Let's calculate the oxidation number of all the elements given in the square brackets.
(1) [Mn]2O3, let the oxidation number for Mn be x.
2×x+3×(−2)=0 oxidation number of Mn is +3. [1 mark]
(2) H[N]O3, let the oxidation number for N be x.
+1+x+3×(−2)=0 oxidation number of N is +5. [1 mark]
(3) K[Mn]O4, let the oxidation number for Mn be x.
+1+x+4×(−2)=0 oxidation number of Mn is +7. [1 mark]
(4) H2[C]O3, let the oxidation number for C be x.
2×(+1)+x+3×(−2)=0 oxidation number of C is +4. [1 mark]
So if the elements were to be arranged in increasing order of oxidation number value the correct order is
[Mn]2O3 < H2[C]O3 < H[N]O3 < K[Mn]O4 [1 mark]