Option 1: Bhavnagar - This princely state did support the Congress during the Civil Disobedience Movement. It participated in the movement and its ruler, Maharaja Krishnakumar Sinhji, actively supported the cause.
Option 2: Mysore - This princely state did not support the Congress during the Civil Disobedience Movement. The ruler of Mysore, Maharaja Nalvadi Krishnaraja Wodeyar, adopted a cautious approach and did not openly support the movement. He was more inclined towards a more moderate political approach.
Option 3: Junagadh - This princely state did support the Congress during the Civil Disobedience Movement. It actively participated in the movement, and its ruler, Muhammad Mahabat Khan III, showed support for the cause.
Option 4: Kathiawar - This princely state did support the Congress during the Civil Disobedience Movement. Many of the princely states in the Kathiawar region, such as Porbandar and Rajkot, actively participated in the movement.
In conclusion, option 2, Mysore, is the correct answer as it did not support the Congress during the Civil Disobedience Movement.