This is a numerical-answer question. The correct answer is shown below.
[Solution by Dr. Abubacker] Dimethylglyoxime is C₄H₈N₂O₂ (8 H). In the red Ni(DMG)₂ complex each ligand loses one H⁺ (the enolic O–H), so the complex Ni(C₄H₇N₂O₂)₂ contains 2 × 7 = 14 hydrogen atoms. Answer: 14.