(b)
In basic medium potassium permanganate is reduced to first manganate and than to manganese dioxide (colourless).
$2{KMnO}_{4} + 2KOH\ \longrightarrow 2K_{2}{MnO}_{4} + H_{2}O + O$
$2K_{2}{MnO}_{4} + 2H_{2}O \longrightarrow 2{MnO}_{2}\ + 4KOH\ + 2O$
$2{KMnO}_{4} + H_{2}O\ \longrightarrow 2{MnO}_{2} + 2KOH + 3\lbrack O\rbrack$