Step 1: Analyze the core principle mentioned in the question: the mutual repulsion of oil and water. This is the fundamental concept of planographic printing.
Step 2: Evaluate the options.
Lino-cut is a relief printing technique where the non-printing areas are carved away from a linoleum block.
Mezzotint is an intaglio printing technique that creates tones by roughening a metal plate with a tool called a "rocker."
Serigraphy (or screen printing) is a stencil-based technique where ink is forced through a mesh screen onto the substrate.
Lithography is a planographic (flat surface) technique where an image is drawn on a flat stone or plate with a greasy substance (like a crayon). The stone is then wetted, and the water adheres to the non-greasy areas. When oil-based ink is applied, it sticks only to the greasy drawing, repelled by the water. This is a direct application of the "oil and water don't mix" principle.