Number of paramagnetic ions among the following d- and f-block metal ions is __________.

Mn²⁺, Cu²⁺, Zn²⁺, Yb²⁺, Sc³⁺, La³⁺, Gd³⁺, Lu³⁺, Ti⁴⁺, Ce⁴⁺

(Atomic number of Mn = 25, Cu = 29, Zn = 30, Yb = 70, Sc = 21, La = 57, Gd = 64, Lu = 71, Ti = 22, Ce = 58)

Consider the following reactions sequence

When the product (P) is subjected to Carius analysis using AgNO₃, 1.0 g of the product (P) will produce _________ g of the precipitate of AgBr. (Nearest Integer)

(Given : molar mass in g mol^-1 C : 12, H : 1, O : 16, N : 14, Br : 80, Ag : 108)

Let $\alpha, \beta$ be the roots of the equation $x^2 - 3x + r = 0$, and $\frac{\alpha}{2}, 2\beta$ be the roots of the equation $x^2 + 3x + r = 0$.

If the roots of the equation $x^2 + 6x = m$ are $2\alpha + \beta + 2r$ and $\alpha - 2\beta - \frac{r}{2}$, then $m$ is equal to :

Let the circles $C_1:|z| = r$ and $C_2:|z - 3 - 4i| = 5$, $z \in \mathbb{C}$, be such that $C_2$ lies within $C_1$.
If $z_1$ moves on $C_1$, $z_2$ moves on $C_2$ and $\min |z_1 - z_2| = 2$, then $\max |z_1 - z_2|$ is equal to :