The number of $sp^3$ hybridized carbon atoms in cyclohexene is

The reaction of $1,3$-butadiene with $1$ equivalent of $HBr$ at different temperatures yields products $A$ and $B$. Identify the relationship between $A$ and $B$. The reaction scheme is as follows:
$CH_2=CH-CH=CH_2 + HBr (1 \text{ eq}) \xrightarrow{25^{\circ}C} A$
$CH_2=CH-CH=CH_2 + HBr (1 \text{ eq}) \xrightarrow{-80^{\circ}C} B$

The addition reaction of $1,3$-butadiene with bromine yields ........

Write the main product of the given reactions:
$1$. $CH_3-CH=CH-CH_3 \xrightarrow[cold, Na_2CO_3]{KMnO_4}$
$2$. $2,3-$Dimethylbut$-2-$ene $\xrightarrow{Baeyer\ test}$

Find the major product for the reaction shown below.

Identify the reactions $X$,$Y$,and $Z$ respectively for the conversion of vinylcyclohexane as shown in the figure.