UGC NET Questions (Paper – 1)

The pattern in the series is that each term is obtained by doubling the previous term and adding 1. Specifically, 3 × 2 + 1 = 7, 7 × 2 + 1 = 15, 15 × 2 + 1 = 31 and 31 × 2 + 1 = 63. Continuing this rule, the next term is 63 × 2 + 1 = 127. Hence, 127 is the only number that preserves the established doubling plus one pattern.

Option A:
Option A, 95, could come from adding 32 to 63, but there is no basis for adding a fixed difference when the earlier transitions are multiplicative with an extra 1. It breaks the observed rule of doubling.

Option B:
Option B applies the same operation used at every step of the series, doubling 63 and then adding 1. This keeps the structure consistent across all terms and therefore correctly predicts the next number.

Option C:
Option C, 125, is close numerically but would require adding 62, again inconsistent with the doubling plus one pattern seen earlier.

Option D:
Option D, 119, might reflect adding 56, but such a jump is not supported by any of the prior steps in the sequence.