Solid contains \[{{N}_{2}}{{O}_{5}}\]
(a) ionic
(b) covalent
(c) coordinate covalent
(d) metallic.

Hint: The bonds between a metal and nonmetal are usually ionic. Bonds between non-metal and nonmetal are covalent or coordinate. Bonds between a metal and metal are usually metallic.

Complete step-by-step answer:
Nitrogen and oxygen, both are non-metals. They do not form ionic bonds or metallic bonds together. So, the only possibilities are covalent and coordinate covalent bonds.
The structure of \[{{N}_{2}}{{O}_{5}}\] is as shown below



From the structure, it is clear that each nitrogen is bonded to three oxygen atoms. One oxygen atom is doubly bonded to the nitrogen; the other forms a sigma bond with nitrogen and the third oxygen atom forms a coordinate covalent bond with nitrogen. This leads to a positive charge on nitrogen. One of the oxygen connects the two nitrogen atoms.
Thus, \[{{N}_{2}}{{O}_{5}}\] have both covalent and coordinate covalent bonds. The correct answer for the question is options (b) and (c).

Additional Information: The coordinated covalent bonds are generally polar covalent bonds. These are weak bonds when compared to covalent bonds. They are long bonds with a small degree of charge transfer taking place when a bond is formed. Its preferred mode of dissociation in the gas phase is heterolytic and not homolytic. Complexes are formed by coordination bonds between metals and ligands.

Note: Coordinate covalent bonds occur when the electron pair of one of the atoms is shared with the other. Covalent bond is between in which each electron of the atoms are shared.