Concept:
CMC (Sodium carboxymethylcellulose) is a common ceramic additive used as a binder, thickener, and suspending agent in glazes and underglazes.
Step 1:
Unlike silica, alumina, or iron, CMC is not a mineral oxide. It is an organic polymer derived from cellulose (plant fiber).
Step 2:
The assertion claims CMC is an "oxide" and that it is "not water soluble." Both of these claims are completely false. It is organic, and its entire purpose in ceramics relies on its ability to dissolve in water. Thus, Assertion A is incorrect.
Step 3:
To use CMC powder, potters typically mix it with warm water. The powder hydrates, swells, and forms a thick, clear, viscous gel, which is then added to liquid glazes to help them stick to pots and prevent the heavy particles from sinking to the bottom of the bucket. Thus, Reason R is correct.
Step 4:
Because the assertion contains fundamental chemical errors while the reason describes standard studio practice accurately, Option 4 is the correct choice.
\[
\boxed{\text{(4) A is not correct but R is correct.}}
\]