(i) There is a C=O group and a double bond in the structure,

According to the IUPAC rule, numbering will start from the functional group.

The longest chain is found to be of 7 carbon atoms, and there is methyl group on fourth carbon atom and an ethyl group at the 3^rd carbon atom.

The name of the compound is 3-ethyl-4-methyl-5-hepten-2-one.

(ii) The compound is having a 6-membered ring having a double bond i.e cyclohexene and a Nitro group, as the Nitro group is functional group, numbering will start from the carbon to which Nitro group is attached.

Hence, the name of the compound is; 1-nitro-cyclohex-2-ene.