UGC NET Questions (Paper – 1)

The first-level differences are 15, 25, 35 and 45. These differences themselves form an arithmetic progression with common difference 10. Thus the next difference should be 55. When 55 is added to the last term 128, we obtain 183, which continues the pattern at both the term level and the difference level.

Option A:
Option A gives 178, which would create a difference of 50 from 128. This would make the sequence of differences 15, 25, 35, 45, 50, where the last increase is 5 rather than 10. Hence 178 breaks the structure of the second-level arithmetic progression.

Option B:
Option B gives 188, corresponding to a difference of 60 from 128. That would yield differences 15, 25, 35, 45, 60, causing the final increment to jump by 15 instead of 10. Therefore 188 does not preserve the consistent behaviour among the gaps.

Option C:
Option C gives 183, leading to a difference of 55 from 128. The differences become 15, 25, 35, 45, 55, a clear arithmetic progression with constant step 10. This perfect alignment with the observed pattern makes 183 the correct next term.

Option D:
Option D gives 193, implying a difference of 65 from 128. This creates an irregular spike in the differences and abandons the neat step of 10 between them. Consequently, 193 is not a valid continuation of the series.

The differences between the terms are 3, 6, 9 and 12. These differences form a simple arithmetic progression where each difference increases by 3. Following this logic, the next difference should be 15. Adding 15 to the last term 40 gives 55, which continues the pattern in a consistent manner.

Option A:
Option A yields 55, which is 15 greater than 40 and extends the difference sequence to 3, 6, 9, 12, 15. This smooth increase by 3 at the second level is exactly what the pattern suggests. Therefore, 55 is the correct next term in the series.

Option B:
Option B gives 53, which corresponds to a difference of 13 and does not match the expected multiple of 3. This breaks the uniform pattern of the differences. Hence, 53 cannot be considered correct.

Option C:
Option C suggests 57, which would produce a difference of 17 from 40, again not a multiple of 3 and out of step with the existing sequence of differences. Thus, 57 is not consistent with the pattern.

Option D:
Option D offers 60, which is 20 more than 40 and introduces a much larger difference than the expected 15. This disrupts the clear second-level arithmetic structure and makes the series irregular. Therefore, 60 is not an appropriate continuation.

The first-level differences are 19, 35, 55 and 79. The second-level differences are 16, 20 and 24, which themselves increase by 4. Continuing this pattern, the next second-level difference should be 28, so the next first-level difference becomes 79+28 = 107. Adding 107 to 199 yields 306, which keeps both levels of the pattern coherent.

Option A:
Option A gives 300, corresponding to a difference of 101 from 199. This would make the second-level differences 16, 20, 24 and 22, breaking the rule that these grow by 4 each time. Thus 300 is not consistent with the established structure.

Option B:
Option B gives 306, implying a difference of 107 from 199. The differences become 19, 35, 55, 79, 107 and the second-level differences are 16, 20, 24, 28. This preserves the steady +4 growth at the second level, so 306 is the correct continuation.

Option C:
Option C gives 310, which corresponds to a difference of 111 from 199. That would produce a second-level jump from 79 to 111 equal to 32, not 28, making the pattern irregular. Hence 310 cannot be accepted.

Option D:
Option D gives 314, yielding a difference of 115 from 199. The last second-level step would become 36, which further disrupts the neat arithmetic progression. Therefore 314 is not a valid next term.

The first-level differences are 9, 13, 17 and 21. These differences form an arithmetic progression with common difference 4. To continue this structure, the next difference should be 25. Adding 25 to the last term 67 gives 92, which maintains the regular growth among the differences.

Option A:
Option A gives 88, implying a difference of 21 from 67. This simply repeats the last difference rather than increasing it, so the progression of gaps 9, 13, 17, 21, 21 breaks the +4 pattern. Therefore 88 is not consistent with the rule.

Option B:
Option B gives 92, corresponding to a difference of 25. The differences become 9, 13, 17, 21, 25, which keep increasing by 4 each time. This perfect second-level arithmetic progression shows that 92 is the correct next term.

