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

Identify the product obtained when alkenes are oxidised with $KMnO_4$ in dil. $H_2SO_4$.

Reaction of one molecule of $HBr$ with one molecule of $1,3-$butadiene at $40\,^{\circ}C$ gives predominantly

What is the product obtained when the compound $CH_3-C(CH_3)=CH-CH_3$ is treated with $KMnO_4$ in the presence of $NaIO_4$?

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R.$
Assertion $A :$ Treatment of bromine water with propene yields $1-$bromopropan$-2-$ol.
Reason $R:$ Attack of water on bromonium ion follows Markovnikov rule and results in $1-$bromopropan$-2-$ol.
In the light of the above statements,choose the most appropriate answer from the options given below:

Identify products $A$ and $B$ in the following reaction sequence:
$1$-methylcyclopentene $\xrightarrow{\text{dil. } KMnO_4, 273 \ K} A$ $\xrightarrow{CrO_3} B$