The structure of the Hepta-$1, 3$-dien- $5$ -yne is:-

The carbon atom which has the one double bond and two single bond has the hybridisation of ${\mathrm{sp}}^2$. The carbon atom which has the triple bond and one single bond has the $\mathrm{sp}$ hybridisation.

Hence, the number of $\mathrm{sp}$ and ${\mathrm{sp}}^2$ carbon in Hepta-$1, 3$-dien- $5$ -yne, respectively, are $2\&4$.