Each group consists of four letters that are two positions apart inside the alphabet, for example ACEG uses positions 1, 3, 5 and 7. From one group to the next, every letter shifts one step forward: ACEG becomes BDFH, then CEGI, then DFHJ. Applying the same column wise +1 shift again, D becomes E, F becomes G, H becomes I and J becomes K, giving EGIK. Thus EGIK uniquely preserves the regular spacing and advancement.
Option A:
Option A, EFGH, destroys the spacing pattern because the letters are consecutive instead of being two steps apart. It does not arise from adding one to each letter of DFHJ. Since the series is defined by both even spacing and uniform shifting, EFGH does not fit the rule.
Option B:
Option B, EGIJ, starts correctly with E and G but changes the last two letters to I and J. The final letter J is only one step ahead of I instead of two steps ahead of G, breaking the uniform internal differences. Because it fails to keep both the +2 spacing and the consistent shift from DFHJ, EGIJ cannot be the correct answer.
Option C:
Option C, EGHJ, again loses the pattern of equal spacing. The letters E, G, H and J have mixed intervals, and this group is not produced by a simple +1 shift from DFHJ. Even though some letters look close to the expected ones, the underlying structure is not preserved.
Option D:
Option D is correct because E, G, I and K are each exactly one step ahead of D, F, H and J respectively. It keeps the difference of two positions between successive letters inside the group and maintains the same transformation that generated all earlier terms. Therefore EGIK is the logical next term in the series.
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