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

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

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

4. The symmetries of square form a

5. A group G is abelian then

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. The number of subgroups of a group is

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

9. If aN={ax|x∈ N} then 3N∩5N=

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