The stability of oxidation states in Group 14 is governed by the inert pair effect, which increases down the group.
For Lead (Pb), the +2 oxidation state is more stable than the +4 state (Pb2+>Pb4+).
In the reaction PbO2+Pb→2PbO, Pb4+ is being reduced to Pb2+ and Pb0 is being oxidized to Pb2+. Since the product contains the more stable oxidation state, the reaction is spontaneous, meaning ΔrG∘(1)<0.
For Tin (Sn), the +4 oxidation state is more stable than the +2 state (Sn4+>Sn2+).
In the reaction SnO2+Sn→2SnO, the stable Sn4+ is being converted into the less stable Sn2+. This process is non-spontaneous, meaning ΔrG∘(2)>0.
Thus, the correct set is ΔrG∘(1)<0 and ΔrG∘(2)>0.