The correct answer is option 2, which states that the Government of India Act, 1935 provided autonomy to the provinces and dyarchy (diarchy) at the Centre.

Autonomy refers to self-governance or the ability of provinces to have their own government and make decisions, at least to some extent. The Government of India Act, 1935 aimed to grant a significant level of autonomy to the provinces in the British India.

Dyarchy, or diarchy, is a system of dual government where the power is divided between the elected representatives and the appointed officials. Under this system, some subjects are under the control of elected ministers, while some remain in the hands of appointed officials. The Act introduced dyarchy both at the provincial level and at the Centre, where certain subjects were entrusted to elected representatives and others to appointed officials.

Therefore, the Government of India Act, 1935 provided autonomy to the provinces, allowing them to have their own government, and also implemented dyarchy at the Centre, dividing power between elected representatives and appointed officials.