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Select the letter-cluster from among the given options that can replace the question mark (?) in the following series. GEC BZX WUS RPN ?
MIK
MKI
MJK
MKJ
MKI
Observe the first and last letters of each cluster. The first letter decreases by 4, and the last letter decreases by 8 in each step.
Observe the first and last letters of each cluster. The first letter decreases by 4, and the last letter decreases by 8 in each step.
Analyze 1st Letter Pattern
G(7) - 4 = C(3); C(3) тЖТ W(23) [7-4=3, 3-4= -1, 26-1=25? No, let us re-verify: G(7), C(3), W(23), R(18). 7-4=3(C), 3-4=25(Y) - Wait, the pattern is: G(7) тЖТ C(3)=-4, C(3) тЖТ W(23)=-6, W(23) тЖТ R(18)=-5. Let us look at the full pattern again: GEC, BZX, WUS, RPN. G(7),B(2),W(23),R(18). Differences: 7 тЖТ 2 (-5), 2 тЖТ 23 (-5), 23 тЖТ 18 (-5). Yes, the 1st letter decreases by 5 consistently.
Analyze 2nd & 3rd Letter Patterns
2nd: E(5), Z(26), U(21), P(16). 5 тЖТ 26 (-5), 26 тЖТ 21 (-5), 21 тЖТ 16 (-5). Consistently -5. 3rd: C(3), X(24), S(19), N(14). 3 тЖТ 24 (-5), 24 тЖТ 19 (-5), 19 тЖТ 14 (-5). Consistently -5. Applying -5 to RPN: R-5=M, P-5=K, N-5=I. Result: MKI.
A: MIK is incorrect as the sequence order is M-K-I, not M-I-K. C: MJK is incorrect due to the J shift. D: MKJ is incorrect because the 3rd letter must be I.
B is correct because the series follows a consistent pattern where each letter in the cluster shifts back by 5 positions in the alphabet (R-5=M, P-5=K, N-5=I).
For letter-cluster series, always map letters to their numerical positions (A=1, Z=26) immediately to identify the arithmetic progression quickly.
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