Step 1: Understanding the oxidation states of lanthanoids.
Lanthanoids typically exhibit a +3 oxidation state, but some elements like cerium can also show +4 oxidation states. Gadolinium, however, exclusively exhibits the +3 oxidation state.
Step 2: Analyzing the options.
(A) Terbium: Terbium primarily exhibits the +3 oxidation state, though it can also exist in other states.
(B) Gadolinium: Gadolinium exclusively shows the +3 oxidation state.
(C) Neodymium: Neodymium generally shows +3 oxidation state but can also show +2 in some compounds.
(D) Cerium: Cerium can show both +3 and +4 oxidation states.
Step 3: Conclusion.
The correct answer is (B) Gadolinium, as it only exhibits the +3 oxidation state.