Question 7675 – UGC-NET DEC-2019 Part-2

Consider the following statements:
S₁: If a group (G,*) is of order n, and a ∈ G is such that a^m = e for some integer m ≤ n, then m must
divide n.
S₂: If a group (G,*) is of even order , then there must be an element and a ∈ G is such that a ≠ e and
a * a = e.

Which of the statements is (are) correct?

Correct Answer: C