Option C:
Option C gives 96, yielding a difference of 29 from 67. The last jump among differences then becomes 8, which is double the expected 4 and disrupts the pattern. Hence 96 cannot be accepted.

Option D:
Option D gives 98, corresponding to a difference of 31 from 67. This further distorts the difference progression and makes the final step too large. Therefore 98 is not a valid continuation.

The first-level differences are 3, 7, 11, 15 and 19. These differences form an arithmetic progression with common difference 4. Following this pattern, the next difference should be 23. Adding 23 to the last term 57 gives 80, so 80 is the next term that keeps both levels of the pattern consistent.

Option A:
Option A gives 76, which corresponds to a difference of 19 from 57. This simply repeats the last difference and leads to difference values 3, 7, 11, 15, 19, 19, breaking the steady increase by 4. Therefore 76 cannot be the correct continuation.

Option B:
Option B gives 80, which implies a difference of 23 from 57. The differences become 3, 7, 11, 15, 19, 23, forming a clean arithmetic progression with step 4. Hence 80 is fully consistent with the structure of the sequence and is the correct answer.

Option C:
Option C gives 82, leading to a difference of 25 from 57. That would make the final increment between differences equal to 6 instead of 4, distorting the neat second-level pattern. Thus 82 is not suitable.

Option D:
Option D gives 84, implying a difference of 27 from 57, which makes the last step among differences equal to 8. This change is too abrupt and inconsistent with the established progression, so 84 cannot be accepted.

The differences are 3, 6, 9 and 12, which themselves increase by 3 each time. The next difference should therefore be 15. Adding 15 to the last term 31 gives 46. Thus, 46 is the correct next term that continues the pattern of adding multiples of 3.

Option A:
Option A is 42, which would give a difference of 11 from 31. This does not match the expected next difference of 15. Therefore, 42 is inconsistent with the difference pattern.

Option B:
Option B is 44, producing a difference of 13, which also fails to align with the +3 sequence in the differences. It introduces an odd increment without justification. Hence, 44 cannot be accepted.

Option C:
Option C equals 46 and yields a difference of 15, precisely continuing the 3, 6, 9, 12 sequence. The extended difference list 3, 6, 9, 12, 15 is fully consistent, confirming 46 as the correct answer.

Option D:
Option D is 48, which leads to a difference of 17 from 31. This value has no place in the pattern of differences and therefore breaks the structure. So, 48 is not suitable.

The differences between consecutive terms are 11, 17, 23 and 29. These differences themselves form an arithmetic progression with common difference 6. Therefore the next difference should be 35. Adding 35 to the last term 85 gives 120, which maintains the constant step of 6 at the second level.

Option A:
Option A gives 116, implying a difference of 31 from 85. This would make the final increase between differences equal to 2 instead of 6, producing 11, 17, 23, 29, 31. Hence 116 does not preserve the consistent second-level arithmetic structure.

Option B:
Option B gives 120, implying a difference of 35 from 85. The difference sequence becomes 11, 17, 23, 29, 35, showing a uniform increment of 6 between gaps. This alignment at both levels makes 120 the correct next term.

Option C:
Option C gives 124, yielding a difference of 39 from 85. That would make the last jump among differences equal to 10, which distorts the pattern of adding 6 each time. Therefore 124 is not suitable.

Option D:
Option D gives 128, corresponding to a difference of 43 from 85. This further enlarges the final increment and deviates even more from the expected value. Thus 128 cannot be considered the correct continuation.

The consecutive differences are 15, 25, 35 and 45. These differences form an arithmetic progression with common difference 10. Therefore the next difference should be 55. Adding 55 to the last term 124 gives 179, so 179 continues the series while preserving the same second-level arithmetic pattern.

Option A:
Option A gives 172, implying a difference of 48 from 124. This would make the final increment among differences equal to 3 instead of 10, turning the pattern 15, 25, 35, 45, 48 into an irregular sequence. Hence 172 is not appropriate.

Option B:
Option B gives 176, corresponding to a difference of 52 from 124. The second-level jump from 45 to 52 becomes 7, which again fails to match the consistent step of 10. Therefore 176 does not respect the underlying structure.

