Which Mughal emperor was a great musician, a great patron of Hindustani Music and was popularly known as Rangila?

Answer: Option C

Muhammad Shah was a great patron of the arts, including musical, cultural and administrative developments. His pen-name was Sada Rangila ("ever joyous") and he is often referred to as "Muhammad Shah Rangila", also sometimes as "Bahadur Shah Rangila" after his grand father Bahadur Shah I.