Question Type: General Knowledge/History

This question tests your knowledge of Indian history and the figures who played important roles in the socio-religious reform movements of the 19th century. It specifically focuses on the establishment of Vedanta College in Calcutta.

Step-by-Step Solution:

• The question asks who founded the Vedanta College in Calcutta to promote both Indian and Western learning.
• Among the options provided, Raja Ram Mohan Roy is known for his significant contribution to the socio-religious reform movement in India. He was a key figure in advocating for the fusion of Indian and Western knowledge.
• While other figures like Debendranath Tagore, Swami Vivekananda, and Ishwar Chandra Vidyasagar were also influential, they are not directly associated with the founding of Vedanta College in Calcutta.

Correct Answer: Rammohan Roy

Eliminating Incorrect Options:

• Debendranath Tagore: Known for his contributions to Brahmo Samaj, not directly linked to Vedanta College.
• Swami Vivekananda: A prominent figure in the dissemination of Vedanta philosophy globally, but not the founder of Vedanta College.
• Ishwar Chandra Vidyasagar: A notable social reformer and educationist, but not associated with the founding of this particular college.