UGC NET Questions (Paper – 1)

This series alternates between adding 5 and multiplying by 2. Starting from 4 we have 4 + 5 = 9, 9 × 2 = 18, 18 + 5 = 23, 23 × 2 = 46 and 46 + 5 = 51. The next step should therefore apply the multiplication operation. Hence, the next term is 51 × 2 = 102, which follows the established alternation.

Option A:
Option A gives 100, which does not result from either adding 5 or multiplying by 2 to 51. It introduces a new and unsupported operation into the sequence. Therefore, 100 is not compatible with the observed pattern.

Option B:
Option B yields 102, exactly equal to 51 × 2 and in perfect agreement with the alternating "+5, then ×2" rule. The series 4, 9, 18, 23, 46, 51, 102 remains structured and predictable under this rule. Hence, 102 is the correct next term.

Option C:
Option C suggests 104, which cannot be derived from either +5 or ×2 applied to 51. It would force an arbitrary adjustment not present in any earlier step. Thus, 104 is not the correct continuation.

Option D:
Option D presents 106, which is even further from the expected result of 51 × 2. This value does not fit the consistent alternating operations used to build the series. Therefore, 106 must be rejected.

This series alternates between adding 3 and multiplying by 2. Starting from 2, we have 2 + 3 = 5, 5 × 2 = 10, 10 + 3 = 13, 13 × 2 = 26 and 26 + 3 = 29. Following the same alternation, the next operation should be multiplication by 2. Therefore, the next term is 29 × 2 = 58. This continues the alternating rule without any break.

Option A:
Option A yields 58, which honours the exact up–down pattern of "+3, then ×2" seen throughout the series. The extended sequence 2, 5, 10, 13, 26, 29, 58 shows the rule being applied consistently. Hence, 58 is the correct next term.

Option B:
Option B gives 56, which would require adding 27 to 29 or applying a different operation unrelated to the earlier steps. It does not arise from either "+3" or "×2" as used in the pattern. Therefore, 56 is not consistent with the series.

Option C:
Option C suggests 60, requiring an addition of 31 or some new rule not indicated in previous terms. This breaks the elegant alternation between addition and multiplication. Thus, 60 cannot be considered the correct continuation.

Option D:
Option D offers 62, which again does not result from multiplying 29 by 2 or adding 3 to it. It forces a new operation into the series and disrupts the established structure. Hence, 62 is not the right answer.