UGC NET Questions (Paper – 1)

The differences are 7, 15 and 31. Each difference is roughly double the previous one plus 1: 7×2+1 = 15 and 15×2+1 = 31. Continuing this rule, the next difference should be 31×2+1 = 63. Adding 63 to 58 gives 121. Therefore, 121 is the correct next term in the series.

Option A:
Option A is 110, which gives a difference of 52 from 58, not matching the predicted 63. This does not follow the doubling plus one structure. Hence, 110 is not correct.

Option B:
Option B is 118, implying a difference of 60, which again fails to align with 63. It underestimates the expected growth in the differences. Therefore, 118 cannot be accepted.

Option C:
Option C equals 121, which yields the required new difference of 63. The sequence of differences 7, 15, 31, 63 shows a clear pattern where each term is nearly double the previous one plus one. This confirms 121 as the correct answer.

Option D:
Option D is 125, giving a difference of 67. That overshoots the predicted 63 and disrupts the precise doubling-plus-one rule. Thus, 125 is not suitable here.