Analyzing Letter Clusters to Find the Odd One Out

This question requires us to identify the letter cluster that does not follow the same pattern as the others. We need to examine the relationship between consecutive letters within each cluster presented in the options.

Letter Cluster Pattern Analysis

Let's break down each letter cluster and determine the pattern based on the alphabetical positions of the letters:

Cluster 1: DGJM

• D is the 4th letter, G is the 7th. The difference is 7 - 4 = 3.
• G is the 7th letter, J is the 10th. The difference is 10 - 7 = 3.
• J is the 10th letter, M is the 13th. The difference is 13 - 10 = 3.
• Pattern: Each subsequent letter is obtained by moving 3 positions forward in the alphabet ( D +3 G +3 J +3 M ).

Cluster 2: NQTW

• N is the 14th letter, Q is the 17th. The difference is 17 - 14 = 3.
• Q is the 17th letter, T is the 20th. The difference is 20 - 17 = 3.
• T is the 20th letter, W is the 23rd. The difference is 23 - 20 = 3.
• Pattern: Each subsequent letter is obtained by moving 3 positions forward in the alphabet ( N +3 Q +3 T +3 W ).

Cluster 3: TWZC

• T is the 20th letter, W is the 23rd. The difference is 23 - 20 = 3.
• W is the 23rd letter, Z is the 26th. The difference is 26 - 23 = 3.
• Z is the 26th letter, C is the 3rd. The difference is 3 - 26 = -23, or moving forward 3 steps (Z -> A -> B -> C), which is +3 considering the wrap-around nature of the alphabet.
• Pattern: Each subsequent letter is obtained by moving 3 positions forward in the alphabet ( T +3 W +3 Z +3 C ).

Cluster 4: HIJK

• H is the 8th letter, I is the 9th. The difference is 9 - 8 = 1.
• I is the 9th letter, J is the 10th. The difference is 10 - 9 = 1.
• J is the 10th letter, K is the 11th. The difference is 11 - 10 = 1.
• Pattern: Each subsequent letter is obtained by moving 1 position forward in the alphabet ( H +1 I +1 J +1 K ).

Identifying the Odd Cluster

By comparing the patterns identified above:

• Clusters DGJM, NQTW, and TWZC all share the same pattern: consecutive letters with a positional difference of +3.
• Cluster HIJK follows a different pattern: consecutive letters with a positional difference of +1.

Therefore, the cluster HIJK is the odd one out because it does not follow the +3 positional difference pattern seen in the other three clusters.