Block D and F Elements

Given below are two statements:
Statement I: Potassium permanganate on heating at 573 K forms potassium manganate.
Statement II: Both potassium permanganate and potassium manganate are tetrahedral and paramagnetic in nature.
In the light of the above statements, choose the most appropriate answer from the options given below:

The correct electronic configuration and spin - only magnetic moment (BM) of Gd³⁺ (Z = 64), respectively, are:

The oxidation states of transition metal atoms in K₂Cr₂O₇, KMnO₄ and K₂FeO₄, respectively, are x,y and z. The sum of x,y and z is [numerical value].

Consider the following reactions:

$\mathrm{N}\mathrm{a}\mathrm{C}\mathrm{l}+{\mathrm{K}}_2{\mathrm{C}\mathrm{r}}_2{\mathrm{O}}_7+\underset{\text{(Conc.)}}{{\mathrm{H}}_2{\mathrm{S}\mathrm{O}}_4?\left(\mathrm{A}\right)+\text{side products}}$

(A) $+\mathrm{N}\mathrm{a}\mathrm{O}\mathrm{H}$
$\left(\mathrm{B}\right)+$ Side products
(B) $+{\mathrm{H}}_2{\mathrm{S}\mathrm{O}}_4+{\mathrm{H}}_2{\mathrm{O}}_2?($  dilute)
(C) + Side products

The sum of the total number of atoms in one molecule each of $\left(A\right),\left(B\right)$ and $\left(C\right)$  is         

Consider the following reactions:

$\mathrm{N}\mathrm{a}\mathrm{C}\mathrm{l}+{\mathrm{K}}_2{\mathrm{C}\mathrm{r}}_2{\mathrm{O}}_7+\underset{\text{(Conc.)}}{{\mathrm{H}}_2{\mathrm{S}\mathrm{O}}_4?\left(\mathrm{A}\right)+\text{side products}}$

(A) $+\mathrm{N}\mathrm{a}\mathrm{O}\mathrm{H}$
$\left(\mathrm{B}\right)+$ Side products
(B) $+{\mathrm{H}}_2{\mathrm{S}\mathrm{O}}_4+{\mathrm{H}}_2{\mathrm{O}}_2?($  dilute)
(C) + Side products

The sum of the total number of atoms in one molecule each of  and  is         

The atomic radius of $\mathrm{A}\mathrm{g}$ $$ is closest to

Number of electrons present in 4f orbital of Ho³? ion is __________.
(Given atomic number of Ho = 67)

The spin only magnetic moments (in BM) for free Ti³?, V²? and Sc³? ions respectively are
(At. No. Sc: 21; Ti:22; V:23)