Which of the following organisation launched the 'Shuddhi movement'?

The correct answer is Option 2 - Arya Samaj

Movement by Arya Samaj to bring back to the Hindu fold those who had recently converted to Islam was called Shuddhi Movement.

Arya Samaj- A North Indian Hindu reform organisation of the late nineteenth and early twentieth centuries, particularly active in the Punjab,  which sought to revive Vedic learning and combine it with modern education in the sciences. It started the Shudhi Movement which aimed to bring back to the Hindu fold those who had recently converted to Islam.