The colloidal particles can pass through:
a) filter paper as well as animal membrane
b) Animal membrane but not filter paper
c) Filter paper but not animal membrane
d) Neither filter paper nor animal membrane

Hint: A collide particle has dimensions ranging from nanometre and micrometer, it's an intermediate state where the particles are neither precipitated( or sedimented) nor dissolved completely in the solution.

Complete step by step solution:
Let's understand where do these particles come from, Colloidal particles are a part of the Colloidal solution. A Colloidal solution consists of two parts dispersed phase( or colloidal particle) and dispersion medium ( where the colloidal particles are uniformly spread. For eg: In a starch solution starch is the colloidal particle and water is the dispersion medium).
Due to its smaller size, colloidal particles cannot be seen by our naked eyes, they are small enough to easily pass through a filter paper, but their size is to be big to pass through the tiny pores present in an animal membrane,

Hence, the answer is C i.e., Filter paper but not Animal membrane.

Additional information: Dispersed phase: The particles that are dispersed uniformly throughout a substance(dispersion medium).
Dispersion medium: The medium in which the particles are being dispersed uniformly.
Another example of Colloidal solution is, mud solution, where the soil is the dispersed phase and water is the dispersion medium.

Note: There is a term called membrane filter which acts as a barrier to separate contaminants from water. Reverse osmosis, ultra-filtration, and nanofiltration all use a membrane in their different filtration processes.