Consider the following statements : S1: If a group (G,*) is of order n, and…

2019

Consider the following statements :
S1: If a group (G,*) is of order n, and a∈G is such that am=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. A.

    Only S1

  2. B.

    Only S2

  3. C.

    Both S1 and S2

  4. D.

    Neither S1 nor S2

Attempted by 56 students.

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Correct answer: C

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