Option 1: C Rajagopalachari was an important figure in Indian politics, but at the time of India`s partition, he was not the President of the Indian National Congress.

Option 2: J B Kripalani served as the President of the Indian National Congress during the time of India`s partition in 1947. Therefore, this is the correct answer.

Option 3: Jawaharlal Nehru did serve as the President of the Indian National Congress, but not at the time of partition. His tenure took place before the partition, from 1929 to 1946 and afterwards he became the first Prime Minister of India.

Option 4: Maulana Abul Kalam Azad was also a President of the Indian National Congress, but his tenure was from 1940 to 1945, before the partition of India. Hence, he also can`t be the right answer.

The correct answer is J B Kripalani.