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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? HKN 7, CFI 13, XAD 19, SVY 25, NQT 31, ?
ILO 37
ILO 36
JLO 37
ILP 37
ILO 37
Look at the numeric series first: 7, 13, 19, 25, 31 (+6 pattern), which directly gives 37 and eliminates option B instantly. Then check the first letter H(8) → C(3) → X(24) → S(19) → N(14) (-5 pattern) to get I(9).
Look at the numeric series first: 7, 13, 19, 25, 31 (+6 pattern), which directly gives 37 and eliminates option B instantly. Then check the first letter H(8) → C(3) → X(24) → S(19) → N(14) (-5 pattern) to get I(9).
Analyze the Number Pattern
The numbers follow a simple addition series: 7 + 6 = 13, 13 + 6 = 19, 19 + 6 = 25, 25 + 6 = 31. Therefore, the next number is 31 + 6 = 37.
Analyze the First Letter Pattern
Convert first letters to positional values: H (8) → C (3) → X (24) → S (19) → N (14). The pattern is subtracting 5 (with cyclic wrap-around from C to X): 8 - 5 = 3 (C), 3 - 5 = 24 (X), 24 - 5 = 19 (S), 19 - 5 = 14 (N). The next letter is 14 - 5 = 9, which corresponds to I.
Analyze the Second and Third Letter Patterns
Second letter: K (11) → F (6) → A (1) → V (22) → Q (17). Subtracting 5 gives 17 - 5 = 12, which is L. Third letter: N (14) → I (9) → D (4) → Y (25) → T (20). Subtracting 5 gives 20 - 5 = 15, which is O.
B: Incorrect because the number term is 36 instead of 37. C: Incorrect because the first letter is J instead of I (+5 pattern applied in reverse or calculation error). D: Incorrect because the third letter is P instead of O.
A is correct because every letter shifts backward by 5 positions (-5 pattern) and the number increases by 6 (+6 pattern), yielding ILO 37.
In alphanumeric series, always solve the easiest component first (usually the number series). This instantly eliminates non-matching options and saves valuable seconds.
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