UGC NET Questions (Paper – 1)

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 differences between the terms are 5, 10, 15, 20 and 25. These differences form a sequence of multiples of 5, increasing by 5 each time. The next difference should therefore be 30. Adding 30 to the last term 79 gives 79 + 30 = 109, which respects the established pattern in the differences.

Option A:
Option A gives 104, which is 25 more than 79 and simply repeats the last difference instead of increasing it. This breaks the rule that the increments themselves must grow by 5. Thus, 104 is not consistent with the pattern.

Option B:
Option B offers 107, corresponding to a difference of 28 from 79, which is not a multiple of 5 and does not fit the multiples-of-five structure. Therefore, 107 cannot be accepted as correct.

Option C:
Option C yields 109, which is 30 greater than 79 and continues the sequence of differences 5, 10, 15, 20, 25, 30. This makes the series mathematically coherent. Hence, 109 is the correct next term.

Option D:
Option D suggests 111, giving a difference of 32 from 79, which does not align with the multiples-of-5 pattern. Including 111 would disrupt the clear second-level arithmetic progression. Therefore, 111 is not appropriate.

The differences between terms are 5, 10, 15, 20 and 25. These are multiples of 5 increasing by 5 each time. The next difference should therefore be 30. Adding 30 to the last term 81 gives 81 + 30 = 111, which maintains the clear pattern in the differences.

Option A:
Option A gives 107, corresponding to a difference of 26 from 81, which is not a multiple of 5 and breaks the multiples pattern. Thus, 107 is not consistent with the second-level structure.

Option B:
Option B offers 109, which would produce a difference of 28 from 81, again not a multiple of 5 and unrelated to the previous increments. Therefore, 109 cannot be accepted as correct.

Option C:
Option C yields 111, which is 30 more than 81 and completes the sequence of differences 5, 10, 15, 20, 25, 30. The pattern stays simple and mathematically sound. Hence, 111 is the correct next term.

Option D:
Option D suggests 113, giving a difference of 32 from 81, which neither follows the multiple-of-5 rule nor the linear growth seen earlier. This choice would disrupt the logic of the series. Therefore, 113 is not appropriate.