I have noticed some people using the singular noun followed by' one of the /one of my' I would like to point out that the phrase 'one of ' should be followed by plurals and the verb which follows should be singular.
For example: One of my friends is a doctor.
One of the legs of the dog is hurt.
Here are some books. Please select any one of the books.
The condition of one of the patients waiting for the doctor at the clinic has become serious. Please call the ambulance.
One of the pages in the book is missing.