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Select the term from among the given options that can replace the question mark (?) in the following series. OJH 20, MHF 25, KFD 35, IDB 55, GBZ 95, ?
EZX 175
EXO 175
YXS 175
EXS 175
EZX 175
Find the letter pattern first (-2 per step) to get EZX, then check the number pattern (+5, +10, +20, +40, +80) to get 175 instantly.
Find the letter pattern first (-2 per step) to get EZX, then check the number pattern (+5, +10, +20, +40, +80) to get 175 instantly.
Analyze First Letter Pattern
O (15) - 2 = M (13); M (13) - 2 = K (11); K (11) - 2 = I (9); I (9) - 2 = G (7); G (7) - 2 = E (5). The first letter is E.
Analyze Second Letter Pattern
J (10) - 2 = H (8); H (8) - 2 = F (6); F (6) - 2 = D (4); D (4) - 2 = B (2); B (2) - 2 = Z (26 in cyclic order). The second letter is Z.
Analyze Third Letter Pattern
H (8) - 2 = F (6); F (6) - 2 = D (4); D (4) - 2 = B (2); B (2) - 2 = Z (26); Z (26) - 2 = X (24). The third letter is X.
Analyze Number Progression
20 + 5 = 25; 25 + 10 = 35; 35 + 20 = 55; 55 + 40 = 95. The added difference doubles each step (+5, +10, +20, +40). Thus, the next addition is +80: 95 + 80 = 175.
B: Incorrect second and third letters (EXO instead of EZX). C: Incorrect first and third letters (YXS instead of EZX). D: Incorrect second letter (EXS instead of EZX).
A is correct because combining the letter transformations (-2 for each position giving EZX) with the doubling difference number pattern (+5, +10, +20, +40, +80 yielding 175) results in EZX 175.
When encountering combined alphanumeric series, analyze the letter positions and number component independently to save time and prevent option confusion.