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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.

AFKP

GKPS

SXCH

JOTY

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

GKPS

Identifying the Odd Letter Cluster

This question asks us to find the letter cluster that is different from the others based on a certain pattern. We are given four letter clusters: AFKP, GKPS, SXCH, and JOTY.

To solve this type of problem, we usually look at the position of each letter in the English alphabet. Let's assign a numerical value to each letter (A=1, B=2, ..., Z=26) and examine the differences between consecutive letters within each cluster.

Analyzing the Patterns in Each Letter Cluster

Letter Cluster: AFKP

  • A is the 1st letter.
  • F is the 6th letter.
  • K is the 11th letter.
  • P is the 16th letter.

Let's find the difference between consecutive letters:

  • F - A: \(6 - 1 = 5\)
  • K - F: \(11 - 6 = 5\)
  • P - K: \(16 - 11 = 5\)

The pattern in AFKP is a difference of +5 between consecutive letters.

Letter Cluster: GKPS

  • G is the 7th letter.
  • K is the 11th letter.
  • P is the 16th letter.
  • S is the 19th letter.

Let's find the difference between consecutive letters:

  • K - G: \(11 - 7 = 4\)
  • P - K: \(16 - 11 = 5\)
  • S - P: \(19 - 16 = 3\)

The pattern in GKPS is +4, +5, +3 between consecutive letters.

Letter Cluster: SXCH

For SXCH, we need to consider wrapping around the alphabet if necessary. The letters are S, X, C, H.

  • S is the 19th letter.
  • X is the 24th letter.
  • C is the 3rd letter (or 29th if we wrap around: 26 + 3).
  • H is the 8th letter (or 34th if we wrap around: 26 + 8).

Let's find the difference between consecutive letters, allowing wrap-around:

  • X - S: \(24 - 19 = 5\)
  • C - X: From X (24) to C (3). \(24 + 5 = 29\). \(29 - 26 = 3\). So, +5.
  • H - C: From C (3) to H (8). \(8 - 3 = 5\). So, +5.

The pattern in SXCH is a difference of +5 between consecutive letters, with wrap-around considered.

Letter Cluster: JOTY

  • 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 consecutive letters:

  • O - J: \(15 - 10 = 5\)
  • T - O: \(20 - 15 = 5\)
  • Y - T: \(25 - 20 = 5\)

The pattern in JOTY is a difference of +5 between consecutive letters.

Comparing the Patterns

Let's summarize the patterns observed in each letter cluster:

Letter Cluster Letter Positions Differences Pattern
AFKP 1, 6, 11, 16 6-1=5, 11-6=5, 16-11=5 +5, +5, +5
GKPS 7, 11, 16, 19 11-7=4, 16-11=5, 19-16=3 +4, +5, +3
SXCH 19, 24, 3 (29), 8 (34) 24-19=5, 29-24=5, 34-29=5 +5, +5, +5 (with wrap)
JOTY 10, 15, 20, 25 15-10=5, 20-15=5, 25-20=5 +5, +5, +5

Three of the four letter clusters (AFKP, SXCH, and JOTY) follow the same pattern where the difference between consecutive letters is +5. The letter cluster GKPS follows a different pattern (+4, +5, +3).

Therefore, GKPS is the odd one out.

Revision Table: Letter Cluster Analysis

Cluster Pattern
AFKP +5, +5, +5
GKPS +4, +5, +3
SXCH +5, +5, +5
JOTY +5, +5, +5

Additional Information: Solving Odd One Out Questions

Odd one out questions often test your ability to identify a common property or pattern shared by most items in a group, and find the item that does not fit that pattern. In letter-based questions, common patterns include:

  • Differences between letter positions (as seen here).
  • Alternating differences or other numerical series.
  • Vowel/consonant patterns.
  • Symmetry of letters.
  • Letters related to a specific category (e.g., only curved letters, letters in a specific word).

It's useful to write down the alphabet with its numerical positions (A=1, B=2, ...) when practicing these types of reasoning problems. Checking multiple possible patterns is key to finding the correct solution.

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Important Questions from Letter based

  1. Identify the odd one from the following.

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