Answer: A, C
Chloroform with a strong base loses HX+ and then ClX−. Sodium trichloroethanoate loses COX2 to give CClX3X−, which loses ClX−. CHX3Cl with NaOH undergoes substitution to methanol and cannot give :CClX2 because it has no second Cl. CClX4 with AlClX3 gives CClX3X+ rather than a carbene.