Consider the following reaction sequence and identify the major product $P$.
$CH_3CH_2OH$ $\xrightarrow[(ii) KMnO_4]{(i) Jones' Reagent}$ $\xrightarrow[(iii) NaOH, CaO, \Delta]{} P$

The relative reactivity of $1^o H$,$2^o H$,and $3^o H$ in bromination reaction has been found to be $1 : 82 : 1600$ respectively. In the reaction $CH_3-CH(CH_3)-CH_3 \text{ (excess)} + Br_2$ $\xrightarrow{hv} CH_3-C(Br)(CH_3)-CH_3 \text{ (A)} + CH_3-CH(CH_3)-CH_2-Br \text{ (B)}$,the percentage yields of the products $(A)$ and $(B)$ are expected to be:

When ethyl iodide and propyl iodide react with $Na$ in the presence of ether,they form

The most important method of preparation of hydrocarbons of lower carbon number is

The correct order of boiling points of the following molecules is:
$(i)$ $n$-Hexane
$(ii)$ $2$-methylpentane
$(iii)$ $2,3$-dimethylbutane

What are $N$ and $M$?