The founder of the Arya Samaj, Swami Dayanand Saraswati, spent time in Punjab promoting:

Hindu revivalism and social reforms
Revolutionary activities
Support for the British Raj
Establishment of a Sikh homeland

The correct answer is: a) Hindu revivalism and social reforms.

Swami Dayanand Saraswati was a Hindu reformer and the founder of the Arya Samaj. He was born in Gujarat, India in 1824 and died in 1883. He was a strong advocate for Hindu revivalism and social reforms. He believed that Hinduism had been corrupted by foreign influences and that it needed to be purified. He also believed that Hindu society needed to be reformed in order to be more just and equitable.

Swami Dayanand Saraswati spent time in Punjab promoting Hindu revivalism and social reforms. He established schools and colleges in Punjab and gave lectures on Hindu philosophy and religion. He also worked to improve the lives of women and lower caste Hindus.

Option b) is incorrect because Swami Dayanand Saraswati was not a revolutionary. He believed that Hindu society could be reformed through education and persuasion, not through violence.

Option c) is incorrect because Swami Dayanand Saraswati was not a supporter of the British Raj. He believed that the British were exploiting India and that Indians should be free to govern themselves.

Option d) is incorrect because Swami Dayanand Saraswati did not support the establishment of a Sikh homeland. He believed that all Hindus should unite, regardless of their caste or sect.