Can we take only questions from textbooks (private publishers)?

We are creating an online question bank for CBSE school teachers to generate question papers online. Can we take questions (only questions) from textbooks of private publishers like RD Sharma, RS Agarwal, HC Verma etc? These questions will be added to our database and teachers can generate question papers using them. The bank includes questions from various sources such as NCERT, Government books, CBSE question papers and some from books by private publishers. The questions will be picked randomly and from the question bank and no question paper will have the question from the single book.