Reaction:
- Dimethyl glyoxime (DMG) reacts with nickel chloride (NiCl2) in aqueous solution to form a red precipitate.
- The precipitate is made alkaline by adding ammonium hydroxide (NH4OH) solution.

Determination of the number of Ni-N bonds:
- The red precipitate formed is a complex compound known as nickel dimethylglyoxime, which has the chemical formula [Ni(DMG)2].
- In this complex, each DMG molecule acts as a bidentate ligand, meaning it forms two bonds with the central nickel atom.
- Therefore, the number of Ni-N bonds in the complex can be determined by counting the number of DMG ligands.

Explanation:
1. Dimethyl glyoxime (DMG) is a bidentate ligand:
- DMG has two oxygen atoms that can coordinate with the nickel ion, forming two bonds.
- Each DMG molecule forms two bonds with the nickel ion, acting as a bidentate ligand.

2. Formation of the complex:
- When DMG is added to an aqueous solution of nickel chloride, it forms a complex with the nickel ion.
- The two DMG ligands coordinate with the nickel ion, forming two bonds each.
- As a result, each nickel ion in the solution forms two bonds with DMG ligands, resulting in the formation of the complex [Ni(DMG)2].

3. Alkaline condition:
- The red precipitate obtained after adding ammonium hydroxide (NH4OH) solution is made alkaline.
- This step helps in stabilizing the complex compound [Ni(DMG)2] and enhances the formation of the red precipitate.
- The alkaline condition ensures the complex remains intact and precipitates out of the solution.

4. Number of Ni-N bonds:
- Since each DMG ligand forms two bonds with the nickel ion, the number of Ni-N bonds can be determined by counting the number of DMG ligands.
- In this case, the complex [Ni(DMG)2] is formed, indicating that there are two DMG ligands attached to each nickel ion.
- Therefore, the number of Ni-N bonds in the red precipitate is equal to twice the number of DMG ligands, which is 4.

Conclusion:
- When dimethyl glyoxime is added to an aqueous solution of nickel chloride and made alkaline, a red precipitate of [Ni(DMG)2] is obtained.
- The number of Ni-N bonds in the red precipitate is 4, as each nickel ion forms two bonds with each DMG ligand.