The major product in the following reaction sequence is:

Match the chemical conversions in List-$I$ with the appropriate reagents in List-$II$ and select the correct answer using the code given below the lists:
List-$I$:
$P$. $tert$-butyl chloride $\rightarrow$ isobutylene
$Q$. Sodium $tert$-butoxide $\rightarrow$ $tert$-butyl ethyl ether
$R$. $1$-methylcyclopentene $\rightarrow$ $1$-methylcyclopentanol
$S$. $1$-methylcyclopentene $\rightarrow$ $2$-methylcyclopentanol (trans-isomer)
List-$II$:
$1$. $(i) \ Hg(OAc)_2; (ii) \ NaBH_4$
$2$. $NaOEt$
$3$. $EtBr$
$4$. $(i) \ BH_3; (ii) \ H_2O_2/NaOH$
Codes: $P \quad Q \quad R \quad S$

Given below are two statements:
Statement $I$: $p$-nitrophenol is more acidic than $m$-nitrophenol and $o$-nitrophenol.
Statement $II$: Ethanol will give immediate turbidity with Lucas reagent.
In the light of the above statements,choose the correct answer from the options given below:

Arrange the following sets of compounds in order of their increasing boiling points:
$(a)$ Pentan$-1-$ol,butan$-1-$ol,butan$-2-$ol,ethanol,propan$-1-$ol,methanol.
$(b)$ Pentan$-1-$ol,$n-$butane,pentanal,ethoxyethane.

Consider the following reaction:
Which response contains all the correct statements about this process?
$1.$ Dehydration
$2.$ $E_2$ mechanism
$3.$ Carbon skeleton migration
$4.$ Most stable alkene will form
$5.$ Single-step reaction

Cyclohexanol and phenol can be distinguished by