Finding the Odd Letter Pattern

The question asks us to identify the alternative that has a different pattern of letters compared to the others. To solve this, we need to analyze the sequence of letters in each option and determine the positional difference between consecutive letters in the English alphabet.

Analyzing Letter Patterns

Let's look at each option and find the position of each letter (A=1, B=2, ..., Z=26) and the difference between consecutive letters.

• Option 1: DEGJ

  Letter positions: D=4, E=5, G=7, J=10

  Differences:

  • E - D: \(5 - 4 = +1\)
  • G - E: \(7 - 5 = +2\)
  • J - G: \(10 - 7 = +3\)

  Pattern for DEGJ: \(+1, +2, +3\)

• Option 2: LMOR

  Letter positions: L=12, M=13, O=15, R=18

  Differences:

  • M - L: \(13 - 12 = +1\)
  • O - M: \(15 - 13 = +2\)
  • R - O: \(18 - 15 = +3\)

  Pattern for LMOR: \(+1, +2, +3\)

• Option 3: RSUX

  Letter positions: R=18, S=19, U=21, X=24

  Differences:

  • S - R: \(19 - 18 = +1\)
  • U - S: \(21 - 19 = +2\)
  • X - U: \(24 - 21 = +3\)

  Pattern for RSUX: \(+1, +2, +3\)

• Option 4: FGJM

  Letter positions: F=6, G=7, J=10, M=13

  Differences:

  • G - F: \(7 - 6 = +1\)
  • J - G: \(10 - 7 = +3\)
  • M - J: \(13 - 10 = +3\)

  Pattern for FGJM: \(+1, +3, +3\)

Comparing the Patterns

Let's summarize the patterns we found for each option:

Looking at the table, we can see that the first three options (DEGJ, LMOR, and RSUX) follow the same pattern where the difference between consecutive letters increases by one each time (\(+1, +2, +3\)). However, the fourth option (FGJM) follows a different pattern (\(+1, +3, +3\)).

Conclusion: Identifying the Odd Letters

Based on the analysis of the patterns, the sequence FGJM is the odd one out because its letter progression pattern is different from the pattern observed in the other three options.

Revision Table: Letter Pattern Analysis

Understanding letter patterns is a common type of question in verbal and logical reasoning. It often involves looking at the alphabetical position of letters and the differences between them. Key steps include:

• Assign numerical values to letters (A=1, B=2, ...).
• Calculate differences between consecutive letter values.
• Identify the sequence or rule governing these differences.
• Compare the rules across options to find the one that doesn't fit.

Additional Information: Types of Letter Series Patterns

Letter series questions can have various types of patterns, including:

• Alphabetical Order: Letters appear in simple sequential order.
• Skipping Letters: Letters are skipped based on a fixed number (e.g., skipping one letter, two letters, etc.).
• Increasing/Decreasing Differences: The gap between consecutive letters increases or decreases by a fixed amount or follows a mathematical sequence (like \(+1, +2, +3\) in this problem).
• Alternating Patterns: Two different patterns alternate within the series.
• Reverse Alphabetical Order: Letters appear in reverse sequential order.
• Combinations: Patterns involving both letters and numbers.

Practicing different types of letter pattern questions helps in quickly identifying the rule during exams.