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

2. The symmetries of square form a

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

4. If aN={ax|x∈ N} then 3N∩5N=

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

6. The number of subgroups of a group is

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

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

9. A group G is abelian then

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