Finding the Odd Letter Cluster

The question asks us to identify the letter cluster that is different from the other three based on a certain pattern. To solve this type of problem, we usually look at the position of each letter in the English alphabet and the difference or relationship between consecutive letters within the cluster.

Let's assign a numerical value to each letter based on its position in the alphabet (A=1, B=2, C=3, ... Z=26).

Analyzing Letter Clusters

Now, let's examine each letter cluster and see the difference in alphabetical position between consecutive letters:

1. ADBG

• A (1) to D (4): Change = $4 - 1 = +3$
• D (4) to B (2): Change = $2 - 4 = -2$
• B (2) to G (7): Change = $7 - 2 = +5$

The pattern of changes is: +3, -2, +5.

2. CFDI

• C (3) to F (6): Change = $6 - 3 = +3$
• F (6) to D (4): Change = $4 - 6 = -2$
• D (4) to I (9): Change = $9 - 4 = +5$

The pattern of changes is: +3, -2, +5. This is the same pattern as ADBG.

3. TWUZ

• T (20) to W (23): Change = $23 - 20 = +3$
• W (23) to U (21): Change = $21 - 23 = -2$
• U (21) to Z (26): Change = $26 - 21 = +5$

The pattern of changes is: +3, -2, +5. This is the same pattern as ADBG and CFDI.

4. ILJQ

• I (9) to L (12): Change = $12 - 9 = +3$
• L (12) to J (10): Change = $10 - 12 = -2$
• J (10) to Q (17): Change = $17 - 10 = +7$

The pattern of changes is: +3, -2, +7. This pattern is different from the others because the last change is +7 instead of +5.

Identifying the Odd One Out Letter Cluster

Based on the analysis, three of the letter clusters (ADBG, CFDI, TWUZ) follow the same pattern of alphabetical position changes: +3, -2, +5. The letter cluster ILJQ follows a different pattern: +3, -2, +7. Therefore, ILJQ is the odd one out.

Revision Table: Letter Cluster Patterns

Additional Information: Letter Series and Patterns

Letter series questions often involve finding the rule or pattern governing a sequence of letters or letter clusters. Common patterns include:

• Consecutive letters in the alphabet (forward or backward).
• Skipping letters at regular intervals (e.g., skipping one letter, then two letters, etc.).
• Differences in alphabetical position following an arithmetic or geometric progression.
• Patterns based on vowels and consonants.
• Reversing letter positions from the end of the alphabet (e.g., Z=1, Y=2).
• Combinations of these rules.

Careful observation and systematic checking of possible patterns, starting with simple ones like sequential differences, is key to solving letter series and letter cluster problems.