Which of the following compounds on heating with potassium permanganate $(KMnO_4)$ and dilute sulphuric acid $(H_2SO_4)$ forms adipic acid?

Rank the following alkenes in order of increasing $\lambda_{max}$:
$(1)$ $A$ conjugated diene in a bicyclic system.
$(2)$ An isolated diene in a bicyclic system.
$(3)$ $A$ conjugated diene in a bicyclic system (different substitution pattern).

The correct statement$(s)$ for the following addition reactions is(are):
$(i)$ $trans-but-2-ene \xrightarrow{Br_2/CHCl_3} M \text{ and } N$
(ii) $cis-but-2-ene \xrightarrow{Br_2/CHCl_3} O \text{ and } P$
[$A$] ($M$ and $O$) and ($N$ and $P$) are two pairs of diastereomers
[$B$] Bromination proceeds through trans-addition in both the reactions
[$C$] $O$ and $P$ are identical molecules
[$D$] ($M$ and $O$) and ($N$ and $P$) are two pairs of enantiomers

In the reaction sequence $CH_3CH = CHCH_3$ $\xrightarrow{O_3} A$ $\xrightarrow{H_2O/Zn} B$,the alkene forms product $B$. What is product $B$?

The reaction of $CH_3-CH=C(CH_3)-CH=CH_2$ with $(1) \ O_3$ followed by $(2) \ H_2O, Zn$ gives which products?

Which reactions are most common in alkenes?