The correct order of rates of addition of $Br_2/\text{water}$ to the following alkenes is:
[$A$] $CH_2=CH_2$
[$B$] $CH_2=CH-NO_2$
[$C$] $CH_3-CH_2-CH=CH_2$
[$D$] $CH_3-CH=CH_2$

$CH_2 = CH_2 \xrightarrow[KOH/H_2O]{KMnO_4} X = ......$

Identify the product $A$ formed when the following compound is treated with $KMnO_4 / H^+$.

Which of the following reagents convert propene to $1-$propanol?

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).

Arrange the following compounds in the order of their reactivity towards electrophilic addition reaction with $HBr$.