Series Pattern Analysis

The series follows a pattern involving both letters and numbers. We need to identify the logic for both parts.

Letter Pattern Logic

The letters in each cluster shift backward by 5 positions compared to the previous cluster, using cyclic alphabetical order (A=1, Z=26).

• MPW to HKR: M(13)-5=H(8), P(16)-5=K(11), W(23)-5=R(18).
• HKR to CFM: H(8)-5=C(3), K(11)-5=F(6), R(18)-5=M(13).
• CFM to XAH: C(3)-5 $\equiv$ -2 $\equiv$ 24(X), F(6)-5=A(1), M(13)-5=H(8).

Applying this logic to find the letters following XAH:

• X (24) - 5 = 19 $\rightarrow$ S
• A (1) - 5 $\equiv$ -4 $\equiv$ 22 (mod 26) $\rightarrow$ V
• H (8) - 5 = 3 $\rightarrow$ C

The next letter cluster is SVC.

Number Pattern Logic

The numbers in the series decrease by 5 in each step.

• 30 - 5 = 25
• 25 - 5 = 20
• 20 - 5 = 15

Applying this logic to find the number following 15:

• 15 - 5 = 10

The next number is 10.

Determining the Missing Cluster

Combining the derived letter cluster (SVC) and number (10), the complete missing cluster is SVC 10.

Option Verification

Comparing the result with the given options, SVC 10 matches Option C.