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What should come in place of the question mark (?) in the given series based on the English alphabetical order? SJF, ZQM, GXT, NEA, ?
YLH
YLG
ULH
ULG
ULH
Calculate the difference between corresponding letters of consecutive triplets; each letter position (1st, 2nd, and 3rd) follows a constant arithmetic progression of +7 modulo 26.
Calculate the difference between corresponding letters of consecutive triplets; each letter position (1st, 2nd, and 3rd) follows a constant arithmetic progression of +7 modulo 26.
Analyze the first letters
S(19) → Z(26) is +7. Z(26) → G(7) is +7. G(7) → N(14) is +7. N(14) + 7 = 21, which corresponds to U.
Analyze the second letters
J(10) → Q(17) is +7. Q(17) → X(24) is +7. X(24) → E(5) is +7 (24+7=31, 31-26=5). E(5) + 7 = 12, which corresponds to L.
Analyze the third letters
F(6) → M(13) is +7. M(13) → T(20) is +7. T(20) → A(1) is +7 (20+7=27, 27-26=1). A(1) + 7 = 8, which corresponds to H.
A: YLH is incorrect because the first letter must be U, not Y. B: YLG is incorrect because the first letter must be U and the last letter must be H. D: ULG is incorrect because the second letter L is correct, but the third letter must be H, not G.
C is correct because the series follows a consistent +7 increment for each letter position (1st: S → Z → G → N → U, 2nd: J → Q → X → E → L, 3rd: F → M → T → A → H).
When dealing with letter series, always convert letters to their numerical positions (A=1, Z=26) to simplify addition/subtraction, and remember that 27 resets to A.
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