Option C:
Option C gives 179, yielding a difference of 55 from 124. The difference sequence becomes 15, 25, 35, 45, 55, showing a constant increment of 10 throughout. This strong internal cohesion means that 179 is the correct next term.

Option D:
Option D gives 184, which implies a difference of 60 from 124. The final increase among differences would then be 15, which is larger than the previous constant step and breaks the pattern. Thus 184 cannot be accepted.

The consecutive differences are 12, 18, 24 and 30. These differences form an arithmetic progression with common difference 6. Therefore the next difference should be 36. Adding 36 to the last term 93 gives 129, so 129 continues the series in line with the observed second-level pattern.

Option A:
Option A gives 123, which implies a difference of 30 from 93. That would repeat the last difference and make the sequence of gaps 12, 18, 24, 30, 30, breaking the steady increment by 6. Thus 123 is not appropriate.

Option B:
Option B gives 126, corresponding to a difference of 33 from 93. In that case the last increase among differences would be only 3, not 6, distorting the structure. Therefore 126 does not fit the rule.

Option C:
Option C gives 129, implying a difference of 36 from 93. The difference sequence becomes 12, 18, 24, 30, 36, a clean arithmetic progression with constant step 6. This strong internal consistency makes 129 the correct next term.

Option D:
Option D gives 132, leading to a difference of 39 from 93. That makes the last increment among differences equal to 9, which is incompatible with the constant step of 6. Hence 132 cannot be accepted.

The differences between consecutive terms are 1, 2, 3, 4 and 5. These differences increase by 1 at each step, forming a simple arithmetic sequence. To continue this pattern, the next difference should be 6. Adding 6 to the last term 18 yields 18 + 6 = 24. This ensures that the growth at the level of differences remains smooth and systematic.

Option A:
Option A gives 22, which corresponds to a difference of 4 from 18 and repeats an earlier increment instead of moving to 6. This disrupts the steadily increasing sequence of differences. Therefore, 22 is not consistent with the pattern.

Option B:
Option B offers 23, giving a difference of 5, which again has already appeared in the series and fails to advance the difference pattern to 6. Thus, 23 cannot be accepted as correct.

Option C:
Option C yields 24, which is 6 more than 18 and extends the differences to 1, 2, 3, 4, 5, 6 in order. This maintains a clear and logical structure at the second level. Hence, 24 is the correct next term.

Option D:
Option D suggests 25, creating a difference of 7 from 18 and jumping beyond the expected increment. This makes the difference progression irregular. Therefore, 25 is not a valid continuation.

The first-level differences are 13, 21, 29 and 37. These differences form an arithmetic progression with common difference 8. To keep this structure, the next difference should be 45. Adding 45 to the last term 107 gives 152, so 152 continues both the original sequence and the pattern among the differences.

Option A:
Option A gives 148, which corresponds to a difference of 41 from 107. This would produce differences 13, 21, 29, 37, 41, making the last increment among gaps equal to 4 instead of 8. Thus 148 does not respect the observed second-level behaviour.

Option B:
Option B gives 150, implying a difference of 43 from 107. The final step among differences would be 6, which still fails to match the constant increment of 8. Hence 150 does not align with the pattern.

Option C:
Option C gives 152, which implies a difference of 45 from 107. The sequence of differences becomes 13, 21, 29, 37, 45 and the increments remain 8 throughout. This perfect consistency at the second level makes 152 the correct next term.

Option D:
Option D gives 154, yielding a difference of 47 from 107. That would make the last increment among differences equal to 10, breaking the simple arithmetic progression. Therefore 154 is not a valid continuation.

The consecutive differences are 7, 13, 19 and 25. These form an arithmetic progression with common difference 6. To maintain this structure, the next difference should be 31. Adding 31 to the last term 67 gives 98, so 98 is the term that continues both the original series and the progression among the gaps.

Option A:
Option A gives 94, which implies a difference of 27 from 67. This would turn the sequence of differences into 7, 13, 19, 25, 27, where the last increase is only 2 rather than 6. That breaks the consistent second-level behaviour, so 94 is not appropriate.

