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# 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.

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

2. A group G is abelian then

3. The symmetries of square form a

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

5. The number of subgroups of a group is

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

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

8. If aN={ax|x∈ N} then 3N∩5N=

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

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