Given below are two statements :
Statement (I) : Fusion of \(MnO_2\) with KOH and an oxidising agent gives dark green \(K_2MnO_4\).
Statement (II) : Manganate ion on electrolytic oxidation in alkaline medium gives permanganate ion.
In the light of the above statements, choose the correct answer from the options given below.
(1) Both Statement I and Statement II is true
(2) Both Statement I and Statement II is false
(3) Statement I is true but Statement II is false
(4) Statement I is false but Statement II is true