Option B:
Option B gives 98, corresponding to a difference of 31 from 67. This extends the differences to 7, 13, 19, 25, 31, where each increase is exactly 6. Because this respects the pattern at both levels, 98 is the correct next term.

Option C:
Option C gives 96, leading to a difference of 29 from 67. This would produce differences 7, 13, 19, 25, 29, with the last increment equal to 4 instead of 6. Therefore 96 does not align with the established rule.

Option D:
Option D gives 100, which yields a difference of 33 from 67. That would make the final increment among differences equal to 8, again breaking the uniform step of 6. Hence 100 cannot be the valid continuation of the series.

The first-level differences are 7, 13, 21 and 31. The second-level differences are 6, 8 and 10, which increase by 2 each time. Continuing this pattern, the next second-level difference should be 12, so the next first-level difference becomes 31 + 12 = 43. Adding 43 to the last term 76 gives 119, making 119 the only value that preserves the consistent second-level arithmetic structure.

Option A:
Option A gives 119, which fits the calculated first-level difference of 43 and keeps the second-level differences as 6, 8, 10, 12. This maintains a neat progression where the growth of the gaps is itself arithmetic. Because both layers of the pattern remain intact, 119 is the correct continuation of the series.

Option B:
Option B gives 115, which would imply a difference of 39 from 76. That would make the second-level differences 6, 8, 10 and 8, breaking the steady increase by 2 and introducing an inconsistency. Hence 115 does not follow the underlying logic of the sequence.

Option C:
Option C gives 123, corresponding to a difference of 47 from 76. This would yield second-level differences 6, 8, 10 and 16, which jumps too sharply and does not respect the +2 progression. Therefore 123 cannot be accepted as the next term.

Option D:
Option D gives 127, leading to a difference of 51 from 76. The resulting second-level differences become 6, 8, 10 and 20, distorting the smooth pattern of increase. Thus 127 is not compatible with the observed structure of the series.

The differences between successive terms are 2, 3, 4 and 5, increasing by 1 each time. The next difference should therefore be 6. Adding 6 to 18 gives 24. Thus, 24 is the correct next term that extends the pattern of gradually increasing differences.

Option A:
Option A is 22, which yields a difference of 4 from 18, repeating an earlier step instead of moving to 6. This breaks the consistent growth of the differences. Hence, 22 is not correct.

Option B:
Option B is 23, corresponding to a difference of 5 from 18. Although 5 appears earlier, the structure demands 6 next, not another 5. Therefore, 23 is unsuitable.

Option C:
Option C is 25, giving a difference of 7 from 18. That jumps beyond the expected increase of 6 and disrupts the smooth progression of 2, 3, 4, 5, 6. Hence, 25 does not fit.

Option D:
Option D equals 24, producing the required difference of 6. The resulting difference sequence 2, 3, 4, 5, 6 is perfectly coherent. This makes 24 the correct continuation.

The differences between consecutive terms are 9, 13, 17 and 21. These differences form an arithmetic sequence increasing by 4 each time. Continuing this rule, the next difference should be 25. Adding 25 to the last term 65 gives 90, which fits perfectly with the established pattern. Thus, 90 is the term that correctly continues the series.

Option A:
Option A gives 90, which is 25 more than 65 and retains the difference progression 9, 13, 17, 21, 25. This keeps the second-level pattern of increasing differences completely intact. Therefore, 90 is the most appropriate choice for the next term in the series.

Option B:
Option B provides 88, which corresponds to a difference of 23 from 65 and does not match the expected increase of 4 in the difference sequence. Using 23 would break the systematic growth in the differences. Hence, 88 is not consistent with the observed pattern.

Option C:
Option C suggests 92, implying a difference of 27 from 65, which overshoots the expected next difference of 25. This disrupts the neat arithmetic progression in the differences. Therefore, 92 cannot be regarded as the correct continuation.

Option D:
Option D proposes 94, giving a difference of 29 from 65, moving even further away from the expected 25. Such a jump fails to respect the structure of the series and makes the pattern irregular. Thus, 94 is not a valid answer.