Letter series B D G K P – UGC NET Question

The positions of the letters are B(2), D(4), G(7), K(11) and P(16). The differences are +2, +3, +4 and +5 respectively. The pattern shows that each gap increases by 1, so the next difference should be +6. Adding 6 to 16 gives 22, which corresponds to V. Therefore V is the correct continuation.

Option A:
Option A, U, is at position 21, which is only 5 steps after P. That would repeat the last gap rather than increase it to 6. Since the pattern clearly demands a growing difference, U does not fit the rule.

Option B:
Option B, W, lies at position 23, implying a jump of 7 from P. This overshoots the expected difference and would break the smooth progression of 2, 3, 4, 5, 6. Therefore W cannot be accepted as the next term.

Option C:
Option C is correct because V occupies position 22, giving exactly the required +6 increment. It continues the trend of increasing the gap by one at each step. This strict adherence to the numerical progression of differences makes V the logical answer.

Option D:
Option D, X, at position 24, corresponds to a jump of 8 from P. Such a jump is not consistent with the incremental pattern of the series. As it would disrupt the orderly growth of the differences, X is not a valid continuation.