Question 1. $A(S)$ is non-abelian if and only if $S$ has more than     elements.

	i)	$1$
	ii)	$2$
	iii)	$3$
	iv)	none of these

Question 2. The index of a subgroup of a group of order $12$ cannot be     .

	i)	$2$
	ii)	$3$
	iii)	$4$
	iv)	$9$

Question 3. The number of inner automorphisms of the group $S_3$ is     .

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

Question 4.     cannot be the class equation of a group.

	i)	$1+2+2$
	ii)	$1+2+3$
	iii)	$1+1+1+1$
	iv)	none of these

Question 5. A group of order $20$ cannot be     .

	i)	cyclic
	ii)	simple
	iii)	abelian
	iv)	non-abelian

Question 6. Let $G$ be a group of order $42$. The number of subgroups of $G$ of order $7$ is     .

	i)	$0$
	ii)	$6$
	iii)	$1$
	iv)	$7$

Question 7. The number of non-isomorphic abelian groups of order $64$ is     .

	i)	$11$
	ii)	$7$
	iii)	$5$
	iv)	none of these

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

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