Algebra mcqs tests 06 - Page 3 of 9

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1. Let G be a cyclic group. Then which of the following is cyclic

center of G

all of these

subgroup of G

homomorphic of G

2. $\Phi : R^{+}\rightarrow R$ is an isomorphism. then for all $x \in R^{+}$ which of the following is true.

$\Phi(x)=tan(x)$

$\Phi(x)=log(x)$

$\Phi(x)=x$

$\Phi(x)=x^2+1$

3. In S4 group of permutation, number of even permutation is

4. In a group of even order there at least ______ elements of order 2.

None

5. Let G be a cyclic group of order 10. The number of subgroups of G is

6. If a group is neither periodic nor torsion free then G is

Free group

symmetric Group

mixed group

infinite group

7. Suppose that n(A)=3 and n(B)=6 then what can be minimum number of elements

8. If n(U)= 700, n(A)=200, n(B)=300 and n(A∩B)=100 then n(A’∩B’)=?

300

240

600

400

9. The group Sn is called

polynomial group of degree n

symmetric group of degree n

None of these

dihidral group of degree n

10. Which of the following is cyclic group