UGC NET Questions (Paper – 1)

The differences between the terms are 3, 5, 7, 11 and 13. These differences are prime numbers in increasing order. The next prime after 13 is 17. Adding 17 to the last term 41 gives 58. This continues the prime-based difference pattern consistently.

Option A:
Option A gives 56, which yields a difference of 15 from 41 and is not a prime, so it conflicts with the rule that differences are prime numbers. Hence, 56 is not consistent with the underlying structure.

Option B:
Option B yields 58, whose difference from 41 is 17, the next prime expected in the pattern. The extended differences 3, 5, 7, 11, 13, 17 form a coherent prime-based second-level sequence. Therefore, 58 is the correct next term.

Option C:
Option C suggests 60, giving a difference of 19, which is a prime but would skip 17 and break the specific order in which primes are being used here. This leads to an inconsistency in how the differences evolve. Thus, 60 is not the right continuation.

Option D:
Option D offers 62, which results in a difference of 21 from 41, not a prime but a composite number. This choice would discard the key property that defines the pattern. Therefore, 62 cannot be accepted as correct.