Explanation:

When the President’s Rule is imposed in a state, the President dismisses the state council of ministers headed by the chief minister. The state governor, on behalf of the President, carries on the state administration with the help of the chief secretary of the state or the advisors appointed by the President. Statement 2 is correct

Further, the President can either suspends or dissolves the state legislative assembly therefore not always the consequence of the proclamation. So Statement 1 is incorrect.

The Parliament passes the state legislative bills and the state budget. The President's Rule does not lead to dissolution of local bodies. Hence, statement 3 is correct.

Therefore the answer is 1 and 3 only.