The objective is to determine which of the provided options is not a religiously significant town. This requires evaluating the religious importance of each location listed:
Varanasi: Recognized as a principal sacred city in India, Varanasi serves as a significant religious center for Hindus.
Puri: Renowned for the Jagannath Temple, Puri is a key pilgrimage destination for Hindus.
Pilani: This town's primary recognition stems from the Birla Institute of Technology and Science (BITS Pilani). It is not classified as a religious town.
Amritsar: As the location of the Golden Temple, Amritsar is a paramount religious site for Sikhs.
Following this assessment, the town identified as NOT religious is Pilani.