KCET 2004 Math Solved Paper

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Question : 27 of 60

Marks: +1, -0

Which of the following is true?

The set of all fourth roots of unity is a multiplicative group.
The set of all cube roots of unity is an additive group.
(ab)−1=a−1b−1 for all a,b in any group G.
If (ab)2=a2b2 for all a,b in any group G, then the group G is nonabelian.

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