UGC NET Questions (Paper – 1)

Statements A, B, D and E are correct standard number-theoretic facts: even integers are divisible by 2, primes greater than 2 are odd, divisibility by 6 implies divisibility by both 2 and 3 and divisibility tests accelerate factor checking in exams. Statement C is false because a composite number has more than two positive divisors, whereas having exactly two is the defining feature of a prime. Therefore, the combination containing A, B, D and E only is correct.

Option A:
Option A is incomplete because it omits E, thereby ignoring the important exam-oriented point that divisibility rules are employed to solve questions quickly. Without E, the applied angle of the topic is underrepresented.

Option B:
Option B is correct as it includes all true statements while leaving out C, which reverses the definition of composite and prime numbers. It aligns with the basic arithmetic knowledge expected at UGC NET level.

Option C:
Option C is wrong because it includes C, the incorrect statement about composites having exactly two divisors, and omits A, a correct definition of even numbers. This combination thus mixes error with omission.

Option D:
Option D is incorrect as it accepts C along with true statements and omits B, failing to state that primes greater than 2 are odd. The presence of C again makes the option unacceptable.