Three letter series with large fixed gaps – UGC NET Question

Each group here has three letters that are equally spaced in the alphabet by the same large distance. In BKT, CLU, DMV and ENW the jump from the first to the second letter and from the second to the third letter is the same in every term, and the starting letters move forward step by step from B to C to D to E. To extend the pattern, the next starting letter must be F and the same fixed distance must be maintained to reach the second and third letters. The only option that begins with F and preserves the equal spacing is FOX, so it is the correct next term.

Option A:
Option A, EOX, has a first letter that does not move forward from ENW and changes the spacing unevenly between the three letters. The second letter is pushed too far ahead, and the differences between letters are no longer identical. Because it violates both the progression of starting letters and the constant gap condition, EOX cannot be the right continuation.

Option B:
Option B is correct because FOX has the same fixed distance between F, O and X as the earlier groups have between their letters. It also respects the simple forward movement of starting letters from B through E to F. By satisfying both the internal and external regularities of the series, FOX uniquely continues the pattern.

Option C:
Option C, GPY, keeps equal spacing between its letters but jumps the starting letter two steps ahead of E instead of one. This disrupts the smooth sequence of starting letters and does not match the rate of change seen across the given groups. Hence GPY is not consistent with the overall pattern of the series.

Option D:
Option D, FNX, starts with the correct letter F but fails to keep the same distance to the second and third letters that the earlier groups use. The internal jumps differ, so the structure of the group no longer mirrors that of BKT, CLU, DMV and ENW. Therefore FNX is not a valid next term.