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Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? FIS38, RUE70, DGQ102, PSC134, ?
BEO166
BOW165
BOQ166
BOE166
BEO166
Analyze the three character slots and the number separately. The 1st and 3rd letters follow a forward jump, the middle letter is constant, and the number increases by 32.
Analyze the three character slots and the number separately. The 1st and 3rd letters follow a forward jump, the middle letter is constant, and the number increases by 32.
Analyze 1st and 3rd Letters
Each letter moves forward by 12 positions: F(6)+12=18(R), R(18)+12=30(4/D), D(4)+12=16(P), P(16)+12=28(2/B). Similarly, S(19)+12=31(5/E), E(5)+12=17(Q), Q(17)+12=29(3/C), C(3)+12=15(O).
Analyze the Number
The numbers follow a constant arithmetic progression: 38, 38+32=70, 70+32=102, 102+32=134, 134+32=166.
Analyze the 2nd Letter
The sequence follows the fixed pattern of 2nd letters I, U, G, S... based on the cycle, the next letter is E.
B) BOW165 is incorrect due to wrong letters and number; C) BOQ166 is incorrect due to the 3rd letter mismatch; D) BOE166 is incorrect due to the 2nd/3rd letter position mismatch.
A is correct because the 1st/3rd letters advance by 12 steps, the middle letter follows the cyclic pattern of the series, and the number adds 32 consistently.
In alphanumeric series, always split the cluster into individual components (letters vs numbers) and test the arithmetic gap for numbers first as it is usually the easiest constraint to solve.
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