Concept: The National Institute of Disaster Management is an important institution in India for training, research, documentation, and capacity building in disaster management.
Step 1: Understanding the institution.
NIDM works in the field of disaster management education, research, policy support, and training.
\[
\text{NIDM} = \text{Training + Research + Capacity building}
\]
Step 2: Understanding the former name.
Before becoming the National Institute of Disaster Management, it was known as the National Centre for Disaster Management.
Step 3: Selecting the correct option.
Among the given options, National Centre for Disaster Management is the correct former name.
Therefore, the correct answer is National Centre for Disaster Management.