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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? YRM, PID, GZU, XQL,?
OGC
PHC
OHC
OHB
OHC
Analyze the position changes of each letter independently across consecutive terms. Notice the alternating or constant difference patterns for 1st, 2nd, and 3rd letters.
Analyze the position changes of each letter independently across consecutive terms. Notice the alternating or constant difference patterns for 1st, 2nd, and 3rd letters.
Analyze 1st Letters
The first letters are Y (25), P (16), G (7), X (24). Subtracting 9 each time: 25 - 9 = 16 (P), 16 - 9 = 7 (G), 7 - 9 = -2 equivalent to 24 (X), and 24 - 9 = 15 (O).
Analyze 2nd Letters
The second letters are R (18), I (9), Z (26), Q (17). Subtracting 9 each time: 18 - 9 = 9 (I), 9 - 9 = 0 equivalent to 26 (Z), 26 - 9 = 17 (Q), and 17 - 9 = 8 (H).
Analyze 3rd Letters
The third letters are M (13), D (4), U (21), L (12). Subtracting 9 each time: 13 - 9 = 4 (D), 4 - 9 = -5 equivalent to 21 (U), 21 - 9 = 12 (L), and 12 - 9 = 3 (C).
A: OGC has 'G' instead of 'H' in the second letter position. B: PHC has 'P' instead of 'O' as the first letter. D: OHB has 'B' instead of 'C' as the third letter.
C is correct because applying a consistent -9 shift to each letter of XQL yields OHC.
When alphabet series numbers wrap around A or Z, always convert letters to numbers (A=1 to Z=26) and use modulo 26 arithmetic to avoid counting errors.
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