What is the major product of the following reaction?
(Image of trans$-1,2-$dibromocyclohexane reacting with $NaNH_2$)

Methylcyclopentane $\xrightarrow{Br_2/hv} \mathop{Major}\limits_{(X)}$ $\xrightarrow[KOH/\Delta]{Alcoholic} \mathop{Major}\limits_{(Y)}$ $\xrightarrow[Peroxide]{HBr} \mathop{Major}\limits_{(Z)}$
Major final product $(Z)$ is

What are $X$ and $Y$ respectively in the following sets of reactions?
$I. \ CH_3CH_2CH_2OH \xrightarrow{PBr_3} X$
$II. \ CH_3CH=CH_2 \xrightarrow{HBr, (C_6H_5COO)_2} Y \text{ (major)}$

For the following reaction scheme,percentage yields are given along the arrows. $x \ g$ and $y \ g$ are the masses of $R$ and $U$,respectively. (Molar mass of $H$,$C$,and $O$ are $1$,$12$,and $16 \ g \ mol^{-1}$ respectively). $(1)$ The value of $x$ is $(2)$ The value of $y$ is.

Total number of hydroxyl groups present in a molecule of the major product $P$ is. . . . . . . .

Match the four starting materials $(P, Q, R, S)$ given in List-$I$ with the corresponding reaction schemes $(I, II, III, IV)$ provided in List-$II$ and select the correct answer using the code given below the lists. Codes: $P \quad Q \quad R \quad S$