The correct answer is option 1, which states that statement 1 is correct while statement 2 is incorrect.

Statement 1: B. G. Tilak founded the Home Rule League in April 1916 in Maharashtra. This statement is correct. Bal Gangadhar Tilak, an Indian nationalist and freedom fighter, founded the Home Rule League as a political organization to demand self-rule for India. The league played a crucial role in the Indian independence movement.

Statement 2: N. C. Kelkar was not associated with the Home Rule Movement. This statement is incorrect. Narayan Chandavarkar Kelkar, also known as N. C. Kelkar, was an active participant and leader in the Home Rule Movement. He worked alongside Tilak to promote the cause of self-rule and was involved in organizing and mobilizing support for the movement.

Therefore, option 1 is the correct answer. Alert - correct answer should be option 3, as both statements 1 and 2 are correct.