The first woman Prime Minister of a country was:

The correct answer is Option (3) → Sirimavo Bandaranaike

Sirimavo Bandaranaike became Prime Minister of Ceylon (now Sri Lanka) in July 1960, the first woman in the world to be elected head of a government. She led the Sri Lanka Freedom Party after the assassination of her husband, Prime Minister S. W. R. D. Bandaranaike, in 1959, and served three terms as Prime Minister.

Indira Gandhi, India’s first woman Prime Minister, took office six years later, in 1966.