Gopal Krishna Gokhale (Option 3) is the correct answer. Gokhale was a social and political leader during the Indian Independence Movement against British rule. He highly valued self-restraint, compromise, and practicality, and pursued moderate political means rather than radical ones. Despite being offered the title of Knighthood and a position in the Council of the Secretary of State for India, he declined both, demonstrating his commitment to the independence movement.

Options 1, 2, and 4, Motilal Nehru, M.G. Ranade, and B. G. Tilak respectively, were also significant figures in the Indian independence movement. However, these individuals had different approaches or did not receive the specific offers that Gokhale did.

Motilal Nehru (Option 1) was a lawyer and an activist in the Indian National Congress, while M. G. Ranade (Option 2) was a social reformer, scholar, and founding member of the Indian National Congress. Bal Gangadhar Tilak (Option 4) was a radical nationalist; unlike Gokhale, he favored more aggressive methods and did not reject any offered official positions or titles.