The letters occupy positions K(11), L(12), N(14), Q(17) and U(21). The differences are +1, +2, +3 and +4 respectively. This indicates that the gap increases by 1 at each step. The next difference should be +5, so the next position is 21 + 5 = 26, which is Z. Thus Z is the only letter that fits the increasing-gap pattern.
Option A:
Option A, Y, is at position 25, only 4 steps ahead of U. This would repeat the last gap and ignore the required increase to 5. Since the differences are clearly growing, Y cannot be the correct continuation.
Option B:
Option B is correct because Z is exactly 5 positions ahead of U. It continues the sequence of gaps 1, 2, 3, 4, 5 without interruption. This smooth numerical progression confirms Z as the logical next term.
Option C:
Option C, X, lies at position 24, for a gap of 3 from U. This contradicts the established pattern, which never decreases the gap size. Therefore X fails to respect the underlying rule.
Option D:
Option D, W, at position 23, is only 2 positions after U, further reducing the difference. This strongly conflicts with the series’ steadily increasing jumps. Hence W cannot be accepted as the next letter.
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