The sum of the oxidation states of Mn and N is smallest in Row A and Row D.
Let's do the calculation for each row.
Row A:
and

Oxidation state of Mn in
is +2.
Oxidation state of N in
is 0.
Sum = +2 + 0 = +2
Row B:
and

Oxidation state of Mn in
is +2.
Oxidation state of N in
is +4.
Sum = +2 + +4 = +6
Row C:
and NH4+
Oxidation state of Mn in
is +6.
Oxidation state of N in NH4+ is -3.
Sum = +6 + -3 = +3
Row D:
and

Oxidation state of Mn in
is +3.
Oxidation state of N in
is -1.
Sum = +3 + -1 = +2
Therefore, the sum of the oxidation states of Mn and N is smallest in Row A and Row D.