Which of the following carbocation will show highest number of hyperconjugation structures?

Which of the following is the correct order of stability of carbocation?

$\mathrm{X}$ can be:

The rates ${\mathrm{r}}_1, {\mathrm{r}}_2$ and ${\mathrm{r}}_3$ are in the order:

The increasing order of reactivity of the following isomeric halides with ${\mathrm{AgNO}}_3({\mathrm{H}}_2\mathrm{O}+\mathrm{alcohol})$ is :

What will be the major product of the following reaction?