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What should come in place of ? in the given series based on the English alphabetical order? SJT HYI WNX LCM ?
ABR
ARB
ASD
ABS
ARB
Observe the first and third letters of each triplet independently; the first letter follows a -9 or +17 pattern, while the third follows a -12 or +14 cycle.
Observe the first and third letters of each triplet independently; the first letter follows a -9 or +17 pattern, while the third follows a -12 or +14 cycle.
Analyze the first letter of each triplet
Positions: S(19), H(8), W(23), L(12). Transitions: 19 - 11 = 8; 8 + 15 = 23; 23 - 11 = 12; 12 + 15 = 27(mod 26) = A. The sequence is -11, +15, -11, +15.
Analyze the second letter of each triplet
Positions: J(10), Y(25), N(14), C(3). Transitions: 10 + 15 = 25; 25 + 15 = 40(mod 26) = 14; 14 + 15 = 29(mod 26) = 3; 3 + 15 = 18(R). The sequence is +15 consistently.
Analyze the third letter of each triplet
Positions: T(20), I(9), X(24), M(13). Transitions: 20 - 11 = 9; 9 + 15 = 24; 24 - 11 = 13; 13 + 15 = 28(mod 26) = 2(B). The sequence is -11, +15, -11, +15.
A: ABR starts correctly but ends with R(18) instead of B(2). C: ASD is wrong as S(19) and D(4) do not fit the shift patterns. D: ABS uses B(2) in the middle, failing the consistent +15 rule for the second letter.
B is correct because the sequence follows a consistent shift pattern of +15 for the middle letter and alternating shifts of -11 and +15 for the outer letters, leading to ARB.
For alphabetical series, always convert letters to their numerical equivalents (A=1, Z=26) immediately to identify arithmetic progressions.