Sets, Relations and Functions - Arithmetic Aptitude Questions and Answers

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Some group (G, 0) is known to be abelian. Then which one of the following is TRUE for G ?

g = g-1 for every g ∈ G

g = g² for every g ∈ G

(g o h)²= g²o h² for every g,h ∈ G

G is of finite order

Answer : Option C

Explanation :

(g o h)² = g²o h² for every g,h ∈ G

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