Question 1. The group     is non-abelian.

	i)	$S_2$
	ii)	$S_3$
	iii)	${\mathbb{Z}}_5$
	iv)	${\mathbb{Z}}_6$

Question 2. For a set $S$ with $3$ elements, the cardinality of $A(S)$ is     .

	i)	$3$
	ii)	$5$
	iii)	$6$
	iv)	$9$

Question 3. The cycle $(1,4,5,7)\in S_7$ does not commute with     .

	i)	$(3,6,5)$
	ii)	$(5,7,1,4)$
	iii)	$(6,2,3)$
	iv)	$(3,6)$

Question 4. A $5$-cycle in $S_7$ is     permutation

	i)	an odd
	ii)	an even
	iii)	not a
	iv)	a trivial

Question 5. Subgroup of order $3$ in the permutation group $S_3$ is     .

	i)	non-abelian
	ii)	not simple
	iii)	normal
	iv)	not unique

Question 6. The order of a $3$-Sylow subgroup in the permutation group $S_9$ is     .

	i)	$4$
	ii)	$9$
	iii)	$27$
	iv)	$81$

Question 7. The number of non-isomorphic abelian groups of order $36$ is     .

	i)	$4$
	ii)	$5$
	iii)	$6$
	iv)	$7$

Question 8. The invariants of a non-cyclic abelian group of order $9$ are     .

	i)	$9$
	ii)	$1,1$
	iii)	$2$
	iv)	$3,3$