The correct answer is option 3 - Committee on Public Assurances.

Option 1 - Concerned Departmentally Related Committee: This committee is responsible for reviewing and examining matters related to specific departments. It does not have the authority to decide on the fulfillment of commitments made by a Minister in the House.

Option 2 - Business Advisory Committee: This committee is responsible for scheduling and managing the business of the House. It does not have the authority to decide on the fulfillment of commitments made by a Minister in the House.

Option 3 - Committee on Public Assurances: This committee is specifically mandated to examine whether the commitments made by Ministers on the floor of the House have been fulfilled or not. It plays a crucial role in holding the government accountable for its actions.

Option 4 - Political Affairs Committee of the Union Cabinet: This committee is responsible for discussing and formulating political strategies. It does not have the authority to decide on the fulfillment of commitments made by a Minister in the House.

Therefore, the Committee on Public Assurances is the correct authority to decide whether a commitment made by a Minister on the floor of the House has been fulfilled or not.