UGC NET Questions (Paper – 1)

The pattern alternates between multiplying by 2 and adding 1, and multiplying by 2 and subtracting 1. Specifically, 3 × 2 + 1 = 7, 7 × 2 − 1 = 13, 13 × 2 + 1 = 27, 27 × 2 − 1 = 53 and 53 × 2 + 1 = 107. The next step should follow the "×2 − 1" rule. Thus, 107 × 2 − 1 = 214 − 1 = 213, which fits the alternating structure.

Option A:
Option A gives 211, which would correspond to subtracting 3 after doubling and does not follow the precise "minus one" part of the pattern. This breaks the carefully balanced alternation between adding and subtracting 1. Therefore, 211 is not consistent with the rule.

Option B:
Option B yields 213, which is obtained by 107 × 2 − 1 and continues the alternating pattern exactly. The series 3, 7, 13, 27, 53, 107, 213 remains governed by a single, well-defined recursive rule. Hence, 213 is the correct next term.

Option C:
Option C suggests 215, which would require adding 1 after doubling instead of subtracting 1 at this step. That would repeat the previous type of operation and disrupt the alternation. Thus, 215 is not the appropriate continuation.

Option D:
Option D offers 217, which is even further away and would demand a completely different adjustment after doubling. This option ignores the subtle alternation at the heart of the sequence. Therefore, 217 cannot be accepted as correct.

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 with 5, we have 5 + 3 = 8, 8 × 2 = 16, 16 + 3 = 19, 19 × 2 = 38, 38 + 3 = 41 and 41 × 2 = 82. The next operation should be addition by 3. Thus, the next term is 82 + 3 = 85, which continues the alternating pattern exactly.

Option A:
Option A gives 83, which would require adding only 1 to 82 and introduces a new increment not used previously. This breaks the uniform "+3, then ×2" rule. Therefore, 83 is not consistent with the pattern.

Option B:
Option B offers 84, whose difference from 82 is 2, again incompatible with the fixed addition of 3 in the pattern. This makes the series irregular. Hence, 84 cannot be accepted.

Option C:
Option C suggests 87, which requires adding 5 to 82 and does not conform to the standard "+3" step seen throughout. This disrupts the structured alternation. Thus, 87 is not appropriate.

Option D:
Option D yields 85, which is exactly 82 + 3 and matches the next stage of the "+3, then ×2" cycle. The series 5, 8, 16, 19, 38, 41, 82, 85 remains coherent. Therefore, 85 is the correct next term.

The series alternates between multiplying by 3 and adding 1. Starting from 2, we have 2 × 3 = 6, 6 + 1 = 7, 7 × 3 = 21, 21 + 1 = 22, 22 × 3 = 66 and 66 + 1 = 67. The next operation in this alternating pattern is multiplication by 3. Thus, the next term should be 67 × 3 = 201, which maintains the established structure.

Option A:
Option A gives 200, which cannot be obtained by either multiplying by 3 or adding 1 to 67. It introduces a new operation that is not indicated by earlier transitions. Therefore, 200 is not consistent with the observed pattern.

Option B:
Option B yields 201, exactly equal to 67 × 3, and fits the repeated alternation between "×3" and "+1". The series 2, 6, 7, 21, 22, 66, 67, 201 follows one coherent rule throughout. Hence, 201 is the correct next term.

Option C:
Option C suggests 203, which is 136 greater than 67 and does not correspond to either operation used previously. This destroys the recursive clarity of the sequence. Thus, 203 is not the right continuation.

Option D:
Option D offers 205, moving even further away and requiring an even larger and unjustified jump. This is not supported by any step in the existing pattern. Therefore, 205 cannot be regarded as correct.

This series alternates between adding 4 and multiplying by 3. Starting from 1, we have 1 + 4 = 5, 5 × 3 = 15, 15 + 4 = 19, 19 × 3 = 57 and 57 + 4 = 61. Following the same pattern, the next operation must be multiplication by 3. Thus, the next term is 61 × 3 = 183, preserving the alternating structure.

Option A:
Option A gives 181, which would require adding 120 to 61 or applying a different operation that is not indicated by any previous step. This has no relation to the alternating rule. Hence, 181 is not consistent with the pattern.

Option B:
Option B offers 182, which again cannot be produced by either adding 4 or multiplying by 3 to 61. It breaks the carefully maintained alternation of operations. Therefore, 182 is not appropriate.

Option C:
Option C yields 183, exactly equal to 61 × 3 and in full agreement with the "+4, then ×3" pattern. The sequence 1, 5, 15, 19, 57, 61, 183 remains logically coherent. Hence, 183 is the correct next term.

Option D:
Option D suggests 185, which requires adding 124 to 61 or some other arbitrary step, neither of which matches the earlier structure. This makes 185 an invalid continuation.

The series alternates between doubling and adding 2. We have 7×2 = 14, 14+2 = 16, 16×2 = 32, 32+2 = 34 and 34×2 = 68. Following this pattern, the next step should be "+2". Adding 2 to 68 gives 70. Thus, 70 is the correct next term in the alternation.

Option A:
Option A is 66, which would require subtracting 2 from 68 rather than adding. No earlier transition uses subtraction, so this choice violates the pattern. Therefore, 66 is not correct.

Option B:
Option B equals 70 and results from 68+2, preserving the alternation of ×2, +2 operations. The extended series 7, 14, 16, 32, 34, 68, 70 maintains the same structure. Hence, 70 is the valid continuation.

Option C:
Option C is 72, implying an increase of 4 from 68, which would change the "+2" part of the rule. There is no evidence of adding 4 in any previous step, so 72 cannot be accepted.

Option D:
Option D is 76, giving a jump of 8, which would introduce both a new magnitude and operation. This disrupts the clean alternating rule and therefore is not appropriate.

The series follows an alternating pattern of multiplying by 2 and then subtracting 2. Starting from 5, we get 5 × 2 = 10, then 10 − 2 = 8, then 8 × 2 = 16 and then 16 − 2 = 14. Continuing this pattern, the next step after 14 should be to multiply by 2, giving 14 × 2 = 28. This preserves the established alternation of operations.

Option A:
Option A, 18, could arise from adding 4 to 14, but there is no consistent rule of adding 4 in the earlier part of the series. It introduces a new pattern not supported by previous terms.

Option B:
Option B, 20, might seem plausible as adding 6 to 14, yet such an operation is not part of the alternating multiply by 2 and subtract 2 rule evident in the earlier sequence.

Option C:
Option C, 24, equals 16 + 8 or similar combinations but does not correspond to the prescribed alternation of operations applied directly to the preceding term.

Option D:
Option D directly applies the observed pattern, maintaining the multiply by 2 step after a subtract step. It ensures that the structure of alternating operations continues without disruption, making 28 the correct next term.

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.