Explanation:

The Home Rule Movement was the Indian response to the First World War in a less charged but a more effective way than the response of Indians living abroad which took the form of the romantic Ghadr adventure.
Two Indian Home Rule Leagues were organised on the lines of the Irish Home Rule Leagues and they represented the emergence of a new trend of aggressive politics.

Statement 1 is correct: The Home Rule agitation was later joined by Motilal Nehru, Jawaharlal Nehru, Bhulabhai Desai, Chittaranjan Das, Madan Mohan Malaviya, Mohammad Ali Jinnah, Tej Bahadur Sapru and Lala Lajpat Rai. Some of these leaders became heads of local branches. Many of the Moderate Congressmen who were disillusioned with Congress inactivity and some members of Gokhale’s Servants of India Society also joined the agitation.

Statement 2 is incorrect. Tilak’s League had six branches and Besant’s League had 200 branches.

Statement 3 is correct. Annie Besant set up her league in September 1916. It had 200 branches, was loosely organised as compared to Tilak’s League and had George Arundale as the organising secretary.

Statement 4 is correct. The government came down with severe repression, especially in Madras where the students were prohibited from attending political meetings. In June 1917, Annie Besant and her associates, B.P. Wadia and George Arundale, were arrested. This invited nationwide protest. In a dramatic gesture, Sir S. Subramaniya Aiyar renounced his knighthood while Tilak advocated a programme of passive resistance.

The Home Rule League Programme:

• The League campaign aimed to convey to the common man the message of home rule as self-government.
• The aim was to be achieved by promoting political education and discussion through public meetings, organising libraries and reading rooms containing books on national politics, holding conferences, organising classes for students on politics, carrying out propaganda through newspapers, pamphlets, posters, illustrated postcards, plays, religious songs, etc., collecting funds, organising social work, and participating in local government activities.