Step 1: Understanding the Question
The question asks for the establishment year of the Indian Library Association (ILA), which is the premier professional body for librarians and library professionals in India.
Step 2: Key Formula or Approach
This is a fact-based question that requires recalling the history of library associations in India.
Step 3: Detailed Explanation
The Indian Library Association (ILA) was founded to promote the library movement and work for the betterment of library services in India.
It was officially established on September 13, 1933, during the First All-India Library Conference held in Calcutta (now Kolkata).
Step 4: Final Answer
The historical records confirm that the ILA was established in 1933. Therefore, Option (B) is the correct answer.