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Question

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

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

WZFL

Finding the Odd Letter Cluster

The question asks us to identify the letter cluster that is different from the other three in a given set. This type of problem is common in reasoning and analogy tests, where you need to find a pattern or rule that connects the elements, and then find the one that doesn't follow that rule.

The given letter clusters are:

  • GJOV
  • CFKR
  • SVAH
  • WZFL

Let's examine the relationship between the letters within each cluster. A common method is to look at the positional values of the letters in the English alphabet (A=1, B=2, C=3, ..., Z=26).

We can find the differences between consecutive letters within each cluster, accounting for wrapping around from Z back to A.

Analyzing Letter Clusters Using Positional Values

1. GJOV:

  • G is the 7th letter.
  • J is the 10th letter. (10 - 7 = 3)
  • O is the 15th letter. (15 - 10 = 5)
  • V is the 22nd letter. (22 - 15 = 7)

The differences are +3, +5, +7.

2. CFKR:

  • C is the 3rd letter.
  • F is the 6th letter. (6 - 3 = 3)
  • K is the 11th letter. (11 - 6 = 5)
  • R is the 18th letter. (18 - 11 = 7)

The differences are +3, +5, +7.

3. SVAH:

  • S is the 19th letter.
  • V is the 22nd letter. (22 - 19 = 3)
  • A is the 1st letter. To find the difference from V, we wrap around: (1 + 26) - 22 = 27 - 22 = 5.
  • H is the 8th letter. To find the difference from A, we have 8 - 1 = 7.

The differences are +3, +5, +7 (with wrapping around the alphabet).

4. WZFL:

  • W is the 23rd letter.
  • Z is the 26th letter. (26 - 23 = 3)
  • F is the 6th letter. To find the difference from Z, we wrap around: (6 + 26) - 26 = 32 - 26 = 6.
  • L is the 12th letter. (12 - 6 = 6)

The differences are +3, +6, +6.

Identifying the Pattern and the Odd One Out

Comparing the differences calculated for each cluster:

Cluster1st to 2nd Letter Difference2nd to 3rd Letter Difference3rd to 4th Letter Difference
GJOV+3+5+7
CFKR+3+5+7
SVAH+3+5+7
WZFL+3+6+6


 

The letter clusters GJOV, CFKR, and SVAH all follow the pattern where the differences between consecutive letters' positional values are +3, +5, and +7 respectively (with wrapping around the alphabet where necessary). The letter cluster WZFL follows a different pattern of differences: +3, +6, and +6.

Therefore, WZFL is the odd one out.

Revision Table: Letter Cluster Analysis

ClusterLettersPositional ValuesDifferencesPattern
GJOVG, J, O, V7, 10, 15, 2210-7=3, 15-10=5, 22-15=7+3, +5, +7
CFKRC, F, K, R3, 6, 11, 186-3=3, 11-6=5, 18-11=7+3, +5, +7
SVAHS, V, A, H19, 22, 1, 822-19=3, (1+26)-22=5, 8-1=7+3, +5, +7
WZFLW, Z, F, L23, 26, 6, 1226-23=3, (6+26)-26=6, 12-6=6+3, +6, +6


 

Additional Information: Letter Series Reasoning

Letter series and letter cluster problems are common in aptitude tests. They require you to identify the underlying rule governing the arrangement of letters. This rule can be based on various principles:

  • Positional Values: The numerical position of letters in the alphabet (A=1, B=2, ...).
  • Difference Series: The difference in positional values between consecutive letters follows a pattern (e.g., arithmetic progression, geometric progression, squares, cubes, prime numbers).
  • Skip Patterns: Skipping a fixed or varying number of letters between consecutive terms.
  • Vowel/Consonant Patterns: The arrangement might follow a pattern of vowels and consonants.
  • Reverse Alphabetical Order: The pattern might involve counting backwards from Z.
  • Combinations: The pattern might be a combination of several rules.

When solving such problems, it's helpful to write down the positional values of the letters and look for numerical patterns, especially in the differences between consecutive terms.

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Important Questions from Letter based

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