In the following reaction,$P$ gives two products $Q$ and $R$ each in $40 \,\%$ yield. If the reaction is carried out with $420 \,mg$ of $P$,the reaction yields $108.8 \,mg$ of $Q$. The amount of $R$ produced in the reaction is closest to $....\, mg$.

An unknown alkene $(A)$ reacts with $3 \ mole$ of $H_2$ gas in the presence of a platinum catalyst to form $1$-isopropyl-$4$-methylcyclohexane. When the unknown alkene $(A)$ is ozonized and reduced,the following products are obtained:
$HCHO$,$OHC-CH_2-CO-CO-CH_3$,and $CH_3-CO-CH_2-CHO$
What is the structure of alkene $(A)$?

The compounds that will give an isomer of $2,2$-dimethylpropane on catalytic hydrogenation are:
$(1)$ $CH_3-CH=C(CH_3)_2$
$(2)$ $CH_3-CH=CH-CH_3$
$(3)$ $CH_3-CH=CH-CH_2-CH_3$
$(4)$ $CH_3-C(CH_3)=C(CH_3)-CH_3$

An alkene $X$ $(C_4H_8)$ exhibits geometrical isomerism. Oxidation of $X$ with $KMnO_4 | H^+$ gives $Y$. On heating the sodium salt of $Y$ with a mixture of $NaOH$ and $CaO$,$Z$ is obtained. What is $Z$?

Which reaction of ethanol will decolourise bromine water?

Which intermediate is formed during the addition of $HCl$ to propene in the presence of peroxide?