Algebra mcqs test 10

Algebra mcqs test 10 consist of 10 most important multiple choice questions. Prepare these questions for better results and also you can prepare definitions of algebra.

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1. A mapping \Phi : G \rightarrow \rightarrow G' is called homorphism if a, b belongs to G


2. In S_3,a=\begin{pmatrix} 1 & 2 & 3\\ 2& 3 & 1 \end{pmatrix} ,then \,\ a^{-1}=


3. Let G be a group of order 36 and let a belongs to G . The order of a is


4. which binary operation is not defined in the set of natural number


5. Let H,K be the two subgroups of a group G. Then set HK={hk|hH ^ k∈ K} is a subgroup of G if


6. If aN={ax|x∈ N} then 3N∩5N=


7. The number of subgroups of a group is


8. The symmetries of square form a


9. A group G is abelian then


10. Which of the following is the representation of C_4= \left \{1,-1,i,-i \right \}


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