The correct answer is: A. Rajendra Prasad
Rajendra Prasad was the President of the Indian National Congress when it constituted the Non-Cooperation Committee in 1920. The Non-Cooperation Committee was formed to organize and coordinate the nationwide protests against British rule. The committee was led by Mahatma Gandhi, and it played a major role in the Indian independence movement.
The other options are incorrect. Muhammad Hassan was a member of the Indian National Congress, but he was not the President when the Non-Cooperation Committee was formed. Lt. Edward Gait was the Governor of Bihar and Orissa at the time, and he had no role in the formation of the Non-Cooperation Committee. Shyam Krishna Sahay was a member of the Indian National Congress, but he was not the President when the Non-Cooperation Committee was formed.