UGC NET Computer Science December 2019 | Question 116

Question 116

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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 a ∈ G such that a ≠ e and a*a=e.
Which of the statements is (are) correct?

1. 1. Only S1,
2. 2. Only S2
3. 3. Both S1 and S2
4. 4. Neither S1 nor S2

Answer : 3. Both S1 and S2

Explanation Question 116

Option 3 is correct answer

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