A 1 litre solution containing `NH_(4)Cl` and `NH_(4)OH` has hydroxide ion ion concentration of `10^-6)` mol//litre. Which of the following hydroxides could be precipitated when the solution is added to 1 litre solution of 0.1 M metal ions? (I) `Ba(OH)_(2)(K_(sp)=5xx10^(-3))` , (II) `Ni(OH)_(2)(K_(sp)=1.6xx10^(-16))` (III) `Mn(OH)_(2) (K_(sp)=2xx10^(-13))` , (IV) `Fe(OH)_(2) (K_(sp)=8xx10^(-16))`