Which of the following represents the common property of artificial silk and cotton?
I. Both are biodegradable.
II. Both are polyesters.
III. Both have cellulose as the monomer.
IV. Both are crease resistant.

Options

A. I and II only
B. III only
C. I and IV only
D. None of these

Explanation

To determine which of the options represents the common property of artificial silk and cotton, let's analyze each statement one by one.

1. **Statement I: Both are biodegradable.**
- Artificial silk (also known as rayon) is semi-synthetic and is not biodegradable. On the other hand, cotton is biodegradable. Therefore, this statement is **not true** for both.

2. **Statement II: Both are polyesters.**
- Artificial silk is not a polyester; it is made from regenerated cellulose. Cotton is also not a polyester; it is a natural fiber made from cellulose. Thus, this statement is **not true** for both.

3. **Statement III: Both have cellulose as the monomer.**
- Cotton is made up of cellulose, which is its monomer. Artificial silk (rayon) is derived from cellulose as well, although it undergoes a chemical process to transform it into a fiber. Therefore, this statement is **true** for both.

4. **Statement IV: Both are crease resistant.**
- Cotton is not crease resistant; it creases easily. Artificial silk has some crease resistance compared to cotton, but it is not entirely crease resistant either. Thus, this statement is **not true** for both.

After evaluating all the statements, we find that **only Statement III** is true for both artificial silk and cotton.

### Final Answer:
**III. Both have cellulose as the monomer.**