The major product of the following addition reaction is: $CH_3-CH=CH_2 \xrightarrow{Cl_2/H_2O}$

Which of the following alkenes yield $3-$bromo$-3-$methylpentane as the major product upon addition of $HBr$?
$(I)$ $3-$methylpent$-2-$ene
$(II)$ $3-$methylpent$-2-$ene (isomer)
$(III)$ $3-$ethylpent$-1-$ene
$(IV)$ $3-$methylpent$-1-$ene

Given below are two statements:
Statement-$I$:
$trans$-But-$2$-ene upon treatment with $Br_2$ in $CCl_4$ gives the following product:
(Image provided)
Statement-$II$:
$cis$-But-$2$-ene upon treatment with alkaline $KMnO_4$ gives the following product:
(Image provided)
In the light of the above statements, choose the most appropriate answer from the options given below.

Explain the preparation of alkenes by the hydrogenation of alkynes with examples.

The compounds that will give an isomer of $2,2$-dimethylpropane on catalytic hydrogenation are:
$(1)$ $CH_3-CH=C(CH_3)_2$
$(2)$ $CH_3-CH=CH-CH_3$
$(3)$ $CH_3-CH=CH-CH_2-CH_3$
$(4)$ $CH_3-C(CH_3)=C(CH_3)-CH_3$

In the following given reaction,'$A$' is the major product: