series might involve more than one type of pattern, like alternating differences or combining positional shifts with other rules.

Solving these problems often requires familiarity with the alphabet's order and practice in spotting different types of sequences and progressions.

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Important Questions from Letter based

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