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Which of the following options should come in place of the question mark (?) in the given series based on the English alphabetical order? HKN, QTW, ZCF, ILO,?
RUX
RTV
QSU
QTW
RUX
Examine each column separately: each letter increases by 6 positions in the alphabet (e.g., H+6=Q, Q+6=Z, Z+6=I, I+6=O, O+6=U).
Examine each column separately: each letter increases by 6 positions in the alphabet (e.g., H+6=Q, Q+6=Z, Z+6=I, I+6=O, O+6=U).
Analyze the pattern of the 1st letters
The 1st letters are H(8), Q(17), Z(26), I(9). The pattern is +9, +9, +9. 8+9=17, 17+9=26, 26+9=35 (35-26=9). Next is 9+9=18, which is R.
Analyze the pattern of the 2nd letters
The 2nd letters are K(11), T(20), C(3), L(12). The pattern is +9, +9, +9. 11+9=20, 20+9=29 (29-26=3), 3+9=12. Next is 12+9=21, which is U.
Analyze the pattern of the 3rd letters
The 3rd letters are N(14), W(23), F(6), O(15). The pattern is +9, +9, +9. 14+9=23, 23+9=32 (32-26=6), 6+9=15. Next is 15+9=24, which is X.
B: RTV is incorrect because the third letter should be X. C: QSU is incorrect because the starting letter should be R. D: QTW is already in the series.
A is correct because the entire series follows a consistent +9 alphabetical increment for each positional letter, resulting in RUX.
For letter series, always convert letters to their numerical positions (1-26) to make finding the arithmetic jump (addition/subtraction) much faster.
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