Question 1. For an element $a$ of a group $G$, $a^{m+n}=$     .

	i)	$a^{mn}$
	ii)	${(a^m)}^n$
	iii)	$a^n{a}^m$
	iv)	none of the other three

Question 2. The inverse of the permutation $(123)$ is     .

	i)	$(123)$
	ii)	$(231)$
	iii)	$(1\frac{1}{2}\frac{1}{3})$
	iv)	$(213)$

Question 3. For a finite abelian groups $H,K$ of a group $G$, $o(HK)o(H\cap K)=$     .

	i)	$o(H)o(K)$
	ii)	$o(H)∕o(K)$
	iii)	$o(H)+o(K)$
	iv)	$o(HK)$

Question 4. In $S_3$ the number of elements in the conjugacy class $C(23)$ is     .

	i)	$1$
	ii)	$2$
	iii)	$3$
	iv)	$6$

Question 5. Total number of conjugacy classes in $S_4$ is     .

	i)	$2$
	ii)	$3$
	iii)	$4$
	iv)	$5$

Question 6. A group of order     is simple.

	i)	$3$
	ii)	$4$
	iii)	$6$
	iv)	$8$

Question 7. A group of order     is abelian.

	i)	$6$
	ii)	$8$
	iii)	$16$
	iv)	$25$

Question 8. There are     nonisomorphic finite abelian groups of order $16$.

	i)	$1$
	ii)	$3$
	iii)	$5$
	iv)	$7$