Question 1. A group of order     need not be abelian.

	i)	$4$
	ii)	$25$
	iii)	$31$
	iv)	$36$

Question 2. $9^4\equiv$    $(mod10)$.

	i)	$9$
	ii)	$8$
	iii)	$3$
	iv)	$1$

Question 3. The number of conjugacy classes in the permutation group $S_5$ is     .

	i)	$7$
	ii)	$11$
	iii)	$5$
	iv)	$120$

Question 4.     is a valid class equation of a group.

	i)	$6=1+2+3$
	ii)	$10=1+1+1+2+5$
	iii)	$8=1+1+3+3$
	iv)	$4=1+1+2+2$

Question 5. A unique $p$-Sylow subgroup of a group is     .

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

Question 6. The order of a $2$-Sylow subgroup in the permutation group $S_4$ is     .

	i)	$2$
	ii)	$3$
	iii)	$8$
	iv)	$24$

Question 7. The number of non-isomorphic abelian groups of order $72$ is     .

	i)	$3$
	ii)	$5$
	iii)	$6$
	iv)	$7$

Question 8. If the invariants of a group $G$ of order $32$ are $3,1,1$, then $G$ is     .

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