The first woman Governor of a state in free India was

Mrs. Sarojini Naidu
Mrs. Sucheta Kriplani
Mrs. Indira Gandhi
Mrs. Vijaya Lakshmi Pandit

The correct answer is: D. Mrs. Vijaya Lakshmi Pandit

Mrs. Vijaya Lakshmi Pandit was the first woman Governor of a state in free India. She was the Governor of Uttar Pradesh from 1956 to 1961. She was also the first Indian woman to hold the office of the President of the United Nations General Assembly.

Mrs. Sarojini Naidu was a poet, politician, and freedom fighter. She was the first Indian woman to be elected President of the Indian National Congress. She was also the Governor of the United Provinces (now Uttar Pradesh) from 1937 to 1939.

Mrs. Sucheta Kriplani was a freedom fighter and politician. She was the first woman Chief Minister of Uttar Pradesh. She was also the Governor of Rajasthan from 1967 to 1972.

Mrs. Indira Gandhi was the first and only female Prime Minister of India. She was the daughter of Jawaharlal Nehru, the first Prime Minister of India. She was also the granddaughter of Motilal Nehru, a prominent Indian lawyer and politician.