Ethylene on reaction with cold, dilute alkaline $\mathrm{KMnO}_4$ at 273 K gives a compound ' $P$ '. This on polymerisation with which of the following gives dacron?
Consider the following sequence of reaction. In ' $Z$ ' the number of $s p^3$ carbons is ' $a$ ' and $s p^2$ carbons is ' $b$ '. Value of $(a+b)$ is

For the alkyne with formula $\mathrm{C}_6 \mathrm{H}_{10}$, the number of alkynes with acidic hydrogens is $x$ and number of alkynes with no acidic hydrogens is $y . x$ and $y$ are respectively
$$ \left(\mathrm{CH}_3\right)_3 \mathrm{CH} \xrightarrow{\mathrm{KMnO}_4} X \xrightarrow[573 \mathrm{~K}]{\mathrm{Cu}} Y $$
The number of $s p^3$ and $s p^2$ carbons in $Y$ are respectively
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