Inside each group, the distances from one letter to the next follow a repeating pattern of unequal steps. ACFH, BDGI, CEHJ and DFIK all show the same sequence of jumps between their letters. From term to term, every letter in a given position moves forward by one, creating four simple vertical sequences across the series. Shifting each letter in DFIK forward by one gives EGJL, which keeps the characteristic internal spacing and extends each of the column sequences, so it is the correct next term.
Option A:
Option A, EGIK, uses letters that look close to the right ones but breaks the established distances between the third and fourth letters. The internal pattern that links the positions is not preserved exactly. Because the spacing inside EGIK does not match that of the previous terms, it cannot be the continuation.
Option B:
Option B, EFJL, alters more than one column and does not arise from adding one to every letter of DFIK. Its letters do not line up properly with the existing vertical progressions. As a result, EFJL is inconsistent with the simple column wise rule that drives the series.
Option C:
Option C is correct because EGJL is obtained by applying the same transformation to DFIK that relates each pair of earlier neighbours. It respects the specific jumps inside each group and the one step advancement in every column. This complete agreement with both components of the pattern makes EGJL the only valid next term.
Option D:
Option D, FGJM, shifts the starting letter too far forward and changes the later letters in a way that no longer matches the earlier spacing pattern. The resulting group would break the smooth development of the series. Therefore FGJM is not a suitable continuation.
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