Within each group the jumps between letters follow a specific pattern of unequal steps. ACFJ uses one distance between the first pair of letters and a larger one between the next pairs, and the same structure appears in BDGK, CEHL and DFIM. From one group to the next, every letter moves forward by one position in the alphabet, so the columns each form a simple sequence. Shifting every letter in DFIM forward by one gives EGJN, which keeps the same internal spacing while extending each column, so it is the correct next term.
Option A:
Option A, EGIN, starts with the right two letters but then changes the internal differences between the later letters. The progression from G to I to N no longer matches the jumps used inside the earlier groups. Because it distorts the internal pattern, EGIN cannot be the next term in this series.
Option B:
Option B is correct because EGJN is obtained by adding one to each letter of DFIM and at the same time preserves the unequal but consistent gaps between positions. The first letters move from A to D to E in order and the other columns also extend cleanly. This combination of column wise advancement and preserved internal structure shows that EGJN properly continues the sequence.
Option C:
Option C, FHKO, moves the starting letter two steps ahead of D and disrupts the simple one step growth across the first column. It also alters the spacing between inner letters so that they no longer mirror the earlier terms. Hence FHKO does not align with the defined pattern.
Option D:
Option D, EGJO, keeps most letters close but sends the last letter too far ahead, changing the final gap inside the group. This breaks the consistent relation between the third and fourth letters found in ACFJ, BDGK, CEHL and DFIM. Therefore EGJO is not a valid continuation